Two-dimensional microcavity lasers

Laser and Photonics Reviews

Volumn 5, Issue 2, 2011, Pages 247-271

  Harayama, T ^a   Shinohara, S ^b  

^a Nippon Telegraph and Telephone Corporation   (Japan)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC MODES; CHAOTIC PROPERTIES; DIRECTIONAL EMISSION; EMISSION PATTERN; ETCHING TECHNIQUE; FUNDAMENTAL PHYSICS; FUNDAMENTAL RESEARCH; HIGH-POWER; HIGH-PRECISION; INTEGRATED OPTICAL CIRCUIT; LASER LIGHTS; LASING CHARACTERISTICS; LASING MEDIUM; LIGHT CONFINEMENTS; MICROCAVITY LASER; NON-LINEAR DYNAMICS; PROCESSING TECHNOLOGIES; QUANTUM CHAOS; QUANTUM WELL STRUCTURES; THEORETICAL APPROACH; WAVE CHAOS;

CHAOS THEORY; LIGHT SOURCES; MICROCAVITIES; OPTICAL COMMUNICATION; QUANTUM THEORY; SEMICONDUCTOR DEVICE STRUCTURES; SENSORS; TWO DIMENSIONAL;

QUANTUM WELL LASERS;

EID: 79551673842     PISSN: 18638880     EISSN: 18638899     Source Type: Journal    
DOI: 10.1002/lpor.200900057     Document Type: Review

References (157)

