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Fast calculation of combinations of arbitrary-order cylindrical functions arising in analyses of slotted structures

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2 Author(s)
Serebryannikov, A.E. ; Hamburg-Harburg Univ. of Technol., Hamburg, Germany ; Schuenemann, K.F.

A fast method is suggested to approximately calculate the combinations of cylindrical functions of noninteger-order (CCFN), which are met in eigenvalue and scattering problems, for various structures treated in cylindrical coordinates. The method is based on low-order interpolation using known values of the combinations of integer- and semi-integer-order cylindrical functions, which are mostly obtained from recurrent formulas. The presented numerical results demonstrate the potentials of the suggested method to calculate a separate CCFN and the cutoff wavenumbers of a slotted structure, whose characteristic matrix contains such CCFNs.

Published in:

Microwave and Wireless Components Letters, IEEE  (Volume:15 ,  Issue: 11 )