Beam engineering of quantum cascade lasers

Laser and Photonics Reviews

Volumn 6, Issue 1, 2012, Pages 24-46

  Yu, N ^a   Wang, Q ^b   Capasso, F ^a  

^a HARVARD UNIVERSITY   (United States)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Beam engineering; Collimation; Laser resonator; Metasurface; Microcavity laser; Mid infrared and terahertz quantum cascade laser; Plasmonics; Whispering gallery modes

Indexed keywords

COLLIMATION; METASURFACE; MICROCAVITY LASER; MIDINFRARED; PLASMONICS; WHISPERING GALLERY MODES;

INFRARED DEVICES; LASER RESONATORS; MICROCAVITIES; PLASMONS; QUANTUM CASCADE LASERS; SURFACE WAVES;

INFRARED LASERS;

EID: 84155185264     PISSN: 18638880     EISSN: 18638899     Source Type: Journal    
DOI: 10.1002/lpor.201100019     Document Type: Review

References (137)

1. C. Gmachl, F. Capasso, D.L. Sivco, and A.Y. Cho, Rep. Prog. Phys. 64, 1533-1601(2001).
2. A.E. Siegman, Proc. SPIE 1868, 2-12 (1993).
3. J.F. Nye and M.V. Berry, Proc. R. Soc. Lond. A. 336, 165-190 (1974).
4. M. Padgett, J. Courtial, and L. Allen, Phys. Today 57, 35-40 (2004).
5. C.G.B. Garrett, W. Kaiser, and W.L. Bond, Phys. Rev. 124, 1807-1809 (1961).
6. S.-X. Qian, J.B. Snow, H.-M. Tzeng, and R.K. Chang, Science 231, 486-488 (1986).
7. S.L. McCall, A.F.J. Levi, R.E. Slusher, S.J. Pearton, and R.A. Logan, Appl. Phys. Lett. 60, 289-291 (1992).
8. V.S. Ilchenko, A.A. Savchenkov, A.B. Matsko, and L. Maleki, Phys. Rev. Lett. 86, 3168-3171 (2001).
9. A. Chiasera, Y. Dumeige, P. Féron, M. Ferrari, Y. Jestin, G. Nunzi Conti, S. Pelli, S. Soria, and G.C. Righini, Laser Photonics Rev. 4, 457-482 (2009).
10. A. Yariv and P. Yeh, Photonics: Optical Electronics in Modern Communications, 6th ed. (Oxford University Press, Oxford, 2007), Chap. 12, pp. 586-587; Chap. 16, pp. 719-720.
11. D. Hofstetter, J. Faist, M. Beck, and U. Oesterle, Appl. Phys. Lett. 75, 3769-3771 (1999).
12. W. Schrenk, N. Finger, S. Gianordoli, L. Hvozdara, G. Strasser, and E. Gornik, Appl. Phys. Lett. 77, 2086-2088 (2000).
13. D. Hofstetter, J. Faist, M. Beck, A. Müller, and U. Oesterle, Physica E 7, 25-28 (2000).
14. C. Pflügl, M. Austerer, W. Schrenk, S. Golka, G. Strasser, R.P. Green, L.R. Wilson, J.W. Cockburn, A.B. Krysa, and J.S. Roberts, Appl. Phys. Lett. 86, 211101 (2005).
15. J.A. Fan, M.A. Belkin, and F. Capasso, Opt. Express 14, 11672-11680 (2006).
16. S. Kumar, B.S. Williams, Q. Qin, A.W.M. Lee, and Q. Hu, Opt. Express 15, 114-128 (2007).
17. E. Mujagić, L.K. Hoffmann, S. Schartner, M. Nobile, W. Schrenk, M.P. Semtsiv, M. Wienold, W.T. Masselink, and G. Strasser, Appl. Phys. Lett. 93, 161101 (2008).
