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# Determination of single mode condition in dielectric rib waveguide with large cross section by finite element analysis

Journal of Computational Electronics (Impact Factor: 1.01). 01/2007; 6(1):285-287. DOI: 10.1007/s10825-006-0124-4

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**ABSTRACT:**A z-stretching finite difference method is developed for simulating the paraxial light beam propagation through a lens in a cylindrically symmetric domain. By introducing a domain transformation in the z-direction, we solve the corresponding complex difference equations containing an interface singularity over a computational space for great simplicity and efficiency. A specially designed matrix analysis is constructed to the study the numerical stability. Computational experiments are carried out for demonstrating our results.Journal of Computational Physics 01/2008; 227(15):7264-7278. · 2.14 Impact Factor

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