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Analytical and Computational Methods in Electromagnetics by Ramesh Garg

By Ramesh Garg

In attaining optimum microwave procedure functionality through learning the rules and strategies underlying modern day strong computational instruments and advertisement software program in electromagnetics. This authoritative source provides you with transparent and whole rationalization of this crucial electromagnetics wisdom, giving you the analytical heritage you must comprehend such key ways as mother (method of moments), FDTD (Finite distinction Time area) and FEM (Finite aspect Method), and Green's capabilities. This entire publication contains all math essential to grasp the fabric. in addition, it gains various solved difficulties that aid be sure your realizing of key options during the booklet.

To maintain you from being slowed down with complicated mathematical info (vector calculus) and coding, this accomplished quantity locations emphasis at the research of the scalar wave equation in Cartesian coordinates. The ebook additionally comprises a number of selection questions, acceptable for self learn or classes, that support make clear thoughts with none mathematical burden. filled with over 1,300 equations, many of the difficulties awarded within the publication may be solved utilizing not anything greater than calculator.

Software integrated

CD-ROM-Included! contains time-saving Matlab® resource code for the issues provided within the booklet that are simply changed that can assist you remedy comparable difficulties within the box.

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Extra resources for Analytical and Computational Methods in Electromagnetics

Example text

This example illustrates the simplicity with which we can determine a particular vector component. Unit vectors xˆ i are also called the basis vectors. 3 illustrates the meaning of projection graphically. Here, vector f is projected on x-axis to obtain its x-component f . xˆ . The idea of the expansion of an arbitrary vector in terms of basis vectors can be extended to functions also. Let us consider a function f (x) specified in the interval (a, b). We can expand this function in a set of orthogonal functions u i (x), i = 1, 2, 3, .

This method is limited to solving the Laplace equation in two dimensions and is discussed in Chapter 4. 4. Integral transforms may be used to solve the PDE. Fourier transform method is described in Chapter 5. 5. Computational methods. The development of high-speed computing machines has opened up a number of computational methods. Finite difference method (FDM), finite-difference time-domain (FDTD) method, finite element method (FEM), and method of moments (MoM), in this category, are discussed in the text.

56) and is called group velocity v g . 57) The transportation of energy therefore occurs with the speed of group velocity. 14 Charge and Current Singularities 19 We shall see later that the TEM wave suffers dispersion even in dispersionless medium when the wave equation is discretized for computational methods. This phenomenon is called numerical dispersion and is a characteristic feature of majority of computational methods. 62b) a where C 0 is the capacitance per unit length of the line, and C 0 is the capacitance with the dielectric replaced by air.

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