Multigrid eigenvalue solver for mode calculation of planar optical waveguides

Ramm, K. S.; Lüsse, P.; Unger, H.-G.

doi:10.1109/68.593368

Cited by 5 publications

(1 citation statement)

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“…116812, December -1175 method in the time domain has been applied to Maxwell's equations and the method has been studied from the mathematical point of view [10]. In regard to the optical propagation problem, the eigenvalue problem of a rib optical waveguide has been analyzed by the multigrid method and its effectiveness has been demonstrated [11].…”

Section: Introductionmentioning

confidence: 99%

Application of multigrid method to lightwave propagation in two‐dimensional optical waveguide

Yokota

Sugio

2003

Electron Comm Jpn Pt II

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SUMMARYThe multigrid method widely used in computational fluid dynamics is applied to the problem of propagation of an optical wave in an optical waveguide. This method is a technique for accelerating the convergence speed of the relaxation method. The electromagnetic field components contain various frequency components. Higher-frequency components contain local effects of the shape. On the other hand, the lower-frequency components contain more global aspects. By using this phenomenon, the discretized equations are made to reduce errors corresponding to the grid size. As a numerical example, linear and nonlinear directional couplers are treated and the effects of the number of levels and the number of iterations in the multigrid method are studied.

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Section: Introductionmentioning

confidence: 99%