MEMS Atomic Clocks

Comprehensive Microsystems

Volumn 3, Issue , 2007, Pages 571-612

  Knappe, Svenja ^a  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

Chip scale atomic clocks; Coherent population trapping; CPT; CSAC; Frequency references; Laser spectroscopy; MEMS; Microfabrication

Indexed keywords

EID: 85069985807     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-044452190-3.00048-3     Document Type: Chapter

References (259)

1. Affolderbach C., Nagel A., Knappe S., Jung C., Wiedenmann D., Wynands R. Nonlinear spectroscopy with a vertical-cavity surface-emitting laser (VCSEL). Appl. Phys. B Lasers Opt 2000, 70:407-413.
2. Affolderbach C., Knappe S., Wynands R., Taichenachev A.V., Yudin V.I. Electromagnetically induced transparency and absorption in a standing wave. Phys. Rev. A 2002, 65:043810.
3. Affolderbach C., Droz F., Mileti G. Experimental demonstration of a compact and high-performance laser-pumped rubidium gas cell atomic frequency standard. IEEE Trans. Instrum. Meas 2006, 55:429-435.
4. Aleksandrov E.B., Balabas M.V., Vershovski A.K., Ivanov A.E., Yakobson N.N., Velichanski V.L., Senkov N.V. Laser pumping in the scheme of an Mx-magnetometer. Opt. Spectrosc 1995, 78:325-332.
5. Alexandrov E.B., Balabas M.V., Budker D., English D., Kimball D.F., Li C.H., Yashchuk V.V. Light-induced desorption of alkali-metal atoms from paraffin coating. Phys. Rev. A 2002, 66:042903.
6. Allan D.W. Time and frequency (time-domain) characterization, estimation, and prediction of precision clocks and oscillators. IEEE Trans. UFFC 1987, 34:647-654.
7. Allard N., Kielkopf J. The effect of neutral nonresonant collisions on atomic spectral lines. Rev. Mod. Phys 1982, 54:1103-1182.
8. Allred J.C., Lyman R.N., Kornack T.W., Romalis M.V. High-sensitivity atomic magnetometer unaffected by spin-exchange relaxation. Phys. Rev. Lett 2002, 89:130801.
9. Alzetta G., Gozzini A., Moi L., Orriols G. Experimental-method for observation of Rf transitions and laser beat resonances in oriented Na vapor. Nuovo Cim 1976, 36:5-20.
10. Alzetta G., Botti L., Cartaleva S., Celli R.M., Rossi A. Superposition of states and quantum interference in rubidium by diode laser modulation. Proceedings of SPIE - 10th International Society for Optical Engineering 1999, 195-199.
11. Arditi M., Carver T.R. Pressure, light, and temperature shifts in optical detection of 0-0 hyperfine resonance of alkali metals. Phys. Rev 1961, 124:800-809.
12. Arimondo E. Coherent population trapping in laser spectroscopy. Progress in Optics 1996, Vol. 35. Elsevier Science Publication B V, Amsterdam, The Netherlands. E. Wolf (Ed.).
13. Arimondo E. Relaxation processes in coherent-population trapping. Phys. Rev. A 1996, 54:2216-2223.
14. Arimondo E., Orriols G. Non-absorbing atomic coherences by coherent 2-photon transitions in a 3-level optical-pumping. Lett. Nuovo Cim 1976, 17:333-338.
15. Aspect A., Arimondo E., Kaiser R., Vansteenkiste N., Cohentannoudji C. Laser cooling below the one-photon recoil energy by velocity-selective coherent population trapping. Phys. Rev. Lett 1988, 61:826-829.
16. Avalon Photonics, Avalon Photonics Datacom VCSELs, http://www.avap.ch.
17. Balabas M.V., Budker D., Kitching J., Schwindt P.D.D., Stalnaker J.E. Magnetometry with millimeter-scale antirelaxation-coated alkali-metal vapor cells. J. Opt. Soc. Am. B 2006, 23:1001-1006.
18. Barrat J.P., Cohen-Tannoudji C. Etude du pompage optique dans le formalisme de la matrice densité. J. Phys. Radium 1961, 22:329-336.
19. Bentley C.L., Liu J. LWI in a driven lambda three-level atom and effects of the probe laser on EIT. Opt. Commun 1999, 169:289-299.
20. Beverini N., Minguzzi P., Strumia F. Foreign-gas-induced cesium hyperfine relaxation. Phys. Rev. A 1971, 4:550-555.
21. f=0 ground-state hyperfine line in Cs. Opt. Commun 1981, 37:394-396.
22. Bhaskar N.D. Potential for improving the rubidium frequency standard with a novel optical pumping scheme using diode lasers. IEEE Trans. UFFC 1995, 42:15-20.
23. Bloch M., Pascaru I., Stone C., Mcclelland T. Subminiature rubidium frequency standard for commercial applications. IEEE International Frequency Control Symposium 1993, 164-177.
24. Bloch M., Mancini O., Mcclelland T. Performance of rubidium and quartz clocks in space. 2000 IEEE Frequency Control Symposium 2000, 505-509.
25. Bloembergen N., Purcell E.M., Pound R.V. Relaxation effects in nuclear magnetic resonance absorption. Phys. Rev 1948, 73:679-712.
26. Bloom A.L. Principles of operation of the rubidium vapor magnetometer. Appl. Opt 1962, 1:61-68.
27. Bouchiat M.A., Brossel J. Relaxation of optically pumped Rb atoms on paraffin-coated walls. Phys. Rev 1966, 147:41-54.
28. Brandt S., Nagel A., Wynands R., Meschede D. Buffer-gas-induced linewidth reduction of coherent dark resonances to below 50Hz. Phys. Rev. A 1997, 56:R1063-R1066.
29. Brannon A., Breitbarth J., Popović Z. A low-power, low phase noise local oscillator for chip-scale atomic clocks. 2005 IEEE MTT-S International Microwave Symposium 2005, 1535-1538.
30. Brannon A, Breitbarth J, Janković M, Popović Z 2006a Low-power, low phase noise local oscillators for chip-scale atomic clocks. IEEE Trans. MTT-S, submitted.
31. Brannon A., Janković M., Breitbarth J., Popović Z., Gerginov V., Shah V., Knappe S., Hollberg L., Kitching J. A local oscillator for chip-scale atomic clocks at NIST. IEEE Frequency Control Symposium 2006, 443-447.
