February 2012
Beginner to intermediate
400 pages
9h 29m
English
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Appendix II
Dirac Delta Function
The Dirac delta function, δ(x), is not strictly a function, but a generalized function that is zero everywhere except at x = 0. We can define the Dirac delta function as a limit of a sequence of functions. The simplest way of defining it is to start with a rectangular pulse function with a unit area as shown in Fig. A-II.1. This function can be described as
If we take the limiting case where the width of the pulse becomes indefinitely small (a → 0) while the area of the pulse is kept constant, we obtain the Dirac delta function.
Thus, the Dirac delta function, (EBd)δ(x), can be used as a limiting case of the square ...
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