Generalized quasi mode theory of macroscopic canonical quantization in cavity quantum electrodynamics and quantum optics II. Application to reflection and refraction at a dielectric interface

Brown, S. A. and Dalton, B. J. (2001) Generalized quasi mode theory of macroscopic canonical quantization in cavity quantum electrodynamics and quantum optics II. Application to reflection and refraction at a dielectric interface. Journal of Modern Optics, 48 4: 639-669. doi:10.1080/09500340108230938


Author Brown, S. A.
Dalton, B. J.
Title Generalized quasi mode theory of macroscopic canonical quantization in cavity quantum electrodynamics and quantum optics II. Application to reflection and refraction at a dielectric interface
Journal name Journal of Modern Optics   Check publisher's open access policy
ISSN 0950-0340
Publication date 2001
Sub-type Article (original research)
DOI 10.1080/09500340108230938
Volume 48
Issue 4
Start page 639
End page 669
Total pages 31
Place of publication [England]
Publisher Taylor & Francis
Collection year 2001
Language eng
Subject C1
240201 Theoretical Physics
780102 Physical sciences
0205 Optical Physics
0206 Quantum Physics
Abstract The generalization of the quasi mode theory of macroscopic quantization in quantum optics and cavity QED presented in the previous paper, is applied to provide a fully quantum theoretic derivation of the laws of reflection and refraction at a boundary. The quasi mode picture of this process involves the annihilation of a photon travelling in the incident region quasi mode, and the subsequent creation of a photon in either the incident region or transmitted region quasi modes. The derivation of the laws of reflection and refraction is achieved through the dual application of the quasi mode theory and a quantum scattering theory based on the Heisenberg picture. Formal expressions from scattering theory are given for the reflection and transmission coefficients. The behaviour of the intensity for a localized one photon wave packet coming in at time minus infinity from the incident direction is examined and it is shown that at time plus infinity, the light intensity is only significant where the classical laws of reflection and refraction predict. The occurrence of both refraction and reflection is dependent upon the quasi mode theory coupling constants between incident and transmitted region quasi modes being nonzero, and it is seen that the contributions to such coupling constants come from the overlap of the mode functions in the boundary layer region, as might be expected from a microscopic theory.
Keyword Optics
Scattering-theory Approach
Molecular Fluid
Light
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: Centre for Advanced Imaging Publications
 
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Created: Tue, 14 Aug 2007, 15:41:28 EST