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Application of wavelets on the interval to the analysis of thin-wire antennas and scatterers

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1 Author(s)
Gaofeng Wang ; Synopsys Inc., Mountain View, CA, USA

An analysis of thin-wire antennas and scatterers using orthogonal wavelets on interval [0,1] is presented. The thin-wire version of the electric-field integral equation (EFLE) is solved by the hybrid wavelet expansion and boundary element method (HWBM). Maps between the curved solution domains and the interval [0,1] are established by using the geometrical representation of the boundary element method (BEM). By virtue of these maps, bases over the curved solution domains are derived from orthogonal wavelets on [0,1] that are used to expand the unknown current over the wires. The utilization of the wavelets on [0,1] circumvents the difficulties in the application of the wavelets on the real line to finite-domain problems and has no periodicity constraint to the unknown function that is usually imposed by the periodic wavelets. Numerical examples are provided for a variety of thin-wire antennas and scatterers

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Antennas and Propagation, IEEE Transactions on  (Volume:45 ,  Issue: 5 )