Application of biorthogonal interpolating wavelets to the Galerkin scheme of time dependent Maxwell's equations
- 1 January 2001
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Microwave and Wireless Components Letters
- Vol. 11 (1) , 22-24
- https://doi.org/10.1109/7260.905956
Abstract
A family of biorthogonal interpolating wavelets has been applied to time-domain electromagnetic field modeling through the wavelet-Galerkin scheme. The scaling functions are the Deslauriers-Dubuc interpolating functions and the wavelets are the shifted and contracted version of the scaling functions. This set of bases yields a simple algorithm for the solution of Maxwell's equations in time domain due to their interpolation properties. The derivation of the algorithm is presented in this paper, followed by a series of numerical verifications on some resonant structures.Keywords
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