Method of single expression: an exact solution for wavelength scale 1D photonic structure computer modeling

Hovik V. Baghdasaryan; Tamara M. Knyazyan

doi:10.1117/12.543337

15 December 2003 Method of single expression: an exact solution for wavelength scale 1D photonic structure computer modeling

Hovik V. Baghdasaryan, Tamara M. Knyazyan

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Proceedings Volume 5260, Applications of Photonic Technology 6; (2003) https://doi.org/10.1117/12.543337
Event: Applications of Photonic Technology, 2003, Quebec City, Québec, Canada

Abstract

The principles of the method of single expression (MSE) for boundary problems solution in classical electrodynamics are presented. In the MSE the solution of the Helmholtz's equation is presented in the special form of a single expression describing resultant amplitude and phase distributions in the medium. This form of solution presenation permits to pass over the restrictions of the superposition principle and to solve both linear and nonlinear problems with ths same ease. In the MSE the Helmholtz's equation is reformulated to the set of first order differential equations and the boundary problem is solved numerically. No approximations are implied either in Helmholtz's equation or in boundary conditions. Using the MSE steady-state boundary problems are modeled for wavelength scale multilayer and modulated 1D photonic structures including amplification and nonuniformity evoked by intense electromagnetic field.

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Hovik V. Baghdasaryan and Tamara M. Knyazyan "Method of single expression: an exact solution for wavelength scale 1D photonic structure computer modeling", Proc. SPIE 5260, Applications of Photonic Technology 6, (15 December 2003); https://doi.org/10.1117/12.543337

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