32. Buckle S.J., Barnett S.M., Knight P.L., Lauder M.A., Pegg D.T. Atomic interferometers - Phase-dependence in multilevel atomic transitions. Opt. Acta 1986, 33:1129-1140.
33. Budker D., Hollberg L., Kimball D.F., Kitching J., Pustelny S., Yashchuk V.V. Microwave transitions and nonlinear magneto-optical rotation in anti-relaxation-coated cells. Phys. Rev. A 2005, 71:012903.
34. Camparo J.C. Conversion of laser phase noise to amplitude noise in an optically thick vapor. J. Opt. Soc. Am. B 1998, 15:1177-1186.
35. Camparo J.C. Atomic stabilization of electromagnetic field strength using Rabi resonances. Phys. Rev. Lett 1998, 80:222-225.
36. Camparo J 2004 Frequency equilibration and the light-shift effect for block IIR GPS rubidium clocks. Precise Time and Time Interval (PTTI) Meeting Washington, DC, USA.
37. Camparo J.C., Buell W.F. Laser PM to AM conversion in atomic vapors and short term clock stability. IEEE Frequency Control Symposium 1997, 253-258.
38. Camparo J.C., Frueholz R.P., Volk C.H. Inhomogeneous light shift in alkali-metal atoms. Phys. Rev. A 1983, 27:1914-1924.
39. Camparo J.C., Klimcak C.M., Herbulock S.J. Frequency equilibration in the vapor-cell atomic clock. IEEE Trans. Instrum. Meas 2005, 54:1873-1880.
40. Chang-Hasnain C.J., Harbison J.P., Hasnain G., Von Lehmen A.C., Florez L.T., Stoffel N.G. Dynamic, polarization, and transverse mode characteristics of vertical cavity surface emitting lasers. IEEE J. Quantum Electron 1991, 27:1402-1409.
41. Chantry P.J., Liberman I., Verbanets W.R., Petronio C.F., Cather R.L., Partlow W.D. Miniature laser-pumped cesium cell atomic clock oscillator. IEEE International Frequency Control Symposium 1996, 1002-1010.
42. Chavez-Pirson A., Ando H., Saito H., Kanbe H. Polarization properties of a vertical cavity surface emitting laser using a fractional layer superlattice gain medium. Appl. Phys. Lett 1993, 62:3082-3084.
43. Choquette K.D., Leibenguth R.E. Control of vertical-cavity laser polarization with anisotropic transverse cavity geometries. IEEE Photon. Technol. Lett 1994, 6:40-42.
44. Choquette K.D., Schneider R.P., Lear K.L., Geib K.M. Low threshold voltage vertical-cavity lasers fabricated by selective oxidation. Electron. Lett 1994, 30:2043-2044.
45. Clauser J.F. Ultrahigh sensitivity accelerometers and gyroscopes using neutral atom matter-wave interferometry. Physica B and C 1988, 151:262-272.
46. Coffer J.G., Anderson M., Camparo J.C. Collisional dephasing and the reduction of laser phase-noise to amplitude-noise conversion in a resonant atomic vapor. Phys. Rev. A 2002, 65:033807.
47. Copley G., Krause L. Trapping and quenching of potassium resonance radiation. Can. J. Phys 1969, 47:533-539.
48. Cyr N., Têtu M., Breton M. All-optical microwave frequency standard - A proposal. IEEE Trans. Instrum. Meas 1993, 42:640-649.
49. Dalton B.J., Knight P.L. The effects of laser field fluctuations on coherent population trapping. J. Phys. B 1982, 15:3997-4015.
50. Darpa Mto Csac Project, http://www.darpa.mil/mto.
51. Debernardi P., Gian Paolo B. Coupled mode theory: A powerful tool for analyzing complex VCSELs and designing advanced device features. IEEE J. Quantum Electron 2003, 9:905-917.
52. Degen C., Fischer I., Elsäßer W., Fratta L., Debernardi P., Bava G.P., Brunner M., Hävel R., Moser M., Gulden K. Transverse modes in thermally detuned oxide-confined vertical-cavity surface-emitting lasers. Phys. Rev. A 2001, 63:023817.
53. Di Sopra F.M., Zappe H.P., Moser M., Hovel R., Gauggel H.P., Gulden K. Near-infrared vertical-cavity surface-emitting lasers with 3-MHz linewidth. IEEE Photon. Technol. Lett 1999, 11:1533-1535.
54. Dicke R.H. The effect of collisions upon the Doppler width of spectral lines. Phys. Rev 1953, 89:472-473.
55. Ekinci K.L., Roukes M.L. Nanoelectromechanical systems. Rev. Sci. Instrum 2005, 76:061101.
56. Enloe L.H., Rodda J.L. Laser phase-locked loop. Proc. IEEE 1965, 52:165-166.
57. Erhard M., Nußmann S., Helm H. Power broadening and Doppler effects of coherent dark resonances in Rb. Phys. Rev. A 2000, 62:061802.
58. Erklund E.J., Shkel A.M. Glass blowing on wafer level. J. Microelectromech. Syst 2007, 16:232-239.
59. Espe W. Materials of High Vacuum Technology 1966, Pergamon, Oxford.
60. Fleischhauer M., Lukin M.D. Dark-state polaritons in electromagnetically induced transparency. Phys. Rev. Lett 2000, 84:5094-5097.
61. Fleischhauer M., Imamoglu A., Marangos J.P. Electromagnetically induced transparency: Optics in coherent media. Rev. Mod. Phys 2005, 77:633-673.
62. Frazer J.T. Optically pumped magnetic resonance gyroscope and direction sensor. US PTO 1963, 3(103):621.
63. Fruehauf H. Fast "direct-P(Y)" GPS signal acquisition using a special portable clock. 33rd Annual Precise Time and Time Interval (PTTI) Meeting 2001, 359-369.
64. Frueholz R.P., Volk C.H., Camparo J.C. Use of wall coated cells in atomic frequency standards. J. Appl. Phys 1983, 54:5613-5617.
65. Fumio K., Susumu K., Kenichi I. Room-temperature continuous wave lasing characteristics of a GaAs vertical cavity surface-emitting laser. Appl. Phys. Lett 1989, 55:221-222.
66. Gerginov V., Knappe S., Schwindt P.D.D., Shah V., Liew L., Moreland J., Robinson H.G., Hollberg L., Kitching J., Brannon A., Breitbarth J., Popovic Z. Component-level demonstration of a microfabricated atomic frequency reference. Proceedings of the 2005 IEEE International Frequency Control Symposium and Exposition 2005, 758-766.
