## Abstract

We study nonlinear dielectrics obeying D = ε{lunate}(E^{2})^{β/2}E. The solution to the eletrostatic equations is found to be unique for ∞ α = 1/(β + 1) 1/(d - 1). We find the electrostatic fields produced by a point charge and by an infinite charged slab in such a medium. Two definitions of the effective dielectric constant, ε{lunate}_{eff}, are shown to coincide. For the case where ε{lunate} varies in space we show that the differential equation for the first correction to the potential field is dipolar in scaled coordinates. We use the first correction to bound ε{lunate}_{eff}. Finally we formulate the explicit time dependent equations that describe the dynamic behavior of the magnetic and electric fields in such materials.

Original language | English |
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Pages (from-to) | 428-436 |

Number of pages | 9 |

Journal | Physica A: Statistical Mechanics and its Applications |

Volume | 157 |

Issue number | 1 |

DOIs | |

State | Published - 1 May 1989 |