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Gain and saturation in semiconductor lasers

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Abstract

Several approaches have been developed for modelling the gain and saturation behaviour of semiconductor lasers, and this study includes a historical review of these various approaches. Special attention is given to rate equation models and to the possibility of so-called gain nonlinearities that might affect the CW and modulation performance of semiconductor lasers. Discussions are mainly limited to the GaAs/GaAIAs and InGaAsP/InP systems, for which the gain and gain nonlinearities have been most extensively studied.

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References

  1. G. J. LASHER, Solid State Electron. 7 (1964) 707.

    Google Scholar 

  2. H. HAUG, Phys. Rev. 184 (1969) 338.

    Google Scholar 

  3. M. J. ADAMS, Phys. Stat. Sol. (a): Appl. Res. 1 (1970) 143.

    Google Scholar 

  4. M. J. ADAMS, Opto-Electronics 5 (1973) 201.

    Google Scholar 

  5. R. SALATHE, C. VOUMARD and H. WEBER, Opto-Electronics 6 (1974) 451.

    Google Scholar 

  6. R. OLSHANSKY, C. B. SU, J. MANNING and W. POWAZINIK, IEEE J. Quantum Electron. QE 20 (1984) 838.

    Google Scholar 

  7. N. K. DUTTA and R. J. NELSON, IEEE J. Quantum Electron. QE 18 (1982) 871.

    Google Scholar 

  8. N. K. DUTTA, R. L. HARTMAN and W. T. TSANG, IEEE J. Quantum Electron. QE 19 (1983) 1243.

    Google Scholar 

  9. N. K. DUTTA, R. L. HARTMAN and W. T. TSANG, IEEE J. Quantum Electron. QE 19 (1983) 1613.

    Google Scholar 

  10. B. W. HAKKI and L. PAOLI, J. Appl. Phys. 44 (1973) 4113.

    Google Scholar 

  11. M. BOERS and T. VLAARDINGERBROEK, Electron. Lett. 11 (1975) 206.

    Google Scholar 

  12. J. Z. WILCOX, G. L. PETERSON, S. OU, J. J. YANG, M. JANSEN and D. SCHECHTER, J. Appl. Phys. 64 (1988) 6564.

    Google Scholar 

  13. M. J. ADAMS and B. THOMAS, IEEE J. Quantum Electron. QE 13 (1977) 580.

    Google Scholar 

  14. J. COPELAND, Electron. Lett. 14 (1978) 809.

    Google Scholar 

  15. T.-P. LEE, C. A. BURRUS, J. A. COPELAND, A. G. DENTAI and D. MARCUSE, IEEE J. Quantum Electron. QE 18 (1982) 1101.

    Google Scholar 

  16. J. E. BOWERS, B. R. HEMENWAY, A. H. GNAUCK and D. P. WILT, IEEE J. Quantum Electron. QE 22 (1986) 833.

    Google Scholar 

  17. G. P. AGRAWAL, IEEE J. Quantum Electron. QE 21 (1985) 680.

    Google Scholar 

  18. J. C. CARTLEDGE and G. S. BURLEY, J. Lightwave Technol. 7 (1989) 568.

    Google Scholar 

  19. K. Y. LAU and A. YARIV, IEEE J. Quantum Electron. QE 21 (1985) 121.

    Google Scholar 

  20. P. PAULUS, R. LANGENHORST and D. JAGER, IEEE J. Quantum Electron. 24 (1988) 1519.

    Google Scholar 

  21. M. TANG and S. WANG, Appl. Phys. Lett. 50 (1987) 1861.

    Google Scholar 

  22. W. J. WAY, J. Lightwave Technol. LT 5 (1987) 305.

    Google Scholar 

  23. E. HEMERY, L. CHUSSEAR and J.-M. LOURTIOZ, IEEE J. Quantum Electron. 26 (1990) 633.

    Google Scholar 

  24. D. J. CHANIN, J. Appl. Phys. 50 (1979) 3858.

    Google Scholar 

  25. R. S. TUCKER and D. J. POPE, IEEE J. Quantum Electron. QE 19 (1983) 1179.

    Google Scholar 

  26. N. CHINONE, K. AIKI, M. NAKAMURA and R. ITO, IEEE J. Quantum Electron. QE 14 (1978) 625.

    Google Scholar 

  27. K. FURUYA, Y. SUEMATSU and T. HONG, Appl. Opt. 17 (1978) 1949.

    Google Scholar 

  28. M. J. ADAMS and M. OSINSKI, Electron. Lett. 19 (1983) 627.

    Google Scholar 

  29. J. MANNING, R. OLSHANSKY, D. M. FYE and W. POWAZINIK, Electron. Lett. 21 (1985) 496.

    Google Scholar 

  30. J. E. BOWERS, T. L. KOCH, B. R. HEMENWAY, P. D. WILT, T. J. BRIDGES and E. G. BURKHARDT, Electron. Lett. 21 (1985) 297.