67. Gerginov V., Knappe S., Shah V., Schwindt P.D.D., Hollberg L., Kitching J. Long-term frequency instability of atomic frequency references based on coherent population trapping and microfabricated vapor cells. J. Opt. Soc. Am. B 2006, 23:593-597.
68. Gerginov V, Knappe S, Shah V, Hollberg L, Kitching J 2007 Laser noise cancellation in single-cell CPT clocks. Rev. Sci. Instrum., accepted.
69. Gierkink S.L.J., Levantino S., Frye R.C., Samori C., Boccuzzi V. A low-phase-noise 5-GHz CMOS quadrature VCO using superharmonic coupling. IEEE J. Solid-State Circ 2003, 38:1148-1154.
70. Godone A., Levi F., Micalizio S., Vanier J. Theory of the coherent population trapping maser: A strong-field self-consistent approach. Phys. Rev. A 2000, 62:053402.
71. Godone A., Levi F., Micalizio S., Vanier J. Dark-line in optically-thick vapors: Inversion phenomena and line width narrowing. Eur. Phys. J. D 2002, 18:5-13.
72. Gong F., Jau Y.Y., Jensen K., Happer W. Electrolytic fabrication of atomic clock cells. Rev. Sci. Instrum 2006, 77:076101.
73. Grabherr M., Jager R., Michalzik R., Weigl B., Reiner G., Ebeling K.J. Efficient single-mode oxide-confined GaAs VCSEL's emitting in the 850-nm wavelength regime. IEEE Photon. Technol. Lett 1997, 9:1304-1306.
74. Gray H.R., Whitley R.M., Stroud C.R. Coherent trapping of atomic populations. Opt. Lett 1978, 3:218-220.
75. Gröger S., Bison G., Schenker J.L., Wynands R., Weis A. A high-sensitivity laser-pumped Mx magnetometer. Eur. Phys. J. D 2006, 38:239-247.
76. Guo H., Lal A. Self-powered photon source. 12th Int. Conf. Solid State Sensors, Actuators and Microsystems (Transducers '03) 2003, 1474-1477.
77. Gustavson T.L., Bouyer P., Kasevich M.A. Precision rotation measurements with an atom interferometer gyroscope. Phys. Rev. Lett 1997, 78:2046-2049.
78. Häensch T.W., Levenson M.D., Schawlow A.L. Complete hyperfine structure of a molecular iodine line. Phys. Rev. Lett 1971, 26:946-949.
79. Happer W. Optical pumping. Rev. Mod. Phys 1972, 44:169-249.
80. Harris S.E. Electromagnetically induced transparency. Phys. Today 1997, 50:36-42.
81. Harris S.E., Field J.E., Imamoglu A. Nonlinear optical processes using electromagnetically induced transparency. Phys. Rev. Lett 1990, 64:1107-1110.
82. Hemmer P.R., Ezekiel S., Leiby C.C. Stabilization of a microwave-oscillator using a resonance Raman transition in a sodium beam. Opt. Lett 1983, 8:440-442.
83. Hemmer P.R., Shahriar M.S., Lamelarivera H., Smith S.P., Bernacki B.E., Ezekiel S. Semiconductor-laser excitation of Ramsey fringes by using a Raman transition in a cesium atomic-beam. J. Opt. Soc. Am. B 1993, 10:1326-1329.
84. Hemmer P.R., Katz D.P., Donoghue J., Croningolomb M., Shahriar M.S., Kumar P. Efficient low-intensity optical-phase conjugation based on coherent population trapping in sodium. Opt. Lett 1995, 20:982-984.
85. Ho J., Pascaru I., Stone C., Mcclelland T. New Rubidium frequency standard designs for telecommunications applications. IEEE International Frequency Control Symposium 1998, 80-83.
86. Hsu W.-T., Nguyen C.T.C. Stiffness-compensated temperature-insensitive micromechanical resonators. 15th IEEE Int. Conf. Micro Electro Mech. Syst 2002, 731-734.
87. Huffaker D.L., Shin J., Deppe D.G. Low threshold half-wave vertical-cavity lasers. Electron. Lett 1994, 30:1946-1947.
88. Ivanov E.N., Tobar M.E. Low phase-noise microwave oscillators with interferometric signal processing. IEEE Trans MTT-S 2006, 54:3284-3294.
89. Ivanov E.N., Tobar M.E., Woode R.A. Microwave interferometry: Application to precision measurements and noise reduction techniques. IEEE Trans. UFFC 1998, 45:1526-1536.
90. Jau Y.Y., Post A.B., Kuzma N.N., Braun A.M., Romalis M.V., Happer W. The physics of miniature atomic clocks: 0-0 versus "end" resonances. Proceedings of the Annual IEEE International Frequency Control Symposium 2003, 33-36.
91. Jau Y.Y., Miron E., Post A.B., Kuzma N.N., Happer W. Push-pull optical pumping of pure superposition states. Phys. Rev. Lett 2004, 93:160802.
92. Jau Y.Y., Post A.B., Kuzma N.N., Braun A.M., Romalis M.V., Happer W. Intense, narrow atomic-clock resonances. Phys. Rev. Lett 2004, 92:110801.
93. Jau Y Y, Post A, Gong F, Miron E, Kuzma N N, Happer W 2006 Physics and cell manufacturing of miniature atomic clocks. NICT CSAC Workshop Tokyo, Japan.
94. Jewell J.L., Scherer A., Mccall S.L., Lee Y.H., Walker S., Harbison J.P., Florez L.T. Low-threshold electrically pumped vertical-cavity surface-emitting microlasers. Electron. Lett 1989, 25:1123-1124.
95. Jung C., Jager R., Grabherr M., Schnitzer P., Michalzik R., Weigl B., Muller S., Ebeling K.J. 4.8 mW singlemode oxide confined top-surface emitting vertical-cavity laser diodes. Electron. Lett 1997, 33:1790-1791.
96. Kaiser J., Degen C., Elsässer W. Polarization-switching influence on the intensity noise of vertical-cavity surface-emitting lasers. J. Opt. Soc. Am. B 2002, 19:672-677.
97. Kargapoltsev S.V., Kitching J., Hollberg L., Taichenachev A.V., Velichansky V.L., Yudin V.I. High-contrast dark resonance in sigma(+)-sigma(-) optical field. Laser Phys. Lett 2004, 1:495-499.
98. Kasapi A., Jain M., Yin G.Y., Harris S.E. Electromagnetically induced transparency: Propagation dynamics. Phys. Rev. Lett 1995, 74:2447-2450.
