A simple question in Electrodynamics is finding the scattering field of a dielectric sphere in constant electric field.
I'm interested in a simple generalization of the above question:
dielectric sphere in sinusoidal electric field.
This problem is much more usefull and even realistic.
And...
I got the following PDE:
Laplasian[F]+a*d(F)/d(teta)=E*F
I worked with cylindrical coordinates (r,teta,z)
(teta is the angle between the x-axis and the r vector (in xy plane))
a,E are constants
I got the constrains: z=0 r=a , so the whole problem is on a simple ring
How can I make...