NDLI: Simplified method of numerical simulation of eigenmodes in two-dimensional media

Content Provider	IEEE Xplore Digital Library
Author	Briskina, C.M. Ryzhkov, M.V. Markushev, V.M.
Copyright Year	2005
Description	Author affiliation: Inst. of Radio Eng., & Electron., Russian Acad. of Sci., Moscow (Briskina, C.M.; Ryzhkov, M.V.; Markushev, V.M.)
Abstract	Simplified method of eigenmodes simulation in two-dimensional (2D) media based on numerical solution of the stationary wave equation with a given distribution of dielectric permittivity is suggested. By means of discretization the wave equation was reduced to the system of homogeneous linear equations, for that the eigenvalue problem was worked out. The eigenvalues $alpha=(2pib/lambda)^{2},$ where b is the distance between the nodes of discretization, lambda - the wavelength, were determined and the distribution of relative field amplitudes was calculated. 2D media (ordered and random) were simulated by matrix whose elements take on two different values. One of them corresponds to dielectric permittivity of the material particles, the other to permittivity of the spaces between them. All calculations were made using MATLAB. Different variants of ordered and random media were examined. It was shown that localized modes exist only in disordered systems in a limited range of ratio b/lambda. The dependence of modes character on the value of filling ratio and dielectric permittivity is estimated
Sponsorship	IEEE/LEOS Ukraine Chapter IEEE/AP/MTT/ED/AES/GRS/NPS/EMB East Ukraine Joint Chapter Sci. and Technol. Center in Ukraine, STCU
Starting Page	72
Ending Page	75
File Size	1834388
Page Count	4
File Format	PDF
ISBN	0780391470
DOI	10.1109/LFNM.2005.1553193
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-09-15
Publisher Place	Ukraine
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Numerical simulation Permittivity Dielectrics Eigenvalues and eigenfunctions Random media Partial differential equations Laser modes Laser theory MATLAB Resonance
Content Type	Text
Resource Type	Article

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