Wavelets for Elliptical Waveguide Problems
MMS Lira, HM de Oliveira, RJ Cintra… - arXiv preprint arXiv …, 2015 - arxiv.org
arXiv preprint arXiv:1504.05262, 2015•arxiv.org
New elliptic cylindrical wavelets are introduced, which exploit the relationship between
analysing filters and Floquet's solution of Mathieu differential equations. It is shown that the
transfer function of both multiresolution filters is related to the solution of a Mathieu equation
of odd characteristic exponent. The number of notches of these analysing filters can be
easily designed. Wavelets derived by this method have potential application in the fields of
optics, microwaves and electromagnetism.
analysing filters and Floquet's solution of Mathieu differential equations. It is shown that the
transfer function of both multiresolution filters is related to the solution of a Mathieu equation
of odd characteristic exponent. The number of notches of these analysing filters can be
easily designed. Wavelets derived by this method have potential application in the fields of
optics, microwaves and electromagnetism.
New elliptic cylindrical wavelets are introduced, which exploit the relationship between analysing filters and Floquet's solution of Mathieu differential equations. It is shown that the transfer function of both multiresolution filters is related to the solution of a Mathieu equation of odd characteristic exponent. The number of notches of these analysing filters can be easily designed. Wavelets derived by this method have potential application in the fields of optics, microwaves and electromagnetism.
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