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Wavelets trong Electromagnetics và mô hình thiết bị P7

Wavelets in Scattering and Radiation In this chapter we examine scattering from 2D grooves using standard Coiflets, scattering from 2D and 3D objects, scattering and radiation of curved wire antennas, and scatterers employing Coifman intervallic wavelets. We provide the error estimate and convergence rate of the single-point quadrature formula based on Coifman scalets. We also introduce the smooth local cosine (SLC), which is referred to as the Malvar wavelet [1], as an alternative to the intervallic wavelets in handling bounded intervals. 7.1 SCATTERING FROM A 2D GROOVE The scattering of electromagnetic waves from a two-dimensional groove in an infinite conducting plane. | Wavelets in Electromagnetics and Device Modeling. George W. Pan Copyright 2003 John Wiley Sons Inc. ISBN 0-471-41901-X CHAPTER SEVEN Wavelets in Scattering and Radiation In this chapter we examine scattering from 2D grooves using standard Coiflets scattering from 2D and 3D objects scattering and radiation of curved wire antennas and scatterers employing Coifman intervallic wavelets. We provide the error estimate and convergence rate of the single-point quadrature formula based on Coifman scalets. We also introduce the smooth local cosine SLC which is referred to as the Malvar wavelet 1 as an alternative to the intervallic wavelets in handling bounded intervals. 7.1 SCATTERING FROM A 2D GROOVE The scattering of electromagnetic waves from a two-dimensional groove in an infinite conducting plane has been studied using a hybrid technique of physical optics and the method of moments PO-MoM 2 where pulses and Haar wavelets were employed to solve the integral equation. In this section we apply the same formulation as in 2 but implement the Galerkin procedure with the Coifman wavelets. We first evaluate the physical optics PO current on an infinite conducting plane 3 and then apply the hybrid method which solves for a local correction to the PO solution. In fact the unknown current is expressed by a superposition of the known PO current induced on an infinite conducting plane by the incident plane wave plus the local correction current in the vicinity of the groove. Because of its local nature the correction current decays rapidly and is essentially negligible several wavelengths away from a groove. Because of the rapidly decaying nature of the unknown correction current the Coiflets can be directly employed on a finite interval without any modification periodizing or intervallic treatment . Hence all advantages of standard wavelets including orthogonality vanishing moments MRA single-point quadrature and the like are preserved. The localized correction current is .