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ECE 6382. Applications of Bessel Functions. D. R. Wilton ECE Dept. z -Independent Circular Cylinder Modes – Dirichlet Case. J n ( x ). ( n  0 ). x. z -Independent Circular Cylinder Modes (cont.). m= 3. m= 2. ( n  0 ). m= 4. m= 1. a.
 
                
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ECE 6382 Applications of Bessel Functions D. R. Wilton ECE Dept.
Jn(x) (n  0) x z-Independent Circular Cylinder Modes(cont.)
m=3 m=2 (n  0) m=4 m=1 a z-Independent Circular Cylinder Modes(cont.)
Jn(x) (n  0) x Neumann Circular Cylinder Modes(cont.)
m=3 m=2 (n  0) m=4 m=1 a Neumann Circular Cylinder Modes(cont.)
Circular Cylinder Modes Propagating in the +z Direction (cont.)
Circular Cylinder Modes Propagating in the +z Direction (cont.)
Circular Cylinder Modes Propagating in the +z Direction (cont.)
Circular Cylinder Modes Propagating in the +z Direction (cont.)
x Plane Wave Scattering by a Circular Cylinder(Dirichlet Case)
x Plane Wave Scattering by a Circular Cylinder(Dirichlet Case) (cont.)