A fast finite difference frequency domain (FDFD) formulation for obtaining resonant frequencies of structures with perturbed rotational symmetry is described. The formulation combines a three-dimensional (3-D) eigenfunction function expansion algorithm with 3-D FDFD in the cylindrical coordinate system. Numerical tests have showed that the technique gives high accuracy results and significant CPU time reduction.

A new technique of numerical analysis of microstructured optical fibers is presented. The technique combines a standard 2D finite difference equations with the discrete function expansion. By doing this one gets a matrix eigenvalue problem of a smaller size and a simple formulation of radiation boundary condition. The new algorithm was tested for the microstructures of different types and excellent agreement of the obtained results with other methods was achieved.

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