Frequency-domain detection of superluminal group velocity in a distributed Bragg reflector

IEEE Journal of Quantum Electronics

Volumn 36, Issue 4, 2000, Pages 418-424

  Mojahedi, Mohammad ^a   Schamiloglu, Edl ^a   Agi, Kamil ^a   Malloy, Kevin J ^a  

^a University of New Mexico   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; LIGHT PROPAGATION; LIGHT TRANSMISSION; MATHEMATICAL MODELS; MATRIX ALGEBRA; VACUUM;

DISTRIBUTED BRAGG REFLECTOR (DBR); SUPERLUMINAL GROUP VELOCITY;

MIRRORS;

EID: 0033891906     PISSN: 00189197     EISSN: None     Source Type: Journal    
DOI: 10.1109/3.831016     Document Type: Article

References (46)

1. E. H. Hauge and J. A. Stovneng, "Tunneling times: A critical-review," Rev. Mod. Phys., vol. 61, pp. 917-936, 1989.
2. L. A. MacDoll, "Note on the transmission and reflection of wave packets by potential barriers," Phys. Rev., vol. 40, pp. 621-626, 1932.
3. E. P. Wigner, "Lower limit for the energy derivative of the scattering phase shift," Phys. Rev., vol. 98, pp. 145-147, 1955.
4. T. E. Hartman, "Tunneling of a wave packet," J. App. Phys., vol. 33, pp. 3427-3433, 1962.
5. R. Y. Chiao and A. M. Steinberg, "Tunneling times and superluminality," Prog. Opt., vol. 37, pp. 345-405, 1997.
6. T. Martin and R. Landauer, "Time-delay of evanescent electromagnetic-waves and the analogy to particle tunneling," Phys. Rev. A, vol. 45, pp. 2611-2617, 1992.
7. R. Y. Chiao, P. G. Kwiat, and A. M. Steinberg, "Analogies between electron and photon tunneling: A proposed experiment to measure photon tunneling times," Physica B, vol. 175, pp. 257-262, 1991.
8. T. K. Gaylord, G. N. Henderson, and E. N. Glytsis, "Application of electromagnetics formalism to quantum-mechanical electron-wave propagation in semiconductors," J. Opt. Soc. Amer. B, vol. 10, pp. 333-339, 1993.
9. D. I. Babic and S. W. Corzine, "Analytic expressions for the reflection delay; penetration depth; and absorptance of quarter-wave dielectric mirrors," IEEE J. Quantum Electron., vol. 28, pp. 514-524, 1992.
10. J. A. Lott, R. P. Schneider, K. J. Malloy, S. P. Kilcoyne, and K. D. Choquette, "Partial top dielectric stack distributed bragg reflectors for red vertical-cavity surface-emitting laser arrays," IEEE Photon. Technol. Lett., vol. 6, pp. 1397-1399, 1994.
11. R. H. Yan, R. J. Simes, and L. A. Coldren, "Analysis and design of surface-normal fabry-perot electrooptic modulators," IEEE J. Quantum Electron., vol. 25, pp. 2272-2280, 1989.
12. F. Koyama, Y. Suematsu, S. Arai, and T. E. Tawee, "1.5-1.6-Mu-M Gal-nasp/Inp dynamic-single-mode (Dsm) lasers with distributed bragg reflector," IEEE J. Quantum Electron., vol. QE-19, pp. 1042-1051, 1983.
13. A. Yariv, "Coupled-mode theory for guided-wave optics," IEEE J. Quantum Electron., vol. QE-9, pp. 919-933, 1973.
14. N. Matuschek, F. X. Kartner, and U. Keller, "Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics," IEEE J. Quantum Electron., vol. 35, pp. 129-137, 1999.
15. A. M. Steinberg, P. G. Kwiat, and R. Y. Chiao, "Measurement of the single-photon tunneling time," Phys. Rev. Lett., vol. 71, pp. 708-711. 1993.
16. C. Spielmann, R. Szipocs, A. Stingl, and F. Krausz, "Tunneling of optical pulses through photonic band-gaps," Phys. Rev. Lett., vol. 73, pp. 2308-2311, 1994.
17. A. Ranfagni, D. Mugnai, P. Fabeni, and F. Krausz, "Delay-time measurements in narrowed wave-guides as a test of tunneling," Appl. Phys. Lett., vol. 58, pp. 774-776, 1991.
18. A. Ranfagni, P. Fabeni, G. P. Pazzi, and D. Mugnai, "Anomalous pulse delay in microwave propagation: A plausible connection to the tunneling time," Phys. Rev. E, vol. 48, pp. 1453-1460, 1993.
