Symplectic Integrators and the Problem of Wave Propagation in Layered Media

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In this paper numerical methods that preserve the symplectic structure of the Hamiltonian systems are considered. Hamiltonian is constructed for the propagation of electromagnetic waves in a strati?ed medium without any sources. Hamilton's equations are solved using symplectic second-order Runge-Kutta method.

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M Gevorkyan

Peoples' Friendship University of Russia

Email: mngevorkyan@sci.pfu.edu.ru
; Peoples' Friendship University of Russia

J Gladysheva

Peoples' Friendship University of Russia

Email: yglad19@gmail.com
; Peoples' Friendship University of Russia

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