    Google Scholar 

  31. J. E. BOWERS, Solid-State Electron. 30 (1987) 1.

    Google Scholar 

  32. K. Y. LAU, Appl. Phys. Lett. 52 (1988) 257.

    Google Scholar 

  33. R. S. TUCKER, IEE Proc. Part I 128 (1982) 180.

    Google Scholar 

  34. R. S. TUCKER and I. KAMINOW, J. Lightwave Technol. LT 2 (1984) 385.

    Google Scholar 

  35. R. S. TUCKER, J. Lightwave Technol. LT 3 (1985) 1180.

    Google Scholar 

  36. G. P. AGRAWAL, Appl. Phys. Lett. 57 (1990) 1.

    Google Scholar 

  37. T. L. KOCH and R. A. LINKE, Appl. Phys. Lett. 48 (1986) 613.

    Google Scholar 

  38. G. MORTHIER, P. VANKWIKELBERGE, F. BUYTAERT and R. BAETS, IEE Proc. Part J. 137 (1990) 30.

    Google Scholar 

  39. M. TOHYAMA, R. TAKAHASHI and T. KAMIYA, IEEE J. Quantum Electron. 27 (1991) 2201.

    Google Scholar 

  40. R. SCHATZ, IEEE J. Quantum Electron. 28 (1992) 1443.

    Google Scholar 

  41. G. P. AGRAWAL, Appl. Phys. Lett. 49 (1986) 1013.

    Google Scholar 

  42. R. F. KAZARINOV, C. H. HENRY and R. A. LOGAN, J. Appl. Phys. 53 (1982) 4631.

    Google Scholar 

  43. B. N. GOMATAM and A. P. DEFONZO, J. Appl. Phys. 64 (1988) 1555.

    Google Scholar 

  44. A. P. DEFONZO and B. N. GOMATAM, Appl. Phys. Lett. 56 (1990) 611.

    Google Scholar 

  45. B. N. GOMATAM and A. P. DEFONZO, IEEE J. Quantum Electron. 26 (1990) 1689.

    Google Scholar 

  46. D. R. HJELME and A. R. MICKELSON, IEEE J. Quantum Electron. 25 (1987) 1625.

    Google Scholar 

  47. N. Ogasawara, R. Ito, K. Tone and H. Nakae, Jap. J. Appl. Phys. 23 (1984) L518.

  48. M. WILLATZEN, A. USKOV, J. MORK, H. OLESEN, B. TROMBORG and A. P. JAUHO, IEEE Photonics Technol. Lett. 3 (1991) 606.

    Google Scholar 

  49. C. B. KIM, E. T. PENG, C. B. SU, W. RIDEOUT and G. H. CHA, IEEE Photonics Technol. Lett. 4 (1992) 969.

    Google Scholar 

  50. G. P. AGRAWAL, IEEE J. Quantum Electron. QE 23 (1987) 860.

    Google Scholar 

  51. H. YASAKA, K. TAKAHATA, N. YAMAMOTO and M. NAGANUMA, IEEE Photonics Technol. Lett. 3 (1991) 879.

    Google Scholar 

  52. T. OGAWA, Y. IDA and K. HAYASHI, IEEE Photonics Technol. Lett. 4 (1992) 345.

    Google Scholar 

  53. M. WILLATZEN, T. TAKAHASHI and Y. ARAKAWA, IEEE Photonics Technol. Lett. 4 (1992) 682.

    Google Scholar 

  54. H. YASAKA, Y. YOSHIKUNI and M. WATANABE, IEEE J. Quantum Electron. 27 (1991) 2248.

    Google Scholar 

  55. G. P. AGRAWAL and N. K. DUTTA, Long-Wavelength Semiconductor Lasers, Chapter 2 (Van Nostrand Reinhold, New York, 1985).