1. Y. Yamamoto and R.E. Slusher, Phys. Today 46, 66 (1993).
2. R.K. Chang and A.K. Campillo (eds.), Optical Processes in Microcavities (World Scientific, Singapore, 1996).
3. K. Vahala (ed.), Optical Microcavities (World Scientific, Singapore, 2004).
4. L. Maleki (ed.), Microresonators, IEEE J. Sel. Top. Quantum Electron. 12(1), 1-155 (2006).
5. V.N. Astratov (ed.), Focus Issue: Physics and Applications of Microresonators, Opt. Express 15, 17171 (2007).
6. F. Haake, Quantum Signatures of Chaos (Springer, New York, 2000).
7. H.-J. Stöckmann, Quantum Chaos: An Introduction (Cambridge University Press, Cambridge, UK, 1999).
8. M.C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, New York, 1990).
9. K. Nakamura and T. Harayama, Quantum Chaos and Quantum Dots (Oxford University Press, Oxford, UK, 2004).
10. A.D. Stone, Phys. Today 58, 37 (2005).
11. J.U. Nöckel, A.D. Stone, and R.K. Chang, Opt. Lett. 19, 1693 (1994).
12. A. Mekis, J.U. Nöckel, G. Chen, A.D. Stone, and R.K. Chang, Phys. Rev. Lett. 75, 2682 (1995).
13. J.U. Nöckel, A.D. Stone, G. Chen, H.L. Grossman, and R.K. Chang, Opt. Lett. 21, 1609 (1996).
14. J.U. Nöckel and A.D. Stone, Nature 385, 45 (1997).
15. S.L. McCall, A.F.J. Levi, R.E. Slusher, S.J. Pearton, and R.A. Logan, Appl. Phys. Lett. 60, 289 (1992).
16. A.F.J. Levi, R.E. Slusher, S.L. McCall, S.J. Pearton, and W.S. Hobson, Appl. Phys. Lett. 62, 2021 (1993).
17. S.-X. Qian, J.B. Snow, H.-M. Tzeng, and R.K. Chang, Science 231, 486 (1986).
18. S.M. Spillane, T.J. Kippenberg, and K.J. Vahala, Nature 415, 621 (2002).
19. M. Kuwata-Gonokami and K. Takeda, Opt. Mater. 9, 12 (1998).
20. T. Harayama, P. Davis, and K.S. Ikeda, Phys. Rev. Lett. 82, 3803 (1999).
21. T. Baba and D. Sano, IEEE J. Sel. Top. Quantum Electron. 9, 1340 (2003).
22. A.I. Nosich, E.I. Smotrova, S.V. Boriskina, T.M. Benson, and P. Sewell, Opt. Quantum Electron. 39, 1253 (2007).
23. T. Fukushima, S.A. Biellak, Y. Sun, and A.E. Siegman, Opt. Express 2, 21 (1998).
24. A.E. Siegman, IEEE J. Sel. Top. Quantum Electron. 6, 1389 (2000).
25. 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 (1998).
26. N.B. Rex, H.E. Tureci, H.G.L. Schwefel, R.K. Chang, and A.D. Stone, Phys. Rev. Lett. 88, 094102 (2002).
27. M. Hentschel and K. Richter, Phys. Rev. E 66, 056207 (2002).
28. S.-B. Lee, J.-H. Lee, J.-S. Chang, H.-J. Moon, S.W. Kim, and K. An, Phys. Rev. Lett. 88, 033903 (2002).
29. T. Fukushima, T. Harayama, P. Davis, P.O. Vaccaro, T. Nishimura, and T. Aida, Opt. Lett. 27, 1430 (2002).
30. C. Gmachl, E.E. Narimanov, F. Capasso, J.N. Baillargeon, and A.Y. Cho, Opt. Lett. 27, 824 (2002).
31. G.D. Chern, H.E. Tureci, A.D. Stone, R.K. Chang, M. Kneissl, and N.M. Johnson, Appl. Phys. Lett. 83, 1710 (2003).
32. J. Wiersig, Phys. Rev. A 67, 023807 (2003).
33. M. Kneissl, M. Teepe, N. Miyashita, N.M. Johnson, G.D. Chern, and R.K. Chang, Appl. Phys. Lett. 84, 2485 (2004).
34. S.-Y. Lee, M.S. Kurdoglyan, S. Rim, and C.-M. Kim, Phys. Rev. A 70, 023809 (2004).
35. S.-Y. Lee, S. Rim, J.W. Ryu, T.Y. Kwon, M. Choi, and C.-M. Kim, Phys. Rev. Lett. 93, 164102 (2004).
36. S.-Y. Lee, J.-W. Ryu, T.-Y. Kwon, S. Rim, and C.-M. Kim, Phys. Rev. A 72, 061801(R) (2005).
