Diagonalization of the Hamiltonian for EM Fields in Absorbing/Dispersive/Inhomogeneous Media

We numerically study a one-dimensional energy-conserving explicit model, in which classical electromagnetic fields interact with coarse-grained matter oscillators, to recover the physics of EM propagation in absorbing/dispersive/inhomogeneous dielectric media. Based on the Hamiltonian mechanics fram...

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Bibliographic Details
Published in2021 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (APS/URSI) pp. 1803 - 1804
Main Authors Na, Dong-Yeop, Chew, Weng C.
Format Conference Proceeding
LanguageEnglish
Published IEEE 04.12.2021
Subjects
Dielectrics
Eigenvalues and eigenfunctions
Electromagnetic fields
Media
Meetings
Numerical models
Quantization (signal)
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Summary:We numerically study a one-dimensional energy-conserving explicit model, in which classical electromagnetic fields interact with coarse-grained matter oscillators, to recover the physics of EM propagation in absorbing/dispersive/inhomogeneous dielectric media. Based on the Hamiltonian mechanics framework, we derive a generalized Hermitian eigenvalue problem and extract a countably finite/complete set of eigenmodes using the finite-difference method. The present approach provides a platform to perform the canonical quantization with mode decomposition in the presence of absorbing/dispersive/inhomogeneous dielectric media.
DOI:10.1109/APS/URSI47566.2021.9704251