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Optics Letters

Optics Letters


  • Editor: Xi-Cheng Zhang
  • Vol. 39, Iss. 3 — Feb. 1, 2014
  • pp: 574–577

Reflection and transmission of electromagnetic waves at a temporal boundary

Yuzhe Xiao, Drew N. Maywar, and Govind P. Agrawal  »View Author Affiliations

Optics Letters, Vol. 39, Issue 3, pp. 574-577 (2014)

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We consider propagation of an electromagnetic (EM) wave through a dynamic optical medium whose refractive index varies with time. Specifically, we focus on the reflection and transmission of EM waves from a temporal boundary and clarify the two different physical processes that contribute to them. One process is related to impedance mismatch, while the other results from temporal scaling related to a sudden change in the speed of light at the temporal boundary. Our results show that temporal scaling of the electric field must be considered for light propagation in dynamic media. Numerical solutions of Maxwell’s equations are in full agreement with our theory.

© 2014 Optical Society of America

OCIS Codes
(120.5700) Instrumentation, measurement, and metrology : Reflection
(120.7000) Instrumentation, measurement, and metrology : Transmission
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: November 19, 2013
Revised Manuscript: December 19, 2013
Manuscript Accepted: December 19, 2013
Published: January 27, 2014

Yuzhe Xiao, Drew N. Maywar, and Govind P. Agrawal, "Reflection and transmission of electromagnetic waves at a temporal boundary," Opt. Lett. 39, 574-577 (2014)

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  1. F. R. Morgenthaler, IRE Trans. Microwave Theory Tech. 6, 167 (1958). [CrossRef]
  2. C.-L. Jiang, IEEE Trans. Antennas Propag. 23, 83 (1975). [CrossRef]
  3. T. Ruiz, C. Wright, and J. Smith, IEEE Trans. Antennas Propag. 26, 358 (1978). [CrossRef]
  4. J. C. AuYeung, Opt. Lett. 8, 148 (1983). [CrossRef]
  5. D. K. Kalluri and V. R. Goteti, J. Appl. Phys. 72, 4575 (1992). [CrossRef]
  6. M. Cirone, K. Rzaz-dotewski, and J. Mostowski, Phys. Rev. A 55, 62 (1997). [CrossRef]
  7. J. T. Mendonca and P. K. Shukla, Phys. Scr. 65, 160 (2002). [CrossRef]
  8. D. K. Kalluri and C. Jinming, IEEE Trans. Antennas Propag. 57, 2698 (2009). [CrossRef]
  9. S. C. Wilks, J. M. Dawson, and W. B. Mori, Phys. Rev. Lett. 61, 337 (1988). [CrossRef]
  10. N. Yugami, T. Niiyama, T. Higashiguchi, H. Gao, S. Sasaki, H. Ito, and Y. Nishida, Phys. Rev. E 65, 036505 (2002). [CrossRef]
  11. A. Nishida, N. Yugami, T. Higashiguchi, T. Otsuka, F. Suzuki, M. Nakata, Y. Sentoku, and R. Kodama, Appl. Phys. Lett. 101, 161118 (2012). [CrossRef]
  12. M. F. Yanik and S. Fan, Phys. Rev. Lett. 92, 083901 (2004). [CrossRef]
  13. M. F. Yanik and S. Fan, Phys. Rev. Lett. 93, 173903 (2004). [CrossRef]
  14. M. Notomi and S. Mitsugi, Phys. Rev. A 73, 051803(R) (2006). [CrossRef]
  15. S. Preble, Q. Xu, and M. Lipson, Nat. Photonics 1, 293 (2007). [CrossRef]
  16. T. Kampfrath, D. M. Beggs, T. P. White, A. Melloni, T. F. Krauss, and L. Kuipers, Phys. Rev. A 81, 043837 (2010). [CrossRef]
  17. J. T. Mendonca, Theory of Photon Acceleration (Taylor & Francis, 2000).
  18. F. Biancalana, A. Amann, A. V. Uskov, and E. P. O’Reilly, Phys. Rev. E 75, 046607 (2007). [CrossRef]
  19. J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, 1998), p. 302.
  20. Y. Xiao, G. P. Agrawal, and D. N. Maywar, Opt. Lett. 36, 505 (2011). [CrossRef]
  21. Y. Xiao, D. N. Maywar, and G. P. Agrawal, Opt. Lett. 37, 1271 (2012). [CrossRef]

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