Abstract
AbstractThe 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. © 2003 Wiley Periodicals, Inc. Electron Comm Jpn Pt 2, 86(7): 14–22, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ecjb.10131
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