37. T. Fukushima, T. Harayama, T. Miyasaka, and P.O. Vaccaro, J. Opt. Soc. Am. B 21, 935 (2004).
38. M.S. Kurdoglyan, S.-Y. Lee, S. Rim, and C.-M. Kim, Opt. Lett. 29, 2758 (2004).
39. Y. Baryshnikov, P. Heider, W. Parz, and V. Zharnitsky, Phys. Rev. Lett. 93, 133902 (2004).
40. T. Fukushima and T. Harayama, IEEE J. Sel. Top. Quantum Electron. 10, 1039 (2004).
41. T. Ben-Messaoud and J. Zyss, Appl. Phys. Lett. 86, 241110 (2005).
42. T. Fukushima, T. Tanaka, and T. Harayama, Appl. Phys. Lett. 86, 171103 (2005).
43. W. Fang, A. Yamilov, and H. Cao, Phys. Rev. A 72, 023815 (2005).
44. F. Courvoisier, V. Boutou, J.P. Wolf, R.K. Chang, and J. Zyss, Opt. Lett. 30, 738 (2005).
45. T. Fukushima, T. Tanaka, and T. Harayama, Appl. Phys. Lett. 87, 191103 (2005).
46. M. Choi, T. Tanaka, T. Fukushima, and T. Harayama, Appl. Phys. Lett. 88, 211110 (2006).
47. J. Wiersig and M. Hentschel, Phys. Rev. A 73, 031802R (2006).
48. M. Lebental, J.S. Lauret, R. Hierle, and J. Zyss, Appl. Phys. Lett. 88, 031108 (2006).
49. M. Lebental, J.S. Lauret, J. Zyss, C. Schmit, and E. Bogomolny, Phys. Rev. A 75, 033806 (2007).
50. J. Wiersig, Phys. Rev. Lett. 97, 253901 (2006).
51. 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.H. Fler, Appl. Phys. Lett. 91, 131106 (2007).
52. M. Lebental, N. Djellali, C. Arnaud, J.-S. Lauret, J. Zyss, R. Dubertrand, C. Schmit, and E. Bogomolny, Phys. Rev. A 76, 023830 (2007).
53. T. Tanaka, M. Hentschel, T. Fukushima, and T. Harayama, Phys. Rev. Lett. 98, 033902 (2007).
54. W. Fang, H. Cao, and G.S. Solomon, Appl. Phys. Lett. 90, 081108 (2007).
55. 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).
56. J.-B. Shim, S.-B. Lee, J. Yang, S. Moon, J.-H. Lee, K. An, H.-W. Lee, and S.W. Kim, J. Phys. Soc. Jpn. 76, 114005 (2007).
57. T. Fukushima, S. Shinohara, and T. Harayama, Opt. Express 15, 17392 (2007).
58. D.X. Qu, R. Cendejas, Z.J. Liu, C. Gmachl, and F. Towner, Appl. Phys. Lett. 93, 261116 (2008).
59. S.-Y. Lee, S. Rim, J.-W. Ryu, T.-Y. Kwon, M. Choi, and C.-M. Kim, J. Phys. A, Math. Theor. 41, 275102 (2008).
60. R. Dubertrand, E. Bogomolny, N. Djellali, M. Lebental, and C. Schmit, Phys. Rev. A 77, 013804 (2008).
61. M. Hentschel and T.-Y. Kwon, Opt. Lett. 34, 163 (2009).
62. E.G. Altmann, Phys. Rev. A 79, 013830 (2009).
63. M. Hentschel, T.-Y. Kwon, M. Belkin, R. Audet, and F. Capasso, Opt. Express 17, 10335 (2009).
64. A. Backer, R. Ketzmerick, S. Lock, J. Wiersig, and M. Hentschel, Phys. Rev. A 79, 063804 (2009).
65. 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).
66. J. Andreasen, H. Cao, J. Wiersig, and A.E. Motter, Phys. Rev. Lett. 103, 154101 (2009).
67. J. Wiersig and M. Hentschel, Phys. Rev. Lett. 100, 033901 (2008).
68. 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).
69. S. Shinohara, M. Hentschel, J. Wiersig, T. Sasaki, and T. Harayama, Phys. Rev. A 80, 031801(R) (2009).
70. Q. Song, W. Fang, B. Liu, S.-T. Ho, G.S. Solomon, and H. Cao, Phys. Rev. A 80, 041807(R) (2009).
71. C.-H. Yi, M.-W. Kim, and C.-M. Kim, Appl. Phys. Lett. 95, 141107 (2009).
72. T. Harayama, P. Davis, and K.S. Ikeda, Phys. Rev. Lett. 90, 063901 (2003).
73. T. Harayama, T. Fukushima, S. Sunada, and K.S. Ikeda, Phys. Rev. Lett. 91, 073903 (2003).
