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Journal of Applied Physics

Quantization of Electromagnetic Radiation Fields in Moving Uniaxial Media

Jin Au Kong

Published Feb 1, 1970• 14 citations
Publisher

Abstract

Radiation fields in moving uniaxial media have been quantized without introducing auxiliary potential functions. Hamiltonian and momentum operators are diagonalized in momentum space and written in terms of annihilation and creation operators of the photon state. It is found that two types of photons corresponding to classical ordinary and extraordinary waves will exist, and they are called ordinary photons and extraordinary photons. Physical interpretations of the various results are discussed.

DOI
10.1063/1.1658712

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Radiation fields in moving uniaxial media have been quantized without introducing auxiliary potential functions. Hamiltonian and momentum operators are diagonalized in momentum space and written in terms of annihilation and creation operators of the photon state. It is found that two types of photons corresponding to classical ordinary and extraordinary waves will exist, and they are called ordinary photons and extraordinary photons. Physical interpretations of the various results are discussed.
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In this work we investigate the quantization of electromagnetic waves propagating through homogeneous conducting linear media with no charge density. We use Coulomb's gauge to reduce the problem to that of a time-dependent harmonic oscillator, which is described by the Caldirola–Kanai Hamiltonian. Furthermore, we obtain the corresponding exact wave functions with the help of quadratic invariants and of the dynamic invariant method. These wave functions are written in terms of a particular solution of the Milne–Pinney equation. We also construct coherent and squeezed states for the quantized electromagnetic waves and evaluate the quantum fluctuations in coordinates and momentum as well as the uncertainty product for each mode of the electromagnetic field.