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Books > Professional & Technical > Energy technology & engineering > Electrical engineering
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Mellin-Transform Method for Integral Evaluation - Introduction and Applications to Electromagnetics (Paperback)
Loot Price: R951
Discovery Miles 9 510
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Mellin-Transform Method for Integral Evaluation - Introduction and Applications to Electromagnetics (Paperback)
Series: Synthesis Lectures on Computational Electromagnetics
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This book introduces the Mellin-transform method for the exact
calculation of one-dimensional definite integrals, and illustrates
the application if this method to electromagnetics problems. Once
the basics have been mastered, one quickly realizes that the method
is extremely powerful, often yielding closed-form expressions very
difficult to come up with other methods or to deduce from the usual
tables of integrals. Yet, as opposed to other methods, the present
method is very straightforward to apply; it usually requires
laborious calculations, but little ingenuity. Two functions, the
generalized hypergeometric function and the Meijer G-function, are
very much related to the Mellin-transform method and arise
frequently when the method is applied. Because these functions can
be automatically handled by modern numerical routines, they are now
much more useful than they were in the past. The Mellin-transform
method and the two aforementioned functions are discussed first.
Then the method is applied in three examples to obtain results,
which, at least in the antenna/electromagnetics literature, are
believed to be new. In the first example, a closed-form expression,
as a generalized hypergeometric function, is obtained for the power
radiated by a constant-current circular-loop antenna. The second
example concerns the admittance of a 2-D slot antenna. In both
these examples, the exact closed-form expressions are applied to
improve upon existing formulas in standard antenna textbooks. In
the third example, a very simple expression for an integral arising
in recent, unpublished studies of unbounded, biaxially anisotropic
media is derived. Additional examples are also briefly discussed.
General
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