Add to ORKGA scalar field method to obtain transverse solutions of the vector Laplace and Helmholtz equations in spherical coordinates for boundary-value problems with azimuthal symmetry is described. Neither scalar nor vector potentials are used. Solutions are obtained by use of separation of variables instead of dyadic Green's functions expanded in terms of vector spherical harmonics. Applications to the calculations of magnetic fields from steady and oscillating localized current distributions are presented
The Helmholtz equation often arises in the study of physical problems involving partial differential...
The equations of hydromagnetics appropriate for an incompressible inviscid fluid of finite electrica...
Abstract An alternative and somewhat systematic definition of the vector spherical harmonics, in ana...
Laplace’s equation is considered for scalar and vector potentials describing electric or magnetic fi...
© 2015, Pleiades Publishing, Ltd. In this article general solution to the Maxwell equations in spher...
Abstract—The surface Green’s function belonging to the non-spheri-cal exterior boundary value proble...
A study of the quantitative solutional approaches to boundary-value problems associated with terrest...
A general technique for solving Maxwell's equations exactly, based on expansion of the solution in a...
The usual method of separation of variables to find a basis of solutions of Laplace's equation in to...
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/15...
A robustly accurate and effective method is presented to solve Laplace`s equation in general azimuth...
The skew symmetric tensors satisfying the general criterion of spherical symmetry, derived in Part I...
A thesis Submitted in Partial Fulfillment of the Requirements for the Degree of MASTER OF SCIENCE in...
Expressions for the direct calculation of the spherical harmonics of a magnetic field, generated by ...
Maxwell's vector wave equations are solved for dielectric configurations that match the symmetry of ...
The Helmholtz equation often arises in the study of physical problems involving partial differential...
The equations of hydromagnetics appropriate for an incompressible inviscid fluid of finite electrica...
Abstract An alternative and somewhat systematic definition of the vector spherical harmonics, in ana...
Laplace’s equation is considered for scalar and vector potentials describing electric or magnetic fi...
© 2015, Pleiades Publishing, Ltd. In this article general solution to the Maxwell equations in spher...
Abstract—The surface Green’s function belonging to the non-spheri-cal exterior boundary value proble...
A study of the quantitative solutional approaches to boundary-value problems associated with terrest...
A general technique for solving Maxwell's equations exactly, based on expansion of the solution in a...
The usual method of separation of variables to find a basis of solutions of Laplace's equation in to...
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/15...
A robustly accurate and effective method is presented to solve Laplace`s equation in general azimuth...
The skew symmetric tensors satisfying the general criterion of spherical symmetry, derived in Part I...
A thesis Submitted in Partial Fulfillment of the Requirements for the Degree of MASTER OF SCIENCE in...
Expressions for the direct calculation of the spherical harmonics of a magnetic field, generated by ...
Maxwell's vector wave equations are solved for dielectric configurations that match the symmetry of ...
The Helmholtz equation often arises in the study of physical problems involving partial differential...
The equations of hydromagnetics appropriate for an incompressible inviscid fluid of finite electrica...
Abstract An alternative and somewhat systematic definition of the vector spherical harmonics, in ana...