    Google Scholar 

  56. L. W. CASPERSON, J. Appl. Phys. 46 (1975) 5194.

    Google Scholar 

  57. T. MUKAI and Y. YAMAMOTO, IEEE J. Quantum Electron. QE 17 (1981) 1028.

    Google Scholar 

  58. K. Y. LAU and A. YARIV, Appl. Phys. Lett. 40 (1982) 763.

    Google Scholar 

  59. S. E. MILLER, IEEE J. Quantum Electron. QE 23 (1987) 1071.

    Google Scholar 

  60. P.-L. LIU and M. M. CHOY, IEEE J. Quantum Electron. 25 (1989) 1767.

    Google Scholar 

  61. J. C. CARTLEDGE and A. F. ELREFAIE, J. Lightwave Technol. 8 (1990) 704.

    Google Scholar 

  62. D. MARCUSE and F. R. NASH, IEEE J. Quantum Electron. QE 18 (1982) 30.

    Google Scholar 

  63. D. MARCUSE, IEEE J. Quantum Electron. QE 19 (1983) 63.

    Google Scholar 

  64. D. MARCUSE and T.-P. LEE, IEEE J. Quantum Electron. QE 19 (1983) 1397.

    Google Scholar 

  65. D. MARCUSE, IEEE J. Quantum Electron. QE 20 (1984) 1139.

    Google Scholar 

  66. D. MARCUSE, IEEE J. Quantum Electron. QE 21 (1985) 154.

    Google Scholar 

  67. T.-P. LEE, C. A. BURRUS, J. A. COPELAND, A. G. DENTAI and D. MARCUSE, IEEE J. Quantum Electron. QE 18 (1982) 1101.

    Google Scholar 

  68. C.-H. LEE and S.-Y. SHIN, IEEE J. Quantum Electron. 25 (1989) 878.

    Google Scholar 

  69. J. BUUS, IEE Proc. Part J 132 (1985) 42.

    Google Scholar 

  70. A. S. SUDBO, IEEE J. Quantum Electron. QE 23 (1987) 1127.

    Google Scholar 

  71. J. Z. WILCOX and L. W. CASPERSON, J. Appl. Phys. 56 (1984) 57.

    Google Scholar 

  72. B. THEDREZ, A. JONES and R. FREY, IEEE J. Quantum Electron. 24 (1988) 1499.

    Google Scholar 

  73. F.DEROUGEMONT and R. FREY, Phys. Rev. B. 37 (1988) 1237.

    Google Scholar 

  74. P. B. HANSEN, J. M. WIESENFELD, G. EISENSTEIN, R. S. TUCKER and G. RAYBON, IEEE J. Quantum Electron. 25 (1989) 2611.

    Google Scholar 

  75. G. Lasher and F. Stern, Phys. Rev. 133 (1964) A533.

  76. H. C. CASEY Jr. and F. STERN, J. Appl. Phys. 47 (1976) 631.

    Google Scholar 

  77. F. STERN, J. Appl. Phys. 47 (1976) 5382.

    Google Scholar 

  78. F. STERN, IEEE J. Quantum Electron. QE 9 (1973) 290.

    Google Scholar 

  79. N. K. DUTTA, J. Appl. Phys. 51 (1980) 6095.

    Google Scholar 

  80. B. W. HAKKI and T. L. PAOLI, J. Appl. Phys. 46 (1975) 1299.

    Google Scholar 

  81. M. OSINSKI and M. J. ADAMS, IEE Proc. Part I 129 (1982) 229.

    Google Scholar 

  82. F. MARINELLI, Solid-State Electron. 8 (1965) 939.

    Google Scholar 

  83. H. GHAFOORI-SHIRAZ, J. Lightwave Technol. 6 (1988) 500.

    Google Scholar 

  84. M. ASADA and Y. SUEMATSU, IEEE J. Quantum Electron. QE 21 (1985) 434.

    Google Scholar 

