Problem 8: In electromagnetic scattering by an infinite cylinder of radius a, under certain conditions, the time-harmoni

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Problem 8 In Electromagnetic Scattering By An Infinite Cylinder Of Radius A Under Certain Conditions The Time Harmoni 1 (22.67 KiB) Viewed 18 times

Problem 8: In electromagnetic scattering by an infinite cylinder of radius a, under certain conditions, the time-harmonic electric field is given by E = u(p.) 2, where u satisfies the Helmholtz wave equation Ә2 и 1 ди 1 u + +k?u=0. до?рдер? ОФ2 0<p<a, 0 < < 2 u(0.) is finite, ula, 6) = pika cos (,0) = u(0, 2), u CP,0) = u (0,2) = where k is a constant. Solve it. Hint: Use the generating function of the Bessel function when obtaining the unknown coefficient.