Add to ORKG© 2015, Pleiades Publishing, Ltd. In this article general solution to the Maxwell equations in spherical coordinates is constructed. The method of expansion of unknown functions into series of spherical harmonics is used. It is shown that the exterior boundary value problems for the Maxwell equations have the unique oriented solutions, and the interior boundary value problems have non-trivial solutions in the case of resonance. Necessary and sufficient solvability conditions of over-determined boundary value problems for the Maxwell equations are found
This paper is devoted to extend the spherical harmonics technique to the solution of parabolic diffe...
For spherically symmetric dielectric structures, a basis set composed of Bessel, Legendre and Fourie...
In this paper, the authors present a method to obtain an infinite number of interior solutions to Ei...
© 2015, Pleiades Publishing, Ltd. In this article general solution to the Maxwell equations in spher...
The necessary and sufficient conditions of solvability of the over-determined problems for the Maxwe...
It is noted that the known solution for a spherical electromagnetic wave does not satisfy the law of...
We present a systematic analysis of the integral operators of potential theory that arise when solvi...
There are many important problems related to spherical domains. Most common examples would be the Ea...
A general technique for solving Maxwell's equations exactly, based on expansion of the solution in a...
A scalar field method to obtain transverse solutions of the vector Laplace and Helmholtz equations i...
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/15...
We develop a solution theory for a generalized electro-magneto static Maxwell system in an exterior ...
summary:In this paper the method of spherical harmonics (MSH) is investigated, which is one of effec...
A study of the quantitative solutional approaches to boundary-value problems associated with terrest...
The electromagnetic wave diffraction problem on a thin conducting spherical screen is reduced to pai...
This paper is devoted to extend the spherical harmonics technique to the solution of parabolic diffe...
For spherically symmetric dielectric structures, a basis set composed of Bessel, Legendre and Fourie...
In this paper, the authors present a method to obtain an infinite number of interior solutions to Ei...
© 2015, Pleiades Publishing, Ltd. In this article general solution to the Maxwell equations in spher...
The necessary and sufficient conditions of solvability of the over-determined problems for the Maxwe...
It is noted that the known solution for a spherical electromagnetic wave does not satisfy the law of...
We present a systematic analysis of the integral operators of potential theory that arise when solvi...
There are many important problems related to spherical domains. Most common examples would be the Ea...
A general technique for solving Maxwell's equations exactly, based on expansion of the solution in a...
A scalar field method to obtain transverse solutions of the vector Laplace and Helmholtz equations i...
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/15...
We develop a solution theory for a generalized electro-magneto static Maxwell system in an exterior ...
summary:In this paper the method of spherical harmonics (MSH) is investigated, which is one of effec...
A study of the quantitative solutional approaches to boundary-value problems associated with terrest...
The electromagnetic wave diffraction problem on a thin conducting spherical screen is reduced to pai...
This paper is devoted to extend the spherical harmonics technique to the solution of parabolic diffe...
For spherically symmetric dielectric structures, a basis set composed of Bessel, Legendre and Fourie...
In this paper, the authors present a method to obtain an infinite number of interior solutions to Ei...