A method of variation of boundaries for waveguide grating couplers

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Abstract

We describe a method for calculating the solution of theelectromagnetic field in a non-rectilinear open waveguide by using aseries expansion, starting from the field of a rectilinearwaveguide. Our approach is based on a method of variation ofboundaries. We prove that the obtained series expansion convergesand we provide a radiation condition at infinity in such a way thatthe problem has a unique solution.Our approach can model several kinds of optical devices which areused in optical integrated circuits. Numerical examples will beshown for the case of finite aperiodic waveguide grating couplers.
Original languageItalian
Pages (from-to)1019-1040
Number of pages22
JournalApplicable Analysis
Volume87
Publication statusPublished - 2008

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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