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Analytical and Computational Methods in Electromagnetics by Ramesh Garg

By Ramesh Garg

In achieving optimum microwave approach functionality by means of learning the rules and techniques underlying cutting-edge robust computational instruments and advertisement software program in electromagnetics. This authoritative source provide you with transparent and whole clarification of this crucial electromagnetics wisdom, giving you the analytical history you must comprehend such key ways as mother (method of moments), FDTD (Finite distinction Time area) and FEM (Finite aspect Method), and Green's features. This entire publication contains all math essential to grasp the fabric. additionally, it good points a number of solved difficulties that aid confirm your knowing of key thoughts in the course of the booklet.

To preserve you from being slowed down with complicated mathematical information (vector calculus) and coding, this complete quantity locations emphasis at the research of the scalar wave equation in Cartesian coordinates. The publication additionally comprises a number of selection questions, applicable for self research or classes, that support make clear innovations with none mathematical burden. jam-packed with over 1,300 equations, many of the difficulties awarded within the publication could 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 ebook which might be simply transformed that can assist you remedy related difficulties within the box.

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Sample text

18). 10c) is satisfied if B 2 = 0. 23) where A and k are arbitrary constants. 24) This equation is satisfied if we choose ka = m␲ , where m is an integer. Thus, the function ␸ (x, y) takes the following form: ␸ (x, y) = A sin ͩ ͪ ͩ ͪ m␲ x m␲ y sinh a a m = 1, 2, 3, . . 10). 26) This series satisfies the Laplace equation and three of the boundary conditions because each term of the series satisfies them. 27) is simply the Fourier series expansion of the constant V 0 in the interval 0 ≤ x ≤ a. 27) by sin (n␲ x /a) and integrating over the range of x.

The boundary conditions are used to determine the unknowns A n . Orthogonal function expansion or series expansion of ␸ (x, y, z) may be used when the method of separation of variables cannot be employed either due to the inseparability of variables or due to the boundary conditions [16, p. 78]. The availability of Green’s function is a very significant step in the development of analytical solution. The solution can be determined for various types of excitations once the Green’s function is known.

As shown, the analysis may be based on theoretical approach and/or experimental measurements. The theoretical analysis has the following advantages: • • • Analysis may be used to reduce the number of costly tests on prototypes by supporting the design process. Analysis may be used to ascertain the advantages as well as limitations of a configuration by carrying out parametric studies. Analysis can provide an understanding of the operating principles that could be useful for a new design, for modification of an existing design, and for the development of new configurations.

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