18. E. Mujagić, C. Schwarzer, W. Schrenk, Y. Yao, J. Chen, C. Gmachl, and G. Strasser, Opt. Eng. 49, 111113 (2010).
19. L. Mahler, A. Tredicucci, F. Beltram, C. Walther, J. Faist, B. Witzigmann, H.E. Beere, and D.A. Ritchie, Nature Photon. 3, 46-49 (2009).
20. I. Vurgaftman and J.R. Meyer, IEEE J. Quantum Electron. 38, 592-602 (2002).
21. R. Colombelli, K. Srinivasan, M. Troccoli, O. Painter, C.F. Gmachl, D.M. Tennant, A.M. Sergent, D.L. Sivco, A.Y. Cho, and F. Capasso, Science 302, 1374-1377 (2003).
22. Y. Chassagneux, R. Colombelli, W. Maineult, S. Barbieri, H.E. Beere, D.A. Ritchie, S.P. Khanna, E.H. Linfield, and A.G. Davies, Nature 457, 174-178 (2009).
23. Y. Chassagneux, R. Colombelli, W. Maineult, S. Barbieri, S.P. Khanna, E.H. Linfield, and A.G. Davies, Appl. Phys. Lett. 96, 031104 (2010).
24. Q.-Y. Lu, W.-H. Guo, W. Zhang, L.-J. Wang, J.-Q. Liu, L. Li, F.-Q. Liu, and Z.-G. Wang, Appl. Phys. Lett. 96, 051112 (2010).
25. M.I. Amanti, M. Fischer, G. Scalari, M. Beck, and J. Faist, Nature Photon. 3, 586-590 (2009).
26. J.U. Nöckel and A.D. Stone, Nature 385, 45-47 (1997).
27. C. Gmachl, F. Capasso, E.E. Narimanov, J.U. Nöckel, A.D. Stone, J. Faist, D.L. Sivco, and A.Y. Cho, Science 280, 1556-1564 (1998).
28. G.D. Chern, H.E. Tureci, A.D. Stone, R.K. Chang, M. Kneissl, and N.M. Johnson, Appl. Phys. Lett. 83, 1710-1712 (2003).
29. R. Audet, M.A. Belkin, J.A. Fan, B.G. Lee, K. Lin, F. Capasso, E.E. Narimanov, D. Bour, S. Corzine, J. Zhu, and G. Höfler, Appl. Phys. Lett. 91, 131106 (2007).
30. M. Hentschel, T.-Y. Kwon, M.A. Belkin, R. Audet, and F. Capasso, Opt. Express 17, 10335-10343(2009).
31. M. Hentschel, Q.J. Wang, C. Yan, F. Capasso, T. Edamura, and H. Kan, Opt. Express 18, 16437-16442 (2010).
32. J.U. Nöckel, A.D. Stone, and R.K. Chang, Opt. Lett. 19, 1693-1695 (1994).
33. R.G. Kouyoumjian, Proc. IEEE 53, 864-876 (1965).
34. D.A. Hill, Electromagnetic Fields in Cavities: Deterministic and Statistical Theories (John Wiley & Sons, Inc., New Jersey, 2009), pp. 243.
35. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University Press, Cambridge, UK, 1999), Chap. 3, pp. 119.
36. V.A. Borovikov and B.Y. Kinber, Geometrical Theory of Diffraction (The Institution of Electrical Engineers, London, UK, 1994), Chap. 3, pp. 30.
37. P.W. Anderson, Phys. Rev. 109, 1492-1505 (1958).
38. D.S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, Nature 390, 671-673 (1997).
39. H. Cao, Lasing in Disordered Media, in: Progress in Optics, Vol. 45, edited by E. Wolf (Elsevier, Amsterdam, 2003), pp. 317-370.
