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Theory of optical spontaneous emission rates in layered structures

H. J. W. M. Hoekstra and H. B. H. Elrofai

  • IOMS Group, Faculty of Electrical Engineering, Mathematics and Informatics, MESA+ Research Institute, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands

Phys. Rev. E 71, 046609 – Published 14 April, 2005

DOI: https://doi.org/10.1103/PhysRevE.71.046609

Abstract

This paper presents expressions for the optical power and fields radiated by an oscillating dipole in layered structures, with loss or gain, that are easy to evaluate. For structures without loss or gain, it is discussed that the radiated power is a direct measure for the local density of modes, whereas for structures with loss or gain, this correspondence no longer holds due to interaction between the dipole and evanescent modes. The presented theory is illustrated with a number of examples.

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References (25)

  1. E. M. Purcell, Phys. Rev. 69, 681 (1946).
  2. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
  3. A. F. Koenderink and W. L. Vos, Phys. Rev. Lett. 91, 213902 (2003).
  4. D. Delbeke, P. Bienstman, R. Bockstaele, and R. Baets, J. Opt. Soc. Am. A 19, 871 (2002); D. Delbeke, thesis, University of Gent, 2002–2003.
  5. T. Erdogan, K. G. Sullivan, and D. G. Hall, J. Opt. Soc. Am. B 10, 391 (1993).
  6. Zhen Ye and Er-xuan Ping, Solid State Commun. 100, 351 (1996).
  7. J. Enderlein, T. Ruckstuhl, and S. Seeger, Appl. Opt. 38, 724 (1999).
  8. W. Lukosz, Phys. Rev. B 22, 3030 (1980).
  9. R. Vallée, N. Tomczak, H. Gersen, E. M. H. P. van Dijk, M. F. García-Parajó, G. J. Vancso, and N. F. van Hulst, Chem. Phys. Lett. 38, 161 (2001).
  10. M. Wubs and A. Lagendijk, Phys. Rev. E 65, 046612 (2002).
  11. S. R. J. Brueck, V. A. Smagley, and P. G. Eliseev, Phys. Rev. E 68, 036608 (2003).
  12. H. Rigneault and S. Monneret, Phys. Rev. A 54, 2356 (1996).
  13. H. Rigneault, S. Maure, and C. Amra, Pure Appl. Opt. 7, 594 (1998).
  14. C. Amra and S. Maure, J. Opt. Soc. Am. A 14, 3102 (1997).
  15. C. Amra and S. Maure, J. Opt. Soc. Am. A 14, 3114 (1997).
  16. M. S. Tomas, Phys. Rev. A 51, 2545 (1995).
  17. P. de Vries, D. V. van Coevorden, and A. Lagendijk, Rev. Mod. Phys. 70, 447 (1998).
  18. H. Kogelnik, Topics in Applied Optics, edited by T. Tamir (Springer-Verlag, Berlin, 1979), Chap. 2.
  19. E. N. Economou, Green’s Functions in Quantum Physics (Springer, Berlin, 1983).
  20. W. C. Chew, Waves and Fields in Inhomogeneous Media (Van Nostrand Reinhold, New York, 1990).
  21. P. Bienstman, H. Derudder, R. Baets, F. Olyslager, and D. De Zutter, IEEE Trans. Microwave Theory Tech. 49, 349 (2001).
  22. S. B. Gaál, H. J. W. M. Hoekstra, and P. V. Lambeck, J. Lightwave Technol. 21, 293 (2003).
  23. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Natl. Bur. Stand. (Dover Publications, New York, 1970).
  24. J. Prawiharjo, A. A. Iskandar, M. O. Tjia, and E. van Groesen, J. Nonlinear Opt. Phys. Mater. 12, 263 (2003).
  25. Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).

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