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Electromagnetic waves in dielectrics with memory

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We analyse electromagnetic wave propagation in a dielectric with memory of the Maxwell-Hopkinson type. We show that the components of the electric and magnetic fields satisfy two different scalar wave equations and we first look for their harmonic plane wave solutions. Then we prove that dielectrics with memory can also support approximate Courant-Hilbert waves. We discuss the equations to be solved to get all the components of the electromagnetic field from a scalar solution from each wave equation and TE, TM harmonic plane waves are explicitly given.

Document Type: Research Article


Affiliations: Institut Henri Poincaré, 86 Bis Route de Croissy, 78110 Le Vésinet, France

Publication date: 2004-12-01

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