2004/08/02 by L. G. Suttorp, L. G Suttorp, A. J. van Wonderen · 59 citations
Physics and Astronomy · #Dielectric #Electromagnetic field #Electromagnetic radiation #Fano plane #Hamiltonian (control theory) #Nonlinear Photonic Systems #Polariton #Polarization (electrochemistry) #Quantization (signal processing) #Quantum #Quantum Electrodynamics and Casimir Effect #Strong Light-Matter Interactions #quant-ph
paper · pdf · doi:10.1209/epl/i2004-10131-8
published in Europhysics Letters (EPL) 67(5), 766-772 (Institute of Physics) · 7 pages, to be published in Europhysics Letters
arxiv created 2004/08/02 · openalex publication_date 2004/08/25 · openalex created_date 2016/06/24 · arxiv updated 2018/08/17 · openalex updated_date 2026/08/05
The Hamiltonian of a polariton model for an inhomogeneous linear absorptive dielectric is diagonalized by means of Fano's diagonalization method. The creation and annihilation operators for the independent normal modes are explicitly found as linear combinations of the canonical operators. The coefficients in these combinations depend on the tensorial Green function that governs the propagation of electromagnetic waves through the dielectric. The time-dependent electromagnetic fields in the Heisenberg picture are given in terms of the diagonalizing operators. These results justify the phenomenological quantization of the electromagnetic field in an absorptive dielectric.