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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 20 — Oct. 7, 2013
  • pp: 24093–24098

Coherent-form energy conservation relation for the elastic scattering of a guided mode in a symmetric scattering system

Haitao Liu  »View Author Affiliations


Optics Express, Vol. 21, Issue 20, pp. 24093-24098 (2013)
http://dx.doi.org/10.1364/OE.21.024093


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Abstract

We propose a coherent-form energy conservation relation (ECR) that is generally valid for the elastic transmission and reflection of a guided mode in a symmetric scattering system. In contrast with the classical incoherent-form ECR, |τ|2 + |ρ|2≤1 with τ and ρ denoting the elastic transmission and reflection coefficients of a guided mode, the coherent-form ECR is expressed as |τ + ρ|≤1, which imposes a constraint on a coherent superposition of the transmitted and reflected modes. The coherent-form ECR is rigorously demonstrated and is numerically tested by considering different types of modes in various scattering systems. Further discussions with the scattering matrix formalism indicate that two coherent-form ECRs, |τ + ρ|≤1 and |τρ|≤1, along with the classical ECR |τ|2 + |ρ|2≤1 constitute a complete description of the energy conservation for the elastic scattering of a guided mode in a symmetric scattering system. The coherent-form ECR provides a common tool in terms of energy transfer for understanding and analyzing the scattering dynamics in currently interested scattering systems.

© 2013 OSA

OCIS Codes
(130.2790) Integrated optics : Guided waves
(260.2160) Physical optics : Energy transfer
(290.5825) Scattering : Scattering theory

ToC Category:
Scattering

History
Original Manuscript: August 5, 2013
Revised Manuscript: September 13, 2013
Manuscript Accepted: September 16, 2013
Published: October 1, 2013

Citation
Haitao Liu, "Coherent-form energy conservation relation for the elastic scattering of a guided mode in a symmetric scattering system," Opt. Express 21, 24093-24098 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-20-24093


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