19. D. Mugnai, A. Ranfagni, and L. Ronchi, "The question of tunneling time duration: A new experimental test at microwave scale," Phys. Lett. A, vol. 247, pp. 281-286, 1998.
20. A. Enders and G. Nimtz, "Photonic-tunneling experiments," Phys. Rev. B, vol. 47, pp. 9605-9609, 1993.
21. _, "On superluminal barrier traversal," J. Phys. I France, vol. 2, pp. 1693-16988, 1992.
22. _, "Evanescent-mode propagation and quantum tunneling," Phys. Rev. E, vol. 48, pp. 632-634, 1993.
23. _, "Zero-time tunneling of evanescent mode packets," J. Phys. I France, vol. 3, pp. 1089-1092, 1993.
24. G. Nimtz, A. Enders, and H. Spieker, "Photonic tunneling times," J. Phys. I France, vol. 4, pp. 565-570, 1994.
25. G. Nimtz and W. Heitmann, "Superluminal photohnic tunneling and quantum-electronics," Prog. Quantum Electron., vol. 21, pp. 81-108, 1997.
26. M. Mojahedi, "Superluminal group velocities and structural dispersion," Dissertation in EECE, University of New Mexico, 1999.
27. D. J. Kane, "Recent progress toward real-time measurement of ultrashort laser pulses," IEEE J. Quantum Electron., vol. 35, pp. 421-431, 1999.
28. R. Trebino and D. J. Kane, "The dilemma of ultrashort-laser-pulse intensity and phase measurement and applications," IEEE J. Quantum Electron., vol. 35, pp. 418-420, 1999.
29. M. V. Klein and T. E. Furtak, Optics, 2nd ed. New York: Wiley, 1986.
30. M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 4th ed. New York, NY: Pergamon Press, 1970.
31. J. P. Dowling, "Parity; time-reversal and group delay for inhomogeneous dielectric slabs: Application to pulse propagation in finite; one-dimensional; photonic bandgap structures," Proc. Inst. Elect. Eng., pt. J, vol. 145, pp. 420-435, 1998.
32. G. Strang, Linear Algebra and Its Applications, 3rd ed. Orlando, FL: Harcourt Brace Jovanovich, 1988.
33. A. Papoulis, The Fourier Integral and Its Applications. New York, NY: McGraw-Hill, 1962.
34. L. Brillouin, Wave Propagation and Group Velocity. New York, NY: Academic, 1960.
35. Hewlett Packard, HP 8719D/8720D/8722D network analyzer, in User's Guide 08 720-90 288, 1997.
36. Hewlett Packard, Applying the HP 8510 TRL calibration for noncoaxial measurements, in Product Note 8510-8A, 1992.
37. Hewlett Packard, Measuring dielectric constant with the HP 8510 network analyzer, in Product Note 8510-3, 1985.
38. L. Brillouin, Wave Propagation in Periodic Structures: Electric Filters and Crystal Lattices, 1st ed. New York, NY, London: McGraw-Hill, 1946.
39. J. D. Jackson, Classical Electrodynamics, 2nd ed. New York, NY: Wiley, 1975.
40. S. Chu and S. Wong, "Linear pulse-propagation in an absorbing medium," Phys. Rev. Lett., vol. 48, pp. 738-741, 1982.
41. J. D. Jackson, Classical Electrodynamics, 3rd ed. New York, NY: Wiley, 1998.
42. M. D. Crisp, "Concept of group velocity in resonant propagation," Phys. Rev. A, vol. 4, pp. 2104-2108, 1971.
43. E. L. Bolda, R. Y. Chiao, and J. C. Garrison, "Two theoremd for the group velocity in dispersive media," Phys. Rev. A, vol. 48, pp. 3890-3894, 1993.
44. G. Diener, "Superluminal group velocities and information-transfer," Phys. Lett. A, vol. 223, pp. 327-331, 1996.
45. R. Y. Chiao, J. Boyce, and M. W. Mitchell, "Superluminality and parelectricity: The ammonia maser revisited," Appl. Phys. B, vol. 60, pp. 259-265, 1995.
46. M. Scalora, J. P. Dowling, A. S. Manka, C. M. Bowden, and J. W. Haus, "Pulse-propagation near highly reflective surfaces: Applications to photonic hand-gap structures and the question of superluminal tunneling times," Phys. Rev. A, vol. 52, pp. 726-734, 1995.