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In this chapter we study the drift-diffusion (DD) model, which is the simplest version of the Boltzmann transport equation (BTE) coupled with Poisson's equation. The DD model has handled most engineering problems to date reasonably well. Having studied the DD model, we then use spherical expansion and Galerkin's method to solve the 1D BTE, obtaining more advanced information of hot carrier effects and ballistic transport for deep-submicron SMOS devices, or high-frequency compound semiconductor devices. [ABSTRACT FROM PUBLISHER]

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, as an alternative to the intervallic wavelets in handling bounded intervals. [ABSTRACT FROM PUBLISHER]

In this chapter we present applications of wavelets in solving integral equations. Special treatments of edges are discussed, including periodic wavelets and intervallic wavelets. The integral equations obtained from field analysis of electromagnetic wave scattering, radiating, and guiding problems are solved by the wavelet expansion method. [ABSTRACT FROM PUBLISHER]

This chapter introduces the simple replacement equations that are chosen in the Mathematica package. [ABSTRACT FROM PUBLISHER]

Details of the analysis of rainfall attenuation of microwave signals using oblate spheroidal raindrops are presented in this chapter. [ABSTRACT FROM PUBLISHER]

This chapter gives an overview on spheroidal wave functions as presented in the following nine chapters. [ABSTRACT FROM PUBLISHER]