Secondary Quantization of the Electromagnetic Field in Inhomogeneous Structures Based on Formalism of Scattering Matrix |
A.V. Belonovskiia, K.M. Morozova, b, K.A. Ivanovb, M.A. Kaliteevskia, b, c
aSt-Petersburg Academic University, Khlopina 8/3, 194021 St. Petersburg, Russia bITMO University, Kronverkskiy pr. 49, 197101 St. Petersburg, Russia cIoffe Institute, Politekhnicheskaya 26, 194021 St. Petersburg, Russia |
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We show the procedure for the secondary quantization of the electromagnetic field in an inhomogeneous medium, based on the formalism of the scattering matrix. We demonstrate the electromagnetic field profiles, which are obtained as a result of applying the scattering matrix formalism and prove their orthogonality. Finally, we derive the Hamiltonian of the system. The obtained procedure allows us to use more complete representation of quantum theory in a layered medium to describe various effects in layered structures. |
DOI:10.12693/APhysPolA.136.649 PACS numbers: 42.50.-p, 42.25.-p |