  85. Y. Nishimura, K. Kobayashi, T. Ikegami and Y. Suematsu, Proceedings of the International Quantum Electronics Conference, No. 20. Kyoto, Japan, September 1970.

  86. Y. Nishimura, K. Kobayashi, T. Ikegami and Y. Suematsu, Proceedings of Technical Meeting IECE Japan, No. QE71-22, September 1971.

  87. Y. NISHIMURA and Y. NISHIMURA, IEEE J. Quantum Electron. QE 9 (1973) 1011.

    Google Scholar 

  88. W. E. Lamb, Jr., Phys. Rev. 134 (1964) A1429.

  89. B. ZEE, IEEE J. Quantum Electron. QE 14 (1978) 727.

    Google Scholar 

  90. M. YAMADA, K. HAYANO, H. ISHIGURO and Y. SUEMATSU, Jap. J. Appl. Phys. 18 (1979) 1531.

    Google Scholar 

  91. M. YAMADA and Y. SUEMATSU, Semiconductor Diode Lasers, edited by W. Streifer and M. Ettenberg (IEEE Press, New York, 1991) pp. 5–12.

    Google Scholar 

  92. M. YAMADA and Y. SUEMATSU, IEEE J. Quantum Electron. QE 15 (1979) 743.

    Google Scholar 

  93. M. YAMADA and Y. SUEMATSU, J. Appl. Phys. 52 (1981) 2653.

    Google Scholar 

  94. H. ISHIKAWA, H. IMAI, T. TANAHASHI and M. TAKUSAGAWA, Appl. Phys. Lett. 38 (1981) 962.

    Google Scholar 

  95. D. T. CASSIDY, IEEE J. Quantum Electron. QE 20 (1984) 913.

    Google Scholar 

  96. T. MUKAI, K. INOUE and T. SAITOH, Appl. Phys. Lett. 51 (1987) 381.

    Google Scholar 

  97. M. T. TAVIS, IEEE J. Quantum Electron. QE 19 (1983) 1302.

    Google Scholar 

  98. W. W. CHOW, G. C. DENTE and D. DEPATIE, IEEE J. Quantum Electron. QE 23 (1987) 1314.

    Google Scholar 

  99. G. P. AGRAWAL, J. Appl. Phys. 63 (1988) 1232.

    Google Scholar 

  100. G. P. AGRAWAL, IEEE Photonics Technol. Lett. 1 (1989) 419.

    Google Scholar 

  101. G. P. AGRAWAL, IEEE J. Quantum Electron. 26 (1990) 1901.

    Google Scholar 

  102. Y. C. A. WONG and K. A. SHORE, IEE Proc. Part J. 139 (1992) 243.

    Google Scholar 

  103. M. YAMADA, J. Appl. Phys. 66 (1989) 81.

    Google Scholar 

  104. Y. ARAKAWA and T. TAKAHASHI, Electron. Lett. 25 (1989) 169.

    Google Scholar 

  105. S. KOBAYASHI and T. KIMURA, Electron. Lett. 16 (1980) 230.

    Google Scholar 

  106. N. OGASAWARA and R. ITO, Jap. J. Appl. Phys. 27 (1988) 615.

    Google Scholar 

  107. H. S. SOMMERS Jr., IEE Proc. Part I 129 (1982) 262.

    Google Scholar 

  108. J. A. COPELAND, IEEE J. Quantum Electron. QE 16 (1980) 721.

    Google Scholar 

  109. H. S. Sommers, Jr. and D. O. North, Solid-State Electron. (1976) 675.

  110. R. DINGLE, W. WIEGMANN and C. H. HENRY, Phys. Rev. Lett. 33 (1974) 827.

    Google Scholar 

  111. G. P. AGRAWAL and N. K. DUTTA, Long Wavelength Semiconductor Lasers, Chapter 9 (Van Nostrand Reinhold, New York, 1986).

