Unique shape of uniformly polarizable dielectrics

A homogeneous isotropic dielectric body, placed in a uniform external electric field, will acquire a polarization P(r). If the body is an ellipsoid then P is uniform. A proof is presented showing that only ellipsoidal bodies have this property.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of mathematical physics 1987-04, Vol.28 (4), p.978-980
1. Verfasser:	Brownstein, K. R.
Format:	Artikel
Sprache:	eng
Schlagworte:	Condensed matter: electronic structure, electrical, magnetic, and optical properties Dielectric properties of solids and liquids Dielectrics, piezoelectrics, and ferroelectrics and their properties Exact sciences and technology Physics Polarization and depolarization
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	A homogeneous isotropic dielectric body, placed in a uniform external electric field, will acquire a polarization P(r). If the body is an ellipsoid then P is uniform. A proof is presented showing that only ellipsoidal bodies have this property.
ISSN:	0022-2488 1089-7658
DOI:	10.1063/1.527590