40. N. Yu, J. Fan, Q.J. Wang, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, Nature Photon. 2, 564-570 (2008).
41. N. Yu, R. Blanchard, J. Fan, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, Appl. Phys. Lett. 93, 181101 (2008).
42. N. Yu, R. Blanchard, J. Fan, Q.J. Wang, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, Opt. Express 16, 19447-19461 (2008).
43. N. Yu, Q.J. Wang, M.A. Kats, J.A. Fan, S.P. Khanna, L. Li, A.G. Davies, E.H. Linfield, and F. Capasso, Nature Mater. 9, 730-735 (2010).
44. N. Yu, Q.J. Wang, C. Pflügl, L. Diehl, F. Capasso, T. Edamura, S. Furuta, M. Yamanishi, and H. Kan, Appl. Phys. Lett. 94, 151101 (2009).
45. N. Yu, M.A. Kats, C. Pflügl, M. Geiser, Q.J. Wang, M.A. Belkin, F. Capasso, M. Fischer, A. Wittmann, J. Faist, T. Edamura, S. Furuta, M. Yamanishi, and H. Kan, Appl. Phys. Lett. 95, 161108 (2009).
46. C. Yan, Q.J. Wang, L. Diehl, M. Hentschel, J. Wiersig, N. Yu, C. Pflügl, F. Capasso, M.A. Belkin, T. Edamura, M. Yamanishi, and H. Kan, Appl. Phys. Lett. 94, 251101 (2009).
47. Q.J. Wang, C. Yan, L. Diehl, M. Hentschel, J. Wiersig, N. Yu, C. Pflügl, M.A. Belkin, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, New J. Phys. 11, 125018 (2009).
48. Q.J. Wang, C. Yan, N. Yu, J. Unterhinninghofen, J. Wiersig, C. Pflügl, L. Diehla, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, Proc. Natl. Acad. Sci. USA 107, 22407-22412 (2010).
49. J. Faist, F. Capasso, D.L. Sivco, A.L. Hutchinson, and A.Y. Cho, Science 264, 553-556 (1994).
50. C. Sirtori, F. Capasso, J. Faist, A.L. Hutchinson, D.L. Sivco, and A.Y. Cho, IEEE J. Quantum Electron. 34, 1722-1729 (1998).
51. M. Razeghi, IEEE J. Sel. Top. Quantum Electron. 15, 941-951 (2009).
52. M. Razeghi, Proc. SPIE 7230, 723011 (2009).
53. A. Lyakh, R. Maulini, A. Tsekoun, R. Go, C. Pflügl, L. Diehl, Q.J. Wang, F. Capasso, and C.K.N. Patel, Appl. Phys. Lett. 95, 141113 (2009).
54. R. Maulini, A. Lyakh, A. Tsekoun, R. Go, C. Pflügl, L. Diehl, F. Capasso, and C.K.N. Patel, Appl. Phys. Lett. 95, 151112 (2009).
55. D. Hofstetter, M. Beck, T. Aellen, and J. Faist, Appl. Phys. Lett. 78, 396-398 (2001).
56. R. Köhler, A. Tredicucci, F. Beltram, H.E. Beere, E.H. Linfield, A.G. Davies, D.A. Ritchie, R.C. Iotti, and F. Rossi, Nature 417, 156-159 (2002).
57. S. Kumar, Q. Hu, and J.L. Reno, Appl. Phys. Lett. 94, 131105 (2009).
58. G. Scamarcio, M. Troccoli, F. Capasso, A.L. Hutchinson, D.L. Sivco, and A.Y. Cho, Electron. Lett. 37, 295-296 (2001).
59. M. Yamanishi, K. Fujita, T. Edamura, and H. Kan, Opt. Express 16, 20748-20758 (2008).
60. S. Kumar, C.W.I. Chan, Q. Hu, and J.L. Reno, Nature Phys. 7, 166-171 (2011).