74. S. Sunada, T. Harayama, and K.S. Ikeda, Opt. Lett. 29, 718 (2004).
75. S. Shinohara, S. Sunada, T. Harayama, and K.S. Ikeda, Phys. Rev. E 71, 036203 (2005).
76. S. Sunada, T. Harayama, and K.S. Ikeda, Phys. Rev. E 74, 046209 (2005).
77. T. Harayama, S. Sunada, and K.S. Ikeda, Phys. Rev. A 72, 013803 (2005).
78. H.E. Türeci, A.D. Stone, and B. Collier, Phys. Rev. A 74, 043822 (2006).
79. S. Sunada, T. Harayama, and K.S. Ikeda, Nonlinear Phenom. Complex Syst. 10, 1 (2007).
80. H.E. Türeci, A.D. Stone, and L. Ge, Phys. Rev. A 76, 013813 (2007).
81. S. Sunada and T. Harayama, Opt. Express 15, 16245 (2007).
82. A.J. Lichitenberg and M.A. Lieberman, Regular and Chaotic Dynamics (Springer, New York, 1992).
83. H.G. Schuster, Deterministic Chaos (VCH, Weinheim, 1988).
84. L. Reichl, The Transition to Chaos (Springer, Berlin, 1992).
85. A.M. Ozorio de Almeida, Hamiltonian Systems: Chaos and Quantization (Cambridge University Press, Cambridge, UK, 1988).
86. Lord Kelvin, Philos. Mag. 6 2(7), 1 (1901).
87. Ya.G. Sinai, Russ. Math. Surv. 25, 137 (1970).
88. L.A. Bunimovich, Commun. Math. Phys. 65, 295 (1979).
89. G. Benettin and J.M. Strelcyn, Phys. Rev. A 17, 773 (1978).
90. G. Casati, G. Comparin, and I. Guarneri, Phys. Rev. A 26, 717 (1982).
91. F. Vivaldi, G. Casati, and I. Guarneri, Phys. Rev. Lett. 51, 727 (1983).
92. J. Machta and R. Zwanzig, Phys. Rev. Lett. 50, 1959 (1983).
93. J. Machta, J. Statist. Phys. 32, 555 (1983).
94. B. Friedman, Y. Oono, and I. Kubo, Phys. Rev. Lett. 52, 709 (1984).
95. J. Machta and S.M. Moore, Phys. Rev. A 32, 3164 (1985).
96. R. Brown, E. Ott, and C. Grebogi, Phys. Rev. Lett. 59, 1173 (1987).
97. S. Bleher, C. Grebogi, E. Ott, and R. Brown, Phys. Rev. A 38, 930 (1988).
98. K.C. Lee, Phys. Rev. Lett. 60, 1991 (1988).
99. P. Gaspard and G. Nicolis, Phys. Rev. Lett. 65, 1693 (1990).
100. S.W. McDonald and A.N. Kaufman, Phys. Rev. Lett. 42, 1189 (1979).
101. O. Bohigas, M.J. Giannoni, and C. Schmit, Phys. Rev. Lett. 52, 1 (1984).
102. M. Shapiro and G. Goelman, Phys. Rev. Lett. 53, 1714 (1984).
103. E.J. Heller, Phys. Rev. Lett. 53, 1515 (1984).
104. K.M. Christoffel and P. Brumer, Phys. Rev. A 33, 1309 (1986).
105. P.W. O'Connor and E.J. Heller, Phys. Rev. Lett. 61, 2288 (1988).
106. S.W. McDonald and A.N. Kaufman, Phys. Rev. A 37, 3067 (1988).
107. H.-J. Stöckmann and J. Stein, Phys. Rev. Lett. 64, 2215 (1990).
108. C.M. Marcus, A.J. Rimberg, R.M. Westervelt, P.F. Hopkins, and A.C. Gossard, Phys. Rev. Lett. 69, 506 (1992).
109. E.J. Heller, M.F. Crommie, C.P. Lutz, and D.M. Eigler, Nature 369, 464 (1994).
110. G.D. Birkhoff, Acta Math. 50, 359 (1927).
111. P. Gaspard, Chaos, Scattering and Statistical Mechanics (Cambridge University Press, Cambridge, UK, 1998).
112. R.G. Newton, Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966).
113. M.V. Berry, Les Houches LII, Chaos and Quantum Physics, edited by M.-J. Giannoni, A. Voros, and J. Zinn-Justin (North-Holland, Amsterdam, 1991), pp. 251-304.
114. J. Wiersig, J. Opt. A, Pure Appl. Opt. 5, 53 (2003).
115. H.E. Türeci, H.G.L. Schwefel, A.D. Stone, and E.E. Narimanov, Opt. Express 10, 752 (2002).
116. M. Choi, T. Fukushima, and T. Harayama, Phys. Rev. A 77, 063814 (2008).
