Electromagnetic Potentials in a Heterogeneous Non-Conducting Medium Export

@article{NIsbet:PRSLA240:1957, abstract = {For electromagnetic fields in a stationary non-conducting medium (isotropic or anisotropic), whose dielectric constant and permeability are given point-functions, the general theory of representations in terms of scalar and vector potentials and of Hertzian potentials is developed. Differential equations relating these potentials to the sources of the field are obtained. Special cases are also treated of representations in terms of two scalars satisfying second-order differential equations. This paper contrasts with a recent alternative approach (Nisbet 1955 a), in which the properties of the medium were introduced through the electric and magnetic polarizations rather than the dielectric constant and permeability, and which led to integro-differential equations.}, author = {Nisbet, A.}, citeulike-article-id = {6081224}, citeulike-linkout-0 = {http://dx.doi.org/10.1098/rspa.1957.0092}, citeulike-linkout-1 = {http://rspa.royalsocietypublishing.org/content/240/1222/375.abstract}, citeulike-linkout-2 = {http://rspa.royalsocietypublishing.org/content/240/1222/375.full.pdf}, day = {11}, doi = {10.1098/rspa.1957.0092}, journal = {Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences}, keywords = {electrodynamics}, month = {June}, number = {1222}, pages = {375--381}, posted-at = {2009-11-06 16:22:37}, priority = {2}, title = {Electromagnetic Potentials in a Heterogeneous Non-Conducting Medium}, url = {http://dx.doi.org/10.1098/rspa.1957.0092}, volume = {240}, year = {1957} }

TY - JOUR ID - NIsbet:PRSLA240:1957 L3 - citeulike-article-id:6081224 N2 - For electromagnetic fields in a stationary non-conducting medium (isotropic or anisotropic), whose dielectric constant and permeability are given point-functions, the general theory of representations in terms of scalar and vector potentials and of Hertzian potentials is developed. Differential equations relating these potentials to the sources of the field are obtained. Special cases are also treated of representations in terms of two scalars satisfying second-order differential equations. This paper contrasts with a recent alternative approach (Nisbet 1955 a), in which the properties of the medium were introduced through the electric and magnetic polarizations rather than the dielectric constant and permeability, and which led to integro-differential equations. IS - 1222 JF - Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences EP - 381 TI - Electromagnetic Potentials in a Heterogeneous Non-Conducting Medium VL - 240 SP - 375 KW - electrodynamics AU - Nisbet, A PY - 1957/06/11/ UR - http://dx.doi.org/10.1098/rspa.1957.0092 ER -