61. H.A. Atwater, Sci. Am. 296, iss. 4, 56-63 (2007).
62. E. Ozbay, Science 311, 189-193 (2006).
63. S.A. Maier, Plasmonics: Fundamentals and Applications (Springer Science+Business Media LLC, New York, 2007), Chap. 5, pp. 65-88.
64. D.J. Barber and I.C. Freestone, Archeometry 32, 33-45 (1990).
65. G. Mie, Ann. Phys. (Leipzig) 330, 377-445 (1908).
66. P. Bharadwaj, B. Deutsch, and L. Novotny, Adv. Opt. Photon. 1, 438-483 (2009).
67. L. Novotny and N. van Hulst, Nature Photon. 5, 83-90 (2011).
68. E.A. Ash and G. Nicholls, Nature 237, 510-512 (1972).
69. E. Betzig, J.K. Trautman, T.D. Harris, J.S. Weiner, and R.L. Kostelak, Science 251, 1468-1470 (1991).
70. F. Zenhausern, M.P. O'Boyle, and H.K. Wickramasinghe, Appl. Phys. Lett. 65, 1623-1625 (1994).
71. S.M. Nie and S.R. Emery, Science 275, 1102-1106 (1997).
72. K. Kneipp, Y. Wang, H. Kneipp, L.T. Perelman, I. Itzkan, R.R. Dasari, and M.S. Feld, Phys. Rev. Lett. 78, 1667-1670 (1997).
73. B. Knoll and F. Keilmann, Nature 399, 134-137 (1999).
74. B. Rothenhäusler and W. Knoll, Nature 332, 615-617 (1988).
75. J.R. Krenn, A. Dereux, J.C. Weeber, E. Bourillot, Y. Lacroute, J.P. Goudonnet, G. Schider, W. Gotschy, A. Leitner, F.R. Aussenegg, and C. Girard, Phys. Rev. Lett. 82, 2590-2593 (1999).
76. M. Quinten, A. Leitner, J.R. Krenn, and F.R. Aussenegg, Opt. Lett. 23, 1331-1333 (1998).
77. T.W. Ebbesen, H.J. Lezec, H. Ghaemi, T. Thio, and P.A. Wolf, Nature 391, 667-669 (1998).
78. H.J. Lezec, A. Degiron, E. Devaux, R.A. Linke, L. Martín-Moreno, F.J. García-Vidal, and T.W. Ebbesen, Science 297, 820-822 (2002).
79. J.B. Pendry, L. Martín-Moreno, and F.J. García-Vidal, Science 305, 847-848 (2004).
80. F.J. García-Vidal, L. Martín-Moreno, and J.B. Pendry, J. Opt. A: Pure Appl. Opt. 7, S97-S101 (2005).
81. J.B. Pendry, A.J. Holden, W.J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773-4776 (1996).
82. D.R. Smith, W.J. Padilla, D.C. Vier, S.C. Nemat-Nasser, and S. Schultz, Phys. Rev. Lett. 84, 4184-4187 (2000).
83. J.B. Pendry, Phys. Rev. Lett. 85, 3966-3969 (2000).
84. R.A. Shelby, D.R. Smith, and S. Schultz, Science 292, 77-79 (2001).
85. H.R. Stuart and D.G. Hall, Appl. Phys. Lett. 73, 3815-3817 (1998).
86. K.R. Catchpole and A. Polman, Opt. Express 16, 21793-12800 (2008).
87. A. Partovi, D. Peale, M. Wuttig, C.A. Murray, G. Zydzik, L. Hopkins, K. Baldwin, W.S. Hobson, J. Wynn, J. Lopata, L. Dhar, R. Chichester, and J.H.-J. Yeh, Appl. Phys. Lett. 75, 1515-1517 (1999).
88. X.L. Shi, L. Hesselink, and R.L. Thornton, Opt. Lett. 28, 1320-1322 (2003).
89. N. Yu, R. Blanchard, J. Fan, Q. Wang, C. Pflügl, L. Diehl, T. Edamura, S. Furuta, M. Yamanishi, H. Kan, and F. Capasso, IEEE Trans. Nanotechnol. 9, 11-29 (2010).