117. H. Haken and H. Sauermann, Z. Phys. 173, 261 (1963).
118. H.G.L. Schwefel, N.B. Rex, H.E. Tureci, R.K. Chang, A.D. Stone, T. Ben-Messaoud, and J. Zyss, J. Opt. Soc. Am. B 21, 923 (2004).
119. S. Shinohara, T. Harayama, H. Türeci, and A.D. Stone, Phys. Rev. A 74, 033820 (2006).
120. S. Shinohara and T. Harayama, Phys. Rev. E 75, 036216 (2007).
121. S. Shinohara and T. Harayama, Phys. Rev. A 77, 033807 (2008).
122. M. Choi, S. Shinohara, and T. Harayama, Opt. Express 16, 17544 (2008).
123. E. Hecht, Optics (Addison-Wesley, 1987).
124. J.-W. Ryu, S.-Y. Lee, C.-M. Kim, and Y.-J. Park, Phys. Rev. E 73, 036207 (2006).
125. H. Schomerus and T. Tworzydlo, Phys. Rev. Lett. 93, 154102 (2003).
126. S. Nonnenmacher and M. Zworski, J. Phys. A 38, 10683 (2005).
127. H. Schomerus and Ph. Jacquod, J. Phys. A, Math. Gen. 38, 10663 (2005).
128. J.P. Keating, M. Novaes, S.D. Prado, and M. Sieber, Phys. Rev. Lett. 97, 150406 (2006).
129. S. Nonnenmacher and M. Rubin, Nonlinearity 20, 1387 (2007).
130. J.P. Keating, S. Nonnenmacher, M. Novaes, and M. Sieber, Nonlinearity 21, 2591 (2008).
131. D.L. Shepelyansky, Phys. Rev. E 77, 015202(R) (2008).
132. J. Wiersig and J. Main, Phys. Rev. E 77, 036205 (2008).
133. S. Nonnenmacher and E. Schenck, Phys. Rev. E 78, 045202(R) (2008).
134. G. Sagnac, C. R. Acad. Sci. Paris 157, 708 (1913).
135. G. Sagnac, C. R. Acad. Sci. Paris 157, 1410 (1913).
136. E. Landau and E. Lifshits, The Classical Theory of Fields, 2nd ed. (Addison-Wesley, Reading, MA, 1962).
137. E.J. Post, Rev. Mod. Phys. 39, 475 (1967).
138. F. Aronowitz, in: Laser Applications 1, edited by M. Ross (Academic, New York, 1971), pp. 133-200.
139. L.N. Menegozzi and W.E. Lamb, Phys. Rev. A 8, 2103 (1973).
140. W.W. Chow, J. Gea-Banacloche, L.M. Pedrotti, V.E. Sanders, W. Schleich, and M.O. Scully, Rev. Mod. Phys. 57, 61 (1985).
141. V. Vali and R.W. Shorthill, Appl. Opt. 15, 1099 (1976).
142. S. Ezekiel and S.R. Balsamo, Appl. Phys. Lett. 30, 478 (1977).
143. F. Zarinetchi, S.P. Smith, and S. Ezekiel, Opt. Lett. 16, 229 (1991).
144. S. Sunada and T. Harayama, Phys. Rev. A 74, 021801 (2006).
145. S. Sunada and T. Harayama, Opt. Express 15, 16245 (2007).
146. T. Harayama, S. Sunada, and T. Miyasaka, Phys. Rev. E 76, 016212 (2007).
147. S. Sunada, S. Tamura, K. Inagaki, and T. Harayama, Phys. Rev. A 73, 053822 (2008).
148. H.E. Tureci and A.D. Stone, Opt. Lett. 27, 7 (2002).
149. H. Schomerus and M. Hentschel, Phys. Rev. Lett. 96, 243903 (2006).
150. V.A. Podolskiy and E.E. Narimanov, Opt. Lett. 30, 474 (2005).
151. E.E. Narimanov and V.A. Podolskiy, IEEE J. Sel. Top. Quantum Electron. 12, 40 (2006).
152. S. Shinohara, T. Harayama, T. Fukushima, M. Hentschel, T. Sasaki, and E.E. Narimanov, Phys. Rev. Lett. 104, 163902 (2010).
153. V.A. Podolskiy, E. Narimanov, W. Fang, and H. Cao, Proc. Natl. Acad. Sci. USA 101, 10498 (2004).
154. J.P. Keating, M. Novaes, and H. Schomerus, Phys. Rev. A 77, 013834 (2008).
155. S.-Y. Lee, J.-W. Ryu, J.-B. Shim, S.-B. Lee, S.W. Kim, and K. An, Phys. Rev. A 78, 015805 (2008).
156. H. Schomerus, Phys. Rev. A 79, 061801 (2009).
157. E. Bogomolny, R. Dubertrand, and C. Schmit, Phys. Rev. E 78, 056202 (2008).