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

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 ar...

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Veröffentlicht in:	Optics express 2008-02, Vol.16 (3), p.1903-1914
Hauptverfasser:	Willis, Keely J, Schneider, John B, Hagness, Susan C
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Sprache:	eng
Schlagworte:	Amplifiers, Electronic Computer Simulation Finite Element Analysis Light Models, Theoretical Refractometry - methods Scattering, Radiation
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description	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.
doi_str_mv	10.1364/oe.16.001903
format	Article
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subjects	Amplifiers, Electronic Computer Simulation Finite Element Analysis Light Models, Theoretical Refractometry - methods Scattering, Radiation
title	Amplified total internal reflection: theory, analysis, and demonstration of existence via FDTD
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