99. Kazakov G., Matisov B., Mazets I., Mileti G. Optimized scheme of a rubidium all-optical frequency standard. Tech. Phys. Lett 2005, 31:1009-1010.
100. Kazakov G., Matisov B., Mazets I., Mileti G., Delporte J. Pseudoresonance mechanism of all-optical frequency-standard operation. Phys. Rev. A 2005, 72:063408.
101. Khanna A.P.S., Gane E., Chong T. A 2GHz voltage tunable FBAR oscillator. IEEE MTT-S International Microwave Symposium 2003, 717-720.
102. 2P States. Phys. Rev 1967, 153:9-12.
103. King R., Wiedenmann D., Schnitzer P., Jaeger R., Michalzik R., Ebeling K.J. Single-mode and multimode 2D VCSEL arrays for parallel optical interconnects. Conference Digest - IEEE International Semiconductor Laser Conference 1998, 103-104.
104. Kitching J 2003 Local oscillator requirements for chip-scale atomic clocks, Unpublished.
105. Kitching J., Hollberg L., Knappe S., Wynands R. Compact atomic clock based on coherent population trapping. Electron. Lett 2001, 37:1449-1451.
106. Kitching J., Hollberg L., Knappe S., Wynands R. Frequency-dependent optical pumping in atomic Λ-systems. Opt. Lett 2001, 26:1507-1509.
107. Kitching J., Robinson H.G., Hollberg L., Knappe S., Wynands R. Optical-pumping noise in laser-pumped, all-optical microwave frequency references. J. Opt. Soc. Am. B 2001, 18:1676-1683.
108. Kitching J., Knappe S., Hollberg L. Miniature vapor-cell atomic-frequency references. Appl. Phys. Lett 2002, 81:553-555.
109. Kitching J., Knappe S., Schwindt P.D.D., Shah V., Hollberg L., Liew L., Moreland J. Power dissipation in vertically integrated chip-scale atomic clocks. Proceedings of the 2004 IEEE International Frequency Control Symposium 2004, 781-784.
110. Kleppner D., Goldenberg H.M., Ramsey N.F. Theory of the hydrogen maser. Phys. Rev 1962, 126:603-615.
111. Knappe S 2001 Dark resonance magnetometers and atomic clocks. Ph.D. Thesis, University of Bonn.
112. Knappe S., Kemp W., Affolderbach C., Nagel A., Wynands R. Splitting of coherent population-trapping resonances by the nuclear magnetic moment. Phys. Rev. A 1999, 61:012508.
113. Knappe S., Wynands R., Kitching J., Robinson H.G., Hollberg L. Characterization of coherent population-trapping resonances as atomic frequency references. J. Opt. Soc. Am. B 2001, 18:1545-1553.
114. Knappe S., Kitching J., Hollberg L., Wynands R. Temperature dependence of coherent population trapping resonances. Appl. Phys. B Lasers Opt 2002, 74:217-222.
115. Knappe S., Velichansky V., Robinson H.G., Kitching J., Hollberg L. Compact atomic vapor cells fabricated by laser-induced heating of hollow-core glass fibers. Rev. Sci. Instrum 2003, 74:3142-3145.
116. Knappe S., Velichansky V., Robinson H.G., Liew L., Moreland J., Kitching J., Hollberg L. Atomic vapor cells for miniature frequency references. Proceedings of the 2003 IEEE International Frequency Control Symposium and PDA Exhibition Jointly with the 17th European Frequency and Time Forum 2003, 31-32.
117. Knappe S., Hollberg L., Kitching J. Dark-line atomic resonances in submillimeter structures. Opt. Lett 2004, 29:388-390.
118. Knappe S., Shah V., Schwindt P.D.D., Hollberg L., Kitching J., Liew L.A., Moreland J. A microfabricated atomic clock. Appl. Phys. Lett 2004, 85:1460-1462.
119. Knappe S., Gerginov V., Schwindt P.D.D., Shah V., Robinson H., Hollberg L., Kitching J. Atomic vapor cells for chip-scale atomic clocks with improved long-term frequency stability. Opt. Lett 2005, 30:2351-2353.
120. Knappe S., Schwindt P.D.D., Shah V., Hollberg L., Kitching J., Liew L., Moreland J. A chip-scale atomic clock based on Rb-87 with improved frequency stability. Opt. Expr 2005, 13:1249-1253.
121. Knappe S., Robinson H.G., Hollberg L. Microfabricated saturated absorption laser spectrometer. Optics Express 2007, 15:6293-6299.
122. Kocharovskaya O. Amplification and lasing without inversion. Phys. Rep 1992, 219:175-190.
123. Korsunsky E.A., Leinfellner N., Huss A., Baluschev S., Windholz L. Phase-dependent electromagnetically induced transparency. Phys. Rev. A 1999, 59:2302-2305.
124. Kosachiov D., Matisov B., Rozhdestvensky Y. Coherent population trapping - Sensitivity of an atomic system to the relative phase of exciting fields. Opt. Commun 1991, 85:209-212.
125. Kosachiov D.V., Matisov B.G., Rozhdestvensky Y.V. Coherent phenomena in multilevel systems with closed interaction contour. J. Phys. B 1992, 25:2473-2488.
126. Koyama Y., Matsura H., Atsumi K., Nakamuta K., Sakai M., Maruyama I. An ultra-miniature rubidium frequency standard. IEEE International Frequency Control Symposium 2000, 694-699.
127. Kubena R.L., Stratton F.P., Chang D.T., Joyce R.J., Hsu T.Y., Lim M.K., M'closkey R.T. MEMS-based quartz oscillators and filters for on-chip integration. Proceedings of the 2005 IEEE International Frequency Control Symposium and Exposition 2005, 122-127.
128. Kusters J.A., Adams C.A. Performance requirements of communication base station time standards 1999, RF Design, May 28-30, 1999.
129. Kwakernaak M.H., Lipp S., Mcbride S., Zanzucchi P., Chan W.K., Khalfin V.B., An H., Whaley J.R.D., Willner B.I., Ulmer A., Li J.Z., Davis T., Braun A.M., Abeles J.H., Post A., Jau Y.-Y., Kuzma N.N., Happer W. Components for batch-fabricated chip-scale atomic clock. Technical Digest of 36th Annual Precise Time and Time Interval (PTTI) Meeting 2004, 355.
130. 2). Appl. Phys. Lett 1995, 67:1229-1231.
