I have dealt quite a lot with the boundary value electrostatics problem with a plane or spherical conducting surface in an electric field due to a single electric charge or dipole. This can be conveniently done using the method of images. Method of images simplifies a lot of things. Jackson's book has a lot of material on this.(adsbygoogle = window.adsbygoogle || []).push({});

But I have never come across anything like that for non-conducting surfaces, like a wooden plate in an electric field or so. Green's theorem gives the theory for this, but there appears to be no definite solution for this problem. I need to solve this problem for some research, but have hit a major roadblock.

Is this problem of a non-conducting plane surface in an electric field even solvable using a method of images -like formulation? Can some subtle changes in the conducting plane counterpart be made to achieve this particular solution? Can someone direct me to a book or a paper or class notes etc. that solves this problem?

Thanks

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# Boundary value problem for non-conducting surface

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