    Google Scholar 

  112. A. Yariv, IEEE Circuits Devices Mag. (1989) 25.

  113. Y. ARAKAWA and A. YARIV, IEEE J. Quantum Electron. QE 22 (1986) 1887.

    Google Scholar 

  114. D. AHN and S.-L. CHUANG, IEEE J. Quantum Electron. 24 (1988) 2400.

    Google Scholar 

  115. T. C. CHONG and C. G. FONSTAD, IEEE J. Quantum Electron. 25 (1989) 171.

    Google Scholar 

  116. I. SUEMUNE, Appl. Phys. Lett. 55 (1989) 2579.

    Google Scholar 

  117. D. F. WELCH, W. STREIFER, C. F. SCHAUS, S. SUN and P. L. GOURLEY, Appl. Phys. Lett. 56 (1990) 10.

    Google Scholar 

  118. R. H. YAN, S. W. CORZINE, L. A. COLDREN and I. SUEMUNE, IEEE J. Quantum Electron. 26 (1990) 213.

    Google Scholar 

  119. S. R. CHINN, P. S. ZORY and A. R. REISINGER, IEEE J. Quantum Electron. 24 (1988) 2191.

    Google Scholar 

  120. H. KOBAYASHI, H. IWAMURA, T. SAKU and K. OTSUKA, Electron. Lett. 19 (1983) 166.

    Google Scholar 

  121. S. COLAK, R. EPPENGA and M. F. H. SCHUURMANS, IEEE J. Quantum Electron. QE 23 (1987) 960.

    Google Scholar 

  122. D. AHN and S. L. CHUANG, J. Appl. Phys. 64 (1988) 6143.

    Google Scholar 

  123. U. EKENBERG and M. ALTARELLI, Phys. Rev. B 30 (1984) 3569.

    Google Scholar 

  124. R. C. MILLER, A. C. GOSSARD, G. D. SANDERS, Y.-C. CHANG and J. N. SCHULMAN, Phys. Rev. B 32 (1985) 8452.

    Google Scholar 

  125. Y.-C. CHANG and J. N. SCHULMAN, Phys. Rev. B 31 (1985) 2069.

    Google Scholar 

  126. A. TWARDOWSK and C. HERMANN, Phys. Rev. B 35 (1987) 8144.

    Google Scholar 

  127. M. F. H. SHUURMANS and G. W.'THOOFT, Phys. Rev. B 31 (1985) 8041.

    Google Scholar 

  128. D. A. BROIDO and L. J. SHAM, Phys. Rev. B 34 (1986) 3917.

    Google Scholar 

  129. R. Eppenga, M. Schuurmans and S. Colak, Proceedings of the International Conference on Physics of Semiconductors, Stockholm, Sweden, August 1986, p. 453.