131. Larsson A., Carlsson C., Gustavsson J., Haglund A., Modh P., Bengtsson J. Direct high-frequency modulation of VCSELs and applications in fibre optic RF and microwave links. New J. Phys 2004, 6:176. http://www.njp.org/.
132. Laws A., Chang R.Y.J., Bright V.M., Lee Y.C. Thermal management for chip-scale atomic clocks. Proc. ASME/Pacific Rim Tech. Conf. Exhibit. Integration and Packaging of MEMS, NEMS, and Electronic Systems: Advances in Electronic Packaging 2005, 741-746.
133. Lear K.L., Mar A., Choquette K.D., Kilcoyne S.P., Schneider R.P., Geib K.M. High-frequency modulation of oxide-confined vertical cavity surface emitting lasers. Electron. Lett 1996, 32:457-458.
134. Lee C, Guo H, Radhakrishnan S, Lal A, Szekely C, Mcclelland T A, Pisano A 2004 A batch fabricated rubidium-vapor resonance cell for chip scale atomic clock. Solid State Sensor and Actuator Workshop Hilton Head Island, SC, USA.
135. Lee H.J., Adams C.S., Kasevich M., Chu S. Raman cooling of atoms in an optical dipole trap. Phys. Rev. Lett 1996, 76:2658-2661.
136. Lee S., Nguyen C.T.C. Mechanically-coupled micromechanical resonator arrays for improved phase noise. Proceedings of the 2004 IEEE International Frequency Control Symposium and Exposition 2004, 144-150.
137. Letokhov V.S. Saturation spectroscopy. High-Resolution Laser Spectroscopy 1976, Springer-Verlag, New York. K. Shimoda (Ed.).
138. Levi F, Godone A, Novero C, Vanier J 1997 On the use of a modulated laser for hyperfine frequency excitation in passive frequency standards. 11th Annual European Frequency and Time ForumNeuchatel, Switzerland.
139. Levi F., Godone A., Vanier J. Light shift effect in the coherent population trapping cesium maser. IEEE Trans. UFFC 2000, 47:466-470.
140. Li S.-S., Lin Y.-W., Xie Y., Ren Z., Nguyen C.T.C. Micromechanical "hollow-disk" ring resonators. 17th IEEE Int. Conf. Micro Electro Mechanical Systems (MEMS) 2004, 821-824.
141. Liew L.A., Knappe S., Moreland J., Robinson H., Hollberg L., Kitching J. Microfabricated alkali atom vapor cells. Appl. Phys. Lett 2004, 84:2694-2696.
142. Liew L., Moreland J., Knappe S., Shah V., Schwindt P., Gerginov V., Kitching J., Hollberg L. Microfabricated alkali atom vapor cells with in-situ heating for atomic-based sensors. Proc. 3rd Int. Symp. Sensor Science 2005, 181-183.
143. Liew L, Moreland J, Gerginov V 2006 Wafer-level fabrication and filling of cesium vapor cells for chip-scale atomic devices. Proceedings of the 20th Eurosensors Conference Goteberg, Sweden, paper W1B-P2.
144. Liew L.-A., Moreland J., Gerginov V. Water-level filling of microfabricated atomic vapour cells based on thin-film deposition and photolysis of cesium azide. Appl. Phys. Lett 2007, 90:114106.
145. Liu C., Dutton Z., Behroozi C.H., Vestergaard Hau L. Observation of coherent optical information storage in an atomic medium using halted light pulses. Nature 2001, 409:490-493.
146. Lukin M.D., Yelin S.F., Fleischhauer M., Scully M.O. Quantum interference effects induced by interacting dark resonances. Phys. Rev. A 1999, 60:3225-3228.
147. Lutwak R., Emmons D., Riley W., Garvey R.M. The chip-scale atomic clock - Coherent population trapping vs. conventional interrogation. 34th Annual Precise Time and Time Interval (PTTI) Meeting 2002, 539-550.
148. Lutwak R., Emmons D., English T., Riley W., Duwel A., Varghese M., Serkland D.K., Peake G.M. The chip-scale atomic clock - Recent development progress. 35th Annual Precise Time and Time Interval (PTTI) Meeting 2003, 1-12.
149. Lutwak R., Deng J., Riley W., Varghese M., Leblanc J., Tepolt G., Mescher M., Serkland D.K., Geib K.M., Peake G.M. The chip-scale atomic clock - Low-power physics package. 36th Annual Precise Time and Time Interval (PTTI) Meeting 2004, 1-14.
150. Lutwak R., Vlitas P., Varghese M., Mescher M., Serkland D.K., Peake G.M. The MAC - A miniature atomic clock. Joint Meeting of the IEEE International Frequency Control Symposium and the Precise Time and Time Interval (PTTI) Systems and Applications Meeting 2005, 752-757.
151. Lyons H. The atomic clock - A universal standard for frequency and time. Am. Scholar 1950, 19:159-168.
152. Maichen W., Gaggl R., Korsunsky E., Windholz L. Observation of phase-dependent coherent population trapping in optically closed atomic systems. Europhys. Lett 1995, 31:189-194.
153. Maichen W., Renzoni F., Mazets I., Korsunsky E., Windholz L. Transient coherent population trapping in a closed loop interaction scheme. Phys. Rev. A 1996, 53:3444-3448.
154. Marangos J.P. Topical review electromagnetically induced transparency. J. Mod. Opt 1998, 45:471-503.
155. Mathur B.S., Tang H., Happer W. Light shifts in the alkali atoms. Phys. Rev 1968, 171:11-19.
156. McClelland T., Pascaru I., Shtaerman I., Stone C., Szekely C., Zacharski J., Bhaskar N.D. Subminiature rubidium frequency standard: Manufacturability and performance results from production units. IEEE International Frequency Control Symposium 1995, 39-52.
157. McClelland T., Pascaru I., Shtaerman I., Stone C., Szekely C., Zacharski J., Bhaskar N.D. Subminiature rubidium frequency standard: Performance improvements. IEEE International Frequency Control Symposium 1996, 1011-1016.
158. McClelland T., Ho J., Pascaru I., Stone C. Rb frequency standard with expanded operating temperature range. Joint Meeting of the European Frequency and Time Forum and the IEEE International Frequency Control Symposium 1999, 137-140.
159. 85Rb. J. Opt. Soc. Am. B 2003, 20:273-279.
160. Mileti G., Jinquan D., Walls F.L., Jennings D.A., Drullinger R.E. Laser-pumped rubidium frequency standards: New analysis and progress. IEEE J. Quantum Electron 1998, 34:233-237.
