Journal of applied mathematics & informatics
- Volume 25 Issue 1_2
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- Pages.315-327
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- 2007
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
SURFACE-WAVE PROPAGATION THROUGH A METAL GAP WITH THE DIELECTRIC CORE SUBDIVIDED INTO MULTIPLE THIN FILMS
- Mok, Jin-Sik (Department of Mathematics, Sunmoon University) ;
- Lee, Hyoung-In (Micro Sysems Laboratory, Samsung Advanced Institute of Technology)
- Published : 2007.09.30
Abstract
Mathematical aspects of the electromagnetic surface-wave propagation are examined for the dielectric core consisting of multiple sub-layers, which are embedded in the gap between the two bounding cladding metals. For this purpose, the linear problem with a partial differential wave equation is formulated into a nonlinear eigenvalue problem. The resulting eigenvalue is found to exist only for a certain combination of the material densities and the number of the multiple sub-layers. The implications of several limiting cases are discussed in terms of electromagnetic characteristics.
Keywords
- Wave equation;
- equations of electromagnetic theory and optics;
- asymptotic distribution of eigenvalues and eigenfunctions for PDE;
- composite media;
- random media