D. R. Wilton ECE Dept. ECE 6382 Applications of Bessel Functions.

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D. R. Wilton ECE Dept. ECE 6382 Applications of Bessel Functions

z-Independent Circular Cylinder Modes – Dirichlet Case

z-Independent Circular Cylinder Modes (cont.) x Jn(x)Jn(x) (n  0 )

z-Independent Circular Cylinder Modes (cont.) (n  0 ) a m=1 m=2 m=3 m=4

z-Independent Circular Cylinder Modes (cont.)

Neumann B.C. Circular Cylinder Modes

Neumann Circular Cylinder Modes (cont.) x Jn(x)Jn(x) (n  0 )

Neumann Circular Cylinder Modes (cont.) (n  0 ) a m=1 m=2 m=3 m=4

Circular Cylinder Modes Propagating in the +z Direction

Circular Cylinder Modes Propagating in the +z Direction (cont.)

Plane Wave Scattering by a Circular Cylinder (Dirichlet Case) x

Plane Wave Scattering by a Circular Cylinder (Dirichlet Case) (cont.) x