2013
DOI: 10.1145/2513109.2513117
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Algorithm 934

Abstract: Software to compute angular and radial Mathieu functions is provided in the case that the parameter q is a complex variable and the independent variable x is real. After an introduction on the notation and the definitions of Mathieu functions and their related properties, Fortran 90 subroutines to compute them are described and validated with some comparisons. A sample application is also provided.

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Cited by 18 publications
(2 citation statements)
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“…Equation (13) is based on Mathieu functions and describes EM fields propagation along the elliptical waveguide 25 27 To obtain the complex propagation coefficient at different frequencies, we numerically solve the transcendental dispersion [Eq. (13)].…”
Section: Modelmentioning
confidence: 99%
“…Equation (13) is based on Mathieu functions and describes EM fields propagation along the elliptical waveguide 25 27 To obtain the complex propagation coefficient at different frequencies, we numerically solve the transcendental dispersion [Eq. (13)].…”
Section: Modelmentioning
confidence: 99%
“…According to Eqs. ( 18)-( 25), a set of linear algebraic equations can be obtained by using the point by point matching method [37] on the interface:…”
Section: Theoretical Modelmentioning
confidence: 99%