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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 3 — Feb. 4, 2008
  • pp: 1903–1914

Amplified total internal reflection: theory, analysis, and demonstration of existence via FDTD

Keely J. Willis, John B. Schneider, and Susan C. Hagness  »View Author Affiliations

Optics Express, Vol. 16, Issue 3, pp. 1903-1914 (2008)

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The explanation of wave behavior upon total internal reflection from a gainy medium has defied consensus for 40 years. We examine this question using both the finite-difference time-domain (FDTD) method and theoretical analyses. FDTD simulations of a localized wave impinging on a gainy half space are based directly on Maxwell’s equations and make no underlying assumptions. They reveal that amplification occurs upon total internal reflection from a gainy medium; conversely, amplification does not occur for incidence below the critical angle. Excellent agreement is obtained between the FDTD results and an analytical formulation that employs a new branch cut in the complex “propagation-constant” plane.

© 2008 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(260.6970) Physical optics : Total internal reflection

ToC Category:
Physical Optics

Original Manuscript: November 2, 2007
Revised Manuscript: January 10, 2008
Manuscript Accepted: January 16, 2008
Published: January 28, 2008

Keely J. Willis, John B. Schneider, and Susan C. Hagness, "Amplified total internal reflection: theory, analysis, and demonstration of existence via FDTD," Opt. Express 16, 1903-1914 (2008)

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