Phys. Rev. Lett. 103, 010402 (2009) [4 pages]Electromagnetic Field Quantization in Time-Dependent Linear MediaReceived 27 November 2008; published 1 July 2009 We present a quantization scheme for the electromagnetic field in time-dependent homogeneous nondispersive conducting and nonconducting linear media without sources. Using the Coulomb gauge, we demonstrate this quantization can be mapped into a damped (attenuated) time-dependent quantum harmonic oscillator. Remarkably, we find that the time dependence of the permittivity, for ε˙>0, gives rise to an attenuation of the radiation field. Afterwards, we obtain the exact wave functions for this problem and consider an exponential time accretion of the permittivity as a particular case. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.010402
DOI:
10.1103/PhysRevLett.103.010402
PACS:
03.65.−w, 03.50.De, 12.20.−m, 42.50.Ct
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