90. J. Zenneck, Ann. Phys. 23, 846-866 (1907).
91. J.P. Tetienne, R. Blanchard, N. Yu, P. Genevet, M.A. Kats, J.A. Fan, T. Edamura, S. Furuta, M. Yamanishi, H. Kan, and F. Capasso, New J. Phys. 13, 053057 (2001).
92. P. Lalanne and J.P. Hugonin, Nature Phys. 2, 551-556 (2006).
93. S.C. Kitson, W.L. Barnes, and J.R. Sambles, Phys. Rev. Lett. 77, 2670-2673 (1996).
94. R. Zia and M.L. Brongersma, Nature Nanotech. 2, 426-429 (2007).
95. J.A. Kong, Electromagnetic Wave Theory (EMW Publishing, Cambridge, USA, 2000), Chap. 4, pp. 510.
96. http://www.lumerical.com/.
97. H.C. Liu and F. Capasso, Intersubband Transitions in Quantum Wells: Physics and Device Applications I (Academic Press, San Diego, 2000), Chap. 1, pp. 8.
98. M.A. Ordal, L.L. Long, R.J. Bell, S.E. Bell, R.R. Bell, R.W. Alexander, Jr., and C.A. Ward, Appl. Opt. 22, 1099-1120 (1983).
99. P.R. West, S. Ishii, G.V. Naik, N.K. Emani, V.M. Shalaev, and A. Boltasseva, Laser Photonics Rev. 4, 795-808 (2010).
100. I. Hamberg and C.G. Granqvist, J. Appl. Phys. 60, R123-R159 (1986).
101. J. Gómez Rivas, M. Kuttge, H. Kurz, P. Haring Bolivar, and J.A. Sánchez-Gil, Appl. Phys. Lett. 88, 082106 (2006).
102. X. Wang, A.A. Belyanin, S.A. Crooker, D.M. Mittleman, and J. Kono, Nature Phys. 6, 126-130 (2010).
103. N. Marschall, B. Fischer, and H.J. Queisser, Phys. Rev. Lett. 27, 95-97 (1971).
104. G. Borstel and H.J. Falge, Surface Phonon-Polaritons, in: Electromagnetic Surface Modes, edited by A. D. Boardman (John Wiley & Sons, Chichester, 1982), Chap. 6, pp. 219-248.
105. V.V. Bryxin, D.N. Mirlin, and I.I. Reshina, Solid State Commun. 11, 695-699 (1972).
106. R.F. Wallis and J.J. Brion, Solid State Commun. 9, 2099-2103 (1971).
107. A. Mooradian and G.B. Wright, Phys. Rev. Lett. 16, 999-1001 (1966).
108. P. Perlin, J. Camassel, W. Knap, T. Taliercio, J.C. Chervin, T. Suski, I. Grzegory, and S. Porowski, Appl. Phys. Lett. 67, 2524-2526 (1995).
109. D.J. Lockwood, G. Yu, and N.L. Rowell, Solid State Commun. 136, 404-409 (2005).
110. G. Goubau, J. Appl. Phys. 21, 1119-1128 (1950).
111. W. Rotman, Proc. IRE 39, 952-959 (1951).
112. F.J. Zucker, Surface-Wave Antennas and Surface-Wave-Excited Arrays, in: Antenna Engineering Handbook, 2nd ed., edited by R. C. Johnson and H. Jasik (McGraw-Hill Book Company, New York, 1961), Chap. 12, pp. 12-7-8.
113. F.J. Zucker, Surface-Wave Antennas, in: Antenna Theory, part 2, edited by R. E. Collin and F. J. Zucker (McGraw-Hill Book Company, New York, 1969), Chap. 21, pp. 331-338.