  130. D. AHN and S.-L. CHUANG, IEEE J. Quantum Electron. 26 (1990) 13.

    Google Scholar 

  131. H. HAUG and S. W. KOCH, Phys. Rev. A 39 (1989) 1887.

    Google Scholar 

  132. P. T. LANDSBERG, M. S. ABRAHAMS and M. OSINSKI, IEEE J. Quantum Electron. QE 21 (1985) 24.

    Google Scholar 

  133. B. W. HAKKI and T. PAOLI, J. Appl. Phys. 40 (1975) 1299.

    Google Scholar 

  134. C. H. HENRY, R. A. LOGAN and K. A. BERTNESS, J. Appl. Phys. 52 (1981) 4453.

    Google Scholar 

  135. C. H. HENRY, R. A. LOGAN, H. TEMKIN and F. R. MERRITT, IEEE J. Quantum Electron. QE 19 (1983) 941.

    Google Scholar 

  136. M. P. KESLER and C. HARDER, IEEE Photonics Technol. Lett. 2 (1990) 464.

    Google Scholar 

  137. M. P. KESLER and C. HARDER, Appl. Phys. Lett. 57 (1990) 123.

    Google Scholar 

  138. D. T. CASSIDY, J. Appl. Phys. 56 (1984) 3096.

    Google Scholar 

  139. L. A. L. S. CHO, P. M. SMOWTON and B. THOMAS, IEE Proc. Part J 137 (1990) 64.

    Google Scholar 

  140. M. ASADA, A. KAMEYAMA and Y. SUEMATSU, IEEE J. Quantum Electron. QE 20 (1984) 745.

    Google Scholar 

  141. M. YAMADA, S. OGITA, M. YAMAGISHI, K. TABATA, N. NAKAYA, M. ASADA and Y. SUEMATSU, Appl. Phys. Lett. 45 (1984) 324.

    Google Scholar 

  142. M. YAMADA, S. OGITA, M. YAMAGISHI and K. TABATA, IEEE J. Quantum Electron. QE 21 (1985) 640.

    Google Scholar 

  143. L. D. ZHU, B. Z. ZHENG and G. A. B. FEAK, IEEE J. Quantum Electron. 25 (1989) 2007.

    Google Scholar 

  144. T. L. KOCH and J. E. BOWERS, Electron. Lett. 20 (1984) 1038.

    Google Scholar 

  145. O. NILSSON and Y. YAMAMOTO, Appl. Phys. Lett. 46 (1985) 223.

    Google Scholar 

  146. W. Z. LIN, J. G. FUJIMOTO, E. P. IPPEN and R. A. LOGAN, Appl. Phys. Lett. 51 (1987) 161.

    Google Scholar 

  147. Y. H. LEE, A. CHAVEZ-PIRSON, S. W. KOCH, H. M. GIBBS, S. H. PARK, J. MORHANGE, A. JEFFERY, N. PEYGHAMBARIAN, L. BANYAI, A. C. GOSSARD and W. WIEGMANN, Phys. Rev. Lett. 57 (1986) 2446.

    Google Scholar 

  148. S. H. PARK, J. F. MORHANGE, A. D. JEFFREY, R. A. MORGAN, A. CHAVEZ-PIRSON, H. M. GIBBS, S. W. KOCH, N. PEYGHAMBARIAN, M. DERSTINE, A. C. GOSSARD, J. H. ENGLISH and W. WEIGMANN, Appl. Phys. Lett. 52 (1988) 1201.

    Google Scholar 

  149. N. Ogasawara, R. Ito, K. Tone and H. Nakae, Jap. J. Appl. Phys. 23 (1984) L518.

  150. M. S. STIX, M. P. KESLER and E. P. IPPEN, Appl. Phys. Lett. 48 (1986) 1722.

    Google Scholar 

  151. M. P. KESLER and E. P. IPPEN, Appl. Phys. Lett. 52 (1987) 1765.

    Google Scholar 

  152. B. C. JOHNSON and A. MOORADIAN, Appl. Phys. Lett. 49 (1986) 1135.

    Google Scholar 

  153. C. R. PIDGEON, B. S. WHERRETT, A. M. JOHNSTON, J. DEMPSEY and A. MILLER, Phys. Rev. Lett. 42 (1979) 1785.

    Google Scholar 

  154. J. M. WIESENFELD, R. S. TUCKER and P. M. DOWNEY, Appl. Phys. Lett. 51 (1987) 1307.

    Google Scholar 

  155. C. B. SU, V. LANIZERA and R. OLSHANSKY, Electron. Lett. 21 (1985) 893.

    Google Scholar 

  156. S. TSUJI, R. S. VODHANEL and M. M. CHOY, Appl. Phys. Lett. 54 (1989) 90.

    Google Scholar 

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  1. Department of Electrical Engineering, Portland State University, P.O. Box 751, 97207-0751, Portland, OR, USA

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Huang, J., Casperson, L.W. Gain and saturation in semiconductor lasers. Opt Quant Electron 25, 369–390 (1993). https://doi.org/10.1007/BF00420579

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