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Dynamics at the Horsetooth, Volume 2A, Focussed Issue:Asymptotics and PerturbationsAsymptotic Expansion of Bessel functions ; Applications to ElectromagneticsNada SekeljicDepartment of Electrical EngineeringColorado State submitted to Prof. I. Oprea for Math 676, Fall function is defined as particular solution of a linear differentialequation of the second order known as Bessel s equation. This equation is oftenused as model of real physical problems. For instance, separation of the waveequation (wave equation in complex domain is called Helmholtz equation) in cylindricalcoordinate system leads to Bessel s equation. Besides regular series Expansion of theBessel functions , this paper extends to Asymptotic analysis based on contour integralrepresentation of Hankel : Bessel functions , Asymptotic Expansion , Electromagnetics1 IntroductionAlthough, there are different approaches, Bessel functions of the first kind are introduced inSection 2 by means of a generating function.
Asymptotic Expansion of Bessel Functions; Applications to Electromagnetics Nada Sekeljic where Jn(z) are Bessel functions of the flrst kind, of order n (n is an integer). Expanding the exponentials, we have a product of two absolutely convergent series in …
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