114. I.V. Novikov and A.A. Maradudin, Phys. Rev. B 66, 035403 (2002).
115. D.K. Gramotnev and D.F.P. Pile, Appl. Phys. Lett. 85, 6323-6325 (2004).
116. S.I. Bozhevolnyi, V.S. Volkov, E. Devaux, J.-Y. Laluet, and T.W. Ebbesen, Nature 440, 508-511 (2006).
117. S.I. Bozhevolnyi, V.S. Volkov, E. Devaux, and T.W. Ebbesen, Phys. Rev. Lett. 95, 046802 (2005).
118. S.I. Bozhevolnyi, Opt. Express 14, 9467-9476 (2006).
119. S.I. Bozhevolnyi and J. Jung, Opt. Express 16, 2676-2684 (2008).
120. J. Wiersig and M. Hentschel, Phys. Rev. Lett. 100, 033901 (2008).
121. J. Wiersig, J. Opt. A, Pure Appl. Opt. 5, 53-60 (2003).
122. C. Gmachl, J. Faist, F. Capasso, C. Sirtori, D.L. Sivco, and A.Y. Cho, IEEE J. Quantum Electron. 33 1567-73 (1997).
123. S. Gianordoli, L. Hvozdara, G. Strasser, W. Schrenk, J. Faist, and E. Gornik, IEEE J. Quantum Electron. 36 458-64 (2000).
124. S.-B. Lee, J. Yang, S. Moon, J.-H. Lee, K. An, J.-B. Shim, H.-W. Lee, and S.W. Kim, Phys. Rev. A 75, 011802(R) (2007).
125. R.K. Luneburg, Mathematical Theory of Optics (University of California Press, Berkeley, 1964), Chap. 3, p. 132.
126. A. Babuty, A. Bousseksou, J.-P. Tetienne, I. Moldovan-Doyen, C. Sirtori, G. Beaudoin, I. Sagnes, Y. De Wilde, and R. Colombelli, Phys. Rev. Lett. 104, 226806 (2010).
127. J.-P. Tetienne, A. Bousseksou, D. Costantini, R. Colombelli, A. Babuty, I. Moldovan-Doyen, Y. De Wilde, C. Sirtori, G. Beaudoin, L. Largeau, O. Mauguin, and I. Sagnes, Appl. Phys. Lett. 97, 211110 (2010).
128. S.Y. Chou, P.R. Krauss, and P.J. Renstrom, Science 272, 85-87 (1996).
129. Q. Xu, R.M. Rioux, M.D. Dickey, and G.M. Whitesides, Nano Lett. 41, 1566 (2008).
130. Y. Xia and G.M. Whitesides, Angew. Chem. Int. Ed. 37, 550-575 (1998).
131. D.J. Lipomi, M.A. Kats, P. Kim, S.H. Kang, J. Aizenberg, F. Capasso, and G.M. Whitesides, ACS Nano 4, 4017-4026 (2010).
132. E.J. Smythe, M.D. Dickey, G.M. Whitesides, and F. Capasso, ACS Nano 3, 59-65 (2009).
133. E. Cubukcu, N. Yu, E.J. Smythe, L. Diehl, K.B. Crozier, and F. Capasso, IEEE J. Sel. Top. Quantum Electron. 14, 1448-1461 (2008).
134. N. Yu, E. Cubukcu, L. Diehl, D. Bour, S. Corzine, J. Zhu, G. Höfler, K.B. Crozier, and F. Capasso, Opt. Express 15, 13272-13281 (2007).
135. M.A. Belkin, M. Lončar, B.G. Lee, C. Pflügl, R. Audet, L. Diehl, F. Capasso, D. Bour, S. Corzine, and G. Höfler, Opt. Express 15, 11262-11271 (2007).
136. L. Mahler, A. Tredicucci, F. Beltram, C. Walther, J. Faist, H.E. Beere, D.A. Ritchie, and D.S. Wiersma, Nature Photon. 4, 165-169 (2010).
137. J.-K. Yang, S.V. Boriskina, H. Noh, M.J. Rooks, G.S. Solomon, L. Dal Negro, and H. Cao, Appl. Phys. Lett. 97, 223101 (2010).