Unified approach to QED in arbitrary linear media

Christian Raabe, Stefan Scheel, and Dirk-Gunnar Welsch
Phys. Rev. A 75, 053813 – Published 15 May 2007

Abstract

We give a unified approach to macroscopic QED in arbitrary linearly responding media, based on the quite general, nonlocal form of the conductivity tensor as it can be introduced within the framework of linear response theory, and appropriately chosen sets of bosonic variables. The formalism generalizes the quantization schemes that have been developed previously for diverse classes of linear media. In particular, it turns out that the scheme developed for locally responding linear magnetodielectric media can be recovered from the general scheme as a limiting case for weakly spatially dispersive media. With regard to practical applications, we furthermore address the dielectric approximation for the conductivity tensor and the surface impedance method for the calculation of the Green tensor of the macroscopic Maxwell equations, the two central quantities of the theory.

  • Received 28 December 2006

DOI:https://doi.org/10.1103/PhysRevA.75.053813

©2007 American Physical Society

Authors & Affiliations

Christian Raabe1, Stefan Scheel2, and Dirk-Gunnar Welsch1

  • 1Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743 Jena, Germany
  • 2Quantum Optics and Laser Science, Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2BW, United Kingdom

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Issue

Vol. 75, Iss. 5 — May 2007

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