161. Mourant J.M., Imbornone J., Tewksbury T. A low phase noise monolithic VCO in SiGe BiCMOS. IEEE Radio Frequency Integrated Circuits (RFIC) Symposium 2000, 65-68.
162. Mueller G., Mueller M., Wicht A., Rinkleff R.H., Danzmann K. Optical resonator with steep internal dispersion. Phys. Rev. A 1997, 56:2385-2389.
163. Mukaihara T., Koyama F., Iga K. Engineered polarization control of GaAs/AlGaAs surface-emitting lasers by anisotropic stress from elliptical etched substrate hole. IEEE Photon. Technol. Lett 1993, 5:133-135.
164. Mukaihara T., Ohnoki N., Hayashi Y., Hatori N., Koyama F., Iga K. Polarization control of vertical-cavity surface emitting lasers using a birefringent metal/dielectric polarizer loaded on top distributed Bragg reflector. IEEE J. Quantum Electron 1995, 1:667-673.
165. Mukaihara T., Ohnoki N., Hayashi Y., Hatori N., Koyama F., Iga K. Excess intensity noise originated from polarization fluctuation in vertical-cavity surface-emitting lasers. IEEE Photon. Technol. Lett 1995, 7:1113-1115.
166. Mukoyama N, Otama H, Kuwata Y, Nakayama H 2006 850nm Single mode oxide-confined VCSEL. NICT Workshop on Chip Scale Atomic Clock Status and PotentialityNICT Headquarters, Koganei, Tokyo, Japan.
167. Murphy J., Skidmore T. A low-cost atomic clock: impact on the national airspace and GNSS availability. Proc. ION GPS-94; 7th Int. Meet. Satellite Division of the Institute of Navigation 1994, 1329-1336.
168. Myatt C.J., Newbury N.R., Wieman C.E. Simplified atom trap by using direct microwave modulation of a diode laser. Opt. Lett 1993, 18:649-651.
169. Nagel A 1999 Precision spectroscopy of coherent dark states in thermal cesium vapor. Ph.D. thesis, University of Bonn.
170. Nguyen C.T.C. MEMS technology for timing and frequency control. Proceedings of the 2005 IEEE International Frequency Control Symposium and Exposition 2005, 1-11.
171. Nguyen C.T.-C., Howe R.T. Microresonator frequency control and stabilization using an integrated micro oven. Dig. Tech. Pap., 7th Int. Conf. Solid-State Sensors and Actuators (Transducers '93) 1993, 1040-1043.
172. Nikonov D.E., Rathe U.W., Scully M.O., Zhu S.Y., Fry E.S., Li X.F., Padmabandu G.G., Fleischhauer M. Atomic coherence effects within the sodium D(1) manifold.2. Coherent optical-pumping. Quantum Opt 1994, 6:245-260.
173. Novikova I., Phillips D.F., Zibrov A.S., Walsworth R.L., Taichenachev A.V., Yudin V.I. N-resonances for D-1 and D-2 transitions. Opt. Lett 2006, 31:2353-2355.
174. Novikova I., Phillips D.F., Zibrov A.S., Walsworth R.L., Taichenachev A.V., Yudin V.I. Cancellation of light shifts in an N-resonance clock. Opt. Lett 2006, 31:622-624.
175. Numai T., Kurihara K., Kuhn K., Kosaka H., Ogura I., Kajita M., Saito H., Kasahara K. Control of light-output polarization for surface-emitting-laser type device by strained active layer grown on misoriented substrate. IEEE J. Quantum Electron 1995, 31:636-642.
176. Orriols G. Non-absorption resonances by non-linear coherent effects in a 3-level system. Nuovo Cim 1979, 53:1-24.
177. Ostermann J.M., Debernardi P., Jalics C., Michalzik R. Polarization-stable oxide-confined VCSELs with enhanced single-mode output power via monolithically integrated inverted grating reliefs. IEEE J. Quantum Electron 2005, 11:982-989.
178. Pang W., Hongyu Y., Hao Z., Eun Sok K. Electrically tunable and temperature compensated FBAR. IEEE MTT-S International Microwave Symposium Digest 2005, 1279-1282.
179. Phillips D.F., Fleischhauer A., Mair A., Walsworth R.L., Lukin M.D. Storage of light in atomic vapor. Phys. Rev. Lett 2001, 86:783-786.
180. Phillips D.F., Novikova I., Zibrov S., Smallwood C., Taichenachev A.V., Yudin V.I., Walsworth R.L., Zibrov A.S. A novel absorption resonance for atomic clocks. Proceedings of the 2005 IEEE International Frequency Control Symposium and Exposition 2005, 767-773.
181. Phillips D.F., Novikova I., Wang C., Walsworth R.L., Crescimanno M. Modulation-induced frequency shifts in a coherent-population-trapping-based atomic clock. J. Opt. Soc. Am. B 2006, 22:305-310.
182. Photonics U Reliability study, http://www.ulmphotonics.de/.
183. Post A.B., Jau Y.Y., Kuzma N.N., Happer W. Amplitude- versus frequency-modulated pumping light for coherent population trapping resonances at high buffer-gas pressure. Phys. Rev. A 2005, 72:1-17.
184. Pozar D.M. Microwave and RF Design of Wireless Systems 2001, John Wiley and Sons Inc., New York.
185. Special issue: Fifty years of atomic time-keeping: 1995 to 2005. Metrologia 2005, 42.
186. Radhakrishnan S., Lal A. Alkali metal-wax micropackets for chip-scale atomic clocks. Dig. Tech. Pap. - Int. Conf. Solid State Sensors and Actuators and Microsystems, Transducers '05 2005, 23-26.
187. Ramsey N.F. A molecular beam resonance method with separated oscillating fields. Phys. Rev 1950, 78:695-699.
188. 87Rb frequency standards. J. Appl. Phys 1980, 51:4571-4576.
189. Robinson H G 2003 Personal communications.
190. Robinson H., Ensberg E., Dehmelt H. Preservation of spin state in free atom inert surface collisions. Bull. Am. Phys. Soc 1958, 3:9.
191. 87Rb hyperfine-structure resonances in an evacuated wall-coated cell. Appl. Phys. Lett 1982, 40:771-773.
192. Rochat P., Leuenberger B., Stehlin X. A new synchronized ultra miniature rubidium oscillator. IEEE Int. Freq. Contr. Symp 2002, 451-454.
193. Römisch S., Lutwak R. Low-Power, 4.6-GHz stable oscillator for CSAC. International Frequency Control Symposium 2006, 448-451.
