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PIER PIER B PIER C PIER M PIER Letters
2020-01-03
Green's Dyadic, Spectral Function, Local Density of States, and Fluctuation Dissipation Theorem
By
Weng Cho Chew,

    Professor Weng Cho Chew

    Department of Electrical and Computer Engineering

    University of Illinois at Urbana-Champaign

    USA

    Homepage

Wei E. I. Sha,

    Dr. Wei E. I. Sha

    College of Information Science & Electronic Engineering

    Zhejiang University

    China

    Homepage

Qi Dai

    Dr. Qi Dai

    Hong Kong University

    China

    Homepage

, Vol. 166, 147-165, 2019
doi:10.2528/PIER19111801
Abstract
The spectral functions are studied in conjunction with the dyadic Green's functions for various media. The dyadic Green's functions are found using the eigenfunction expansion method for homogeneous, inhomogeneous, periodic, lossless, lossy, and anisotropic media, guided by the Bloch-Floquet theorem. For the lossless media cases, the spectral functions can be directly related to the photon local density of states, and hence, to the electromagnetic energy density. For the lossy case, the spectral function can be related to the field correlation function. Because of these properties, one can derive properties for field correlations and the Langevin-source correlations without resorting to the fluctuation dissipation theorem. The results are corroborated by the fluctuation dissipation theorem. An expression for the local density of states for lossy, inhomogeneous, and dispersive media has also been suggested.
Citation
Weng Cho Chew, Wei E. I. Sha, and Qi Dai, "Green's Dyadic, Spectral Function, Local Density of States, and Fluctuation Dissipation Theorem," , Vol. 166, 147-165, 2019.
doi:10.2528/PIER19111801
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