On the strength distribution of a field created by randomly distributed dipoles

Autor:	S. G. Rautian
Rok vydání:	2006
Předmět:	Physics business.industry Mathematical analysis Polarization (waves) Atomic and Molecular Physics and Optics Spectral line Electronic Optical and Magnetic Materials symbols.namesake Dipole Fourier transform Stark effect symbols Probability distribution Cutoff Photonics business
Zdroj:	Optics and Spectroscopy. 100:739-747
ISSN:	1562-6911 0030-400X
DOI:	10.1134/s0030400x0605016x
Popis:	The probability distribution of the strength of a field created by parallel dipoles arranged randomly, on average, uniformly is considered. The problem of divergence at small distances is analyzed. It is shown that, for any, including an arbitrarily small, number of dipoles e in the cutoff sphere, the average field value is zero. In the case e ≪ 1, the field distribution consists of a central part, whose half-width is of an order of the average polarization of a medium, and a very wide and structured background. An interpolation formula for the Fourier image of the field distribution applicable for arbitrary values of e is proposed. An analogy with the theory of spectral line broadening is established. The connection with the problems of molecular optics and inhomogeneous Stark broadening of spectral lines is discussed.
Databáze:	OpenAIRE
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