194. Rosenbluh M., Shah V., Knappe S., Kitching J. Differentially detected coherent population trapping resonances excited by orthogonally polarized laser fields. Opt. Expr 2006, 14:6588-6594.
195. Ruther P., Herrscher M., Paul O. A micro differential thermal analysis (/spl mu/DTA) system. 17th IEEE Int. Conf. Micro Electro Mechanical Systems (MEMS) 2004, 165-168.
196. Sargsyan A., Sarkisyan D., Papoyan A. Dark-line atomic resonances in a submicron-thin Rb vapor layer. Phys. Rev. A 2006, 73:033803.
197. Schmidt O., Wynands R., Hussein Z., Meschede D. Steep dispersion and group velocity below c/3000 in coherent population trapping. Phys. Rev. A 1996, 53:R27-R30.
198. Schmidt-Kaler F., Eschner J., Morigi G., Roos C.F., Leibfried D., Mundt A., Blatt R. Laser cooling with electromagnetically induced transparency: Application to trapped samples of ions or neutral atoms. Appl. Phys. B 2001, 73:807-814.
199. Schwindt P.D.D., Knappe S., Shah V., Hollberg L., Kitching J., Liew L.A., Moreland J. Chip-scale atomic magnetometer. Appl. Phys. Lett 2004, 85:6409-6411.
200. Schwindt P.D.D., Lindseth B., Knappe S., Shah V., Kitching J. A chip-scale atomic magnetometer with improved sensitivity using the Mx technique. Appl. Phys. Lett. 2006, 90:081102.
201. Scully M.O., Fleischhauer M. High-sensitivity magnetometer based on index-enhanced media. Phys. Rev. Lett 1992, 69:1360-1363.
202. Serkland D.K., Peake G.M., Geib K.M., Lutwak R., Michael Garvey R., Varghese M., Mescher M. VCSELs for atomic clocks. Proceedings of SPIE - The International Society for Optical Engineering 2006, 613208. K.D.C. Chun Lei (Ed.).
203. Seurin J.-F.P., Chuang S.L., Chirovski L.M.F., Choquette K.D. Novel VCSEL designs deliver high output power. Laser Focus World 2002, 38:119-124.
204. Shah V, Knappe S, Hollberg L, Kitching J 2004 On open Λsystems and the stability of coherent population trapping devices. Unpublished.
205. Shah V., Gerginov V., Schwindt P.D.D., Knappe S., Hollberg L., Kitching J. Continuous light shift correction in modulated CPT clocks. Appl. Phys. Lett. 2006, 89:151124.
206. Shah V., Knappe S., Schwindt P.D.D., Gerginov V., Kitching J. Compact phase delay technique for increasing the amplitude of coherent population trapping resonances in open Λ systems. Opt. Lett 2006, 31:2335-2337.
207. Shahriar M.S., Hemmer P.R. Direct excitation of microwave-spin dressed states using a laser-excited resonance Raman interaction. Phys. Rev. Lett 1990, 65:1865-1868.
208. Shimuzi M., Mukaihara T., Koyama F., Iga K. Polarisation control for surface emitting lasers. Electron. Lett 1991, 27:1067-1069.
209. Simpson T B, Doft F, Golding W M 2003 Using laser diode instabilities for chip-scale stable frequency references. Precise Time and Time Interval (PTTI) Meeting San Diego, CA, USA.
210. Snadden M.J., Mcguirk J.M., Bouyer P., Haritos K.G., Kasevich M.A. Measurement of the earth's gravity gradient with an atom interferometer-based gravity gradiometer. Phys. Rev. Lett 1998, 81:971-974.
211. Stähler M., Wynands R., Knappe S., Kitching J., Hollberg L., Taichenachev A., Yudin V. Coherent population trapping resonances in thermal Rb-85 vapor: D-1 versus D-2 line excitation. Opt. Lett 2002, 27:1472-1474.
212. Steck D. A cesium D line data http://steck.us/alkalidata.
213. Steck D. A Rubidium 87 D line data http://steck.us/alkalidata.
214. Stratton F.P., Chang D.T., Kirby D.J., Joyce R.J., Tsung-Yuan H., Kubena R.L., Yook-Kong Y. A MEMS-based quartz resonator technology for GHz applications. Proceedings of the 2004 IEEE International Frequency Control Symposium and Exposition 2004, 27-34.
215. Strekalov D., Matsko A.B., Yu N., Savchenkov A., Maleki L. Application of vertical cavity surface emitting lasers in self-oscillating atomic clocks. J. Mod. Opt 2006, 53:2469-2484.
216. Sturza M.A. GPS navigation using three satellites and a precise clock. Global Positioning System 1984, Institute of Navigation, Washington, DC.
217. Suzuki K., Abe Y., Ishihara N., Kudoh H., Fukugawa S. Small-sized Rubidium oscillator. IEEE International Frequency Control Symposium 1998, 73-79.
218. Taichenachev A.V., Yudin V.I., Velichansky V.L., Kargapoltsev S.V., Wynands R., Kitching J., Hollberg L. High-contrast dark resonances on the D1 line of alkali metals in the field of counterpropagating waves. JETP Lett 2004, 80:236-240.
219. Taichenachev A.V., Yudin V.I., Velichansky V.L., Zibrov S.A. On the unique possibility of significantly increasing the contrast of dark resonances on the D1 line of 87Rb. JETP Lett 2005, 82:398-403.
220. Tench R.E., Peuse B.W., Hemmer P.R., Thomas J.E., Ezekiel S., Leiby C.C., Picard R.H., Willis C.R. 2 Laser raman difference technique applied to high-precision spectroscopy. J. de Phys 1981, 42:45-51.
221. Thomas J.E., Hemmer P.R., Ezekiel S., Leiby C.C., Picard R.H., Willis C.R. Observation of Ramsey fringes using a stimulated, resonance raman transition in a sodium atomic beam. Phys. Rev. Lett 1982, 48:867-870.
222. Townes C.H. Atomic clocks and frequency stabilization on microwave spectral lines. J. Appl. Phys 1951, 22:1365-1372.
