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Fourier decomposition method applied to mapped infinite domains: scalar analysis of dielectric waveguides down to modal cutoff

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2 Author(s)
Hewlett, S.J. ; Inst. of Adv. Studies, Australian Nat. Univ., Canberra, ACT, Australia ; Ladouceur, F.

By transforming the infinite x-y plane onto a unit square and using two-dimensional Fourier series expansions, the modal fields and propagation constants of dielectric waveguides are accurately determined within the scalar (weak-guidance) regime. The new method is reliable down to modal cutoff and gives cutoff V-values directly. Numerical cutoff values for the LP11 modes of square- and rectangular-core waveguides are determined as a function of core aspect ratio, and are found to agree with those obtained by the finite element method to within 0.1%

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Lightwave Technology, Journal of  (Volume:13 ,  Issue: 3 )