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Title: Non-Hermitian Hamiltonian Approach for Electromagnetic Wave Propagation and Dissipation tn Dielectric Media
Authors: Zloshchastiev, Konstantin G. 
Keywords: Electromagnetic wave propagation;Non­Hermitian Hamiltonians;Density operator;Open systems
Issue Date: Jun-2016
Publisher: IEEE
Source: Zloshchastiev, K. G. 2016. Non-Hermitian Hamiltonian Approach for Electromagnetic Wave Propagation and Dissipation tn Dielectric Media.2016 9th International Kharkiv Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves (MSMW) :
Using the formal analogy between a certain class of Maxwell equations and the Schrdinger equation, we derive the effective Hamiltonian operator that governs the propagation of electromagnetic (EM) wave modes inside nonconducting lin­ear media, which include a large range of nanophotonic and plasmonic waveguides. It turns out that this Hamiltonian is essentially non-Hermitian, and thus requires a special treatment. We formulate the density operator approach for dynamical systems with non-Hermitian Hamiltonians, and derive a master equation that describes the statistical ensembles of EM wave modes. The method provides a theoretical instrument which can be used when designing the next generation of quantum EM devices for sensitive and non-invasive measurements.
ISBN: 978-1-5090-2267-0 (online)
978-1-5090-2266-3 (CD-ROM)
978-1-5090-2268-7 (print)
Appears in Collections:Research Publications (Systems Science)

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