223. Vanier J. Atomic frequency standard. US PTO 2001, 6320472.
224. Vanier J. Atomic clocks based on coherent population trapping: a review. Appl. Phys. B Lasers Opt 2005, 81:421-442.
225. Vanier J., Audoin C. The Quantum Physics of Atomic Frequency Standards 1989, Adam Hilger, Bristol.
226. Vanier J., Audoin C. The Quantum Physics of Atomic Frequency Standards 1992, Adam Hilger, Bristol.
227. Vanier J., Kunski R., Cyr N., Savard J.Y., Têtu M. On hyperfine frequency-shifts caused by buffer gases - Application to the optically pumped passive rubidium frequency standard. J. Appl. Phys 1982, 53:5387-5391.
228. Vanier J., Godone A., Levi F. Coherent population trapping in cesium: Dark lines and coherent microwave emission. Phys. Rev. A 1998, 58:2345-2358.
229. Vanier J., Godone A., Levi F. Coherent microwave emission in coherent population trapping: Origin of the energy and of the quadratic light shift. Proceedings of the Annual IEEE International Frequency Control Symposium 1999, 96-99.
230. Vanier J., Godone A., Levi F., Micalizio S. Atomic clocks based on coherent population trapping: Basic theoretical models and frequency stability. Proceedings of the Annual IEEE International Frequency Control Symposium 2003, 2-15.
231. Vanier J., Levine M.W., Janssen D., Delaney M. Contrast and linewidth of the coherent population trapping transmission hyperfine resonance line in Rb-87: Effect of optical pumping. Phys. Rev. A 2003, 67:065801.
232. Vanier J., Levine M.W., Janssen D., Delaney M.J. The coherent population trapping passive frequency standard [Rb example]. IEEE Trans. Instrum. Meas 2003, 52:258-262.
233. Vanier J., Levine M.W., Janssen D., Delaney M.J. On the use of intensity optical pumping and coherent population trapping techniques in the implementation of atomic frequency standards. IEEE Trans. Instrum. Meas 2003, 52:822-831.
234. Vanier J., Levine M., Kendig S., Janssen D., Everson C., Delany M. Practical realization of a passive coherent population trapping frequency standard. IEEE International Frequency Control Symposium 2004, 92-99.
235. Vanier J., Levine M.W., Kendig S., Janssen D., Everson C., Delaney M.J. Practical realization of a passive coherent population trapping frequency standard. IEEE Trans. Instrum. Meas 2005, 54:2531-2539.
236. Vestergaard Hau L., Harris S.E., Dutton Z., Behroozi C.H. Light speed reduction to 17 metres per second in an ultracold atomic gas. Nature 1999, 397:594-598.
237. Vig J R Introduction to quartz frequency standard, SLCET-TR-92-1, http://www.ieee-uffc.org/freqcontrol/quartz/vig/vigtoc.htm.
238. Vig J.R. Military applications of high accuracy frequency standards and clocks. IEEE Trans. UFFC 1993, 40:522-527.
239. Vig J.R., Yoonkee K. Noise in microelectromechanical system resonators. IEEE Trans. UFFC 1999, 46:1558-1565.
240. Vukicević N., Zibrov A.S., Hollberg L., Walls F.L., Kitching J., Robinson H.G. Compact diode-laser based rubidium frequency reference. IEEE Trans. UFFC 2000, 47:1122-1126.
241. Walker T.G., Happer W. Spin-exchange optical pumping of noble-gas nuclei. Rev. Mod. Phys 1997, 69:629-642.
242. Wallis G., Pomerantz D. Field assisted glass-metal sealing. J. Appl. Phys 1969, 40:3946-3949.
243. Walls D.F., Zoller P. Coherent nonlinear mechanism for optical bistability from three level atoms. Opt. Commun 1980, 34:260-264.
244. Waltman S. Frequency divider for a chip-scale atomic clock, Unpublished 2006.
245. Wang J., Butler J.E., Hsu D.S.Y., Nguyen T.C. CVD polycrystalline diamond high-Q micromechanical resonators. The 15th IEEE International Conference on Micro Electro Mechanical Systems 2002, 657-660.
246. Wang Y.-J., Eardley M., Knappe S., Moreland J., Hollberg L., Kitching J. Magnetic resonance in an atomic vapor excited by a mechanical resonator. Phys. Rev. Lett 2006, 97:227602.
247. White C.J., Hajimiri A.H. A solid-state atomic frequency standard. Proceedings of the 2005 IEEE International Frequency Control Symposium and Exposition 2005, 940-946.
248. Whitley R.M., Stroud C.R. Double optical resonance. Phys. Rev. A 1976, 14:1498-1513.
249. Wynands R., Nagel A. Precision spectroscopy with coherent dark states. Appl. Phys. B Lasers Opt 1999, 68:1-25.
250. Yang G.M., Macdougal M.H., Dapkus P.D. Ultralow threshold current vertical-cavity surface-emitting lasers obtained with selective oxidation. Electron. Lett 1995, 31:886-888.
251. Yao X.S., Maleki L. Optoelectronic oscillator for photonic systems. IEEE J. Quantum Electron 1996, 32:1141-1149.
252. Youngner D.W., Detry J.F., Zook J.D. MEMS frequency standard for devices such as atomic clocks. US PTO 2005, 6900702 B2.
253. Zanon T., Guerandel S., De Clercq E., Holleville D., Dimarcq N., Clairon A. High contrast Ramsey fringes with coherent-population-trapping pulses in a double lambda atomic system. Phys. Rev. Lett 2005, 94:193002.
254. Zhang H., Kim J., Pang W., Yu H., Kim E.S. 5GHz low-phase-noise oscillator based on FBAR with low TCF. 13th Int. Conf. Solid-State Sensors, Actuators and Microsystems, Dig. Tech. Pap. (Transducers '05) 2005, 1100-1101.
255. Zhu M. High contrast signal in a coherent population trapping based atomic frequency standard application. IEEE International Frequency Control Symposium and PDA Exhibition Jointly with the 17th European Frequency and Time Forum 2003, 16-21.
256. Zhu M. Study of CPT in a vapor cell with optical phase locked diode lasers. Proceedings of the John Hall Symposium 2004, 156-158.
257. Zhu M., Cutler L.S. Theoretical and experimental study of light shift in a CPT-based Rb vapor cell frequency standard. 32nd Annual Precise Time and Time Interval (PTTI) Meeting 2000, 311-324.
258. Zhu M., Cutler L.S. Coherent population trapping-based frequency standard having a reduced magnitude of total a.c. stark shift. US PTO 2001, 6 201 821.
259. Zibrov S., Novikova I., Phillips D.F., Taichenachev A.V., Yudin V.I., Walsworth R.L., Zibrov A.S. Three-photon-absorption resonance for all-optical atomic clocks. Phys. Rev. A 2005, 72:011801.