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Title:
The theory of transparent gravitational lenses
Authors:
Bourassa, R. R.; Kantowski, R.
Affiliation:
AA(Oklahoma, University, Norman, Okla.), AB(Oklahoma, University, Norman, Okla.)
Publication:
Astrophysical Journal, vol. 195, Jan. 1, 1975, pt. 1, p. 13-21. Research supported by the University of Oklahoma. (ApJ Homepage)
Publication Date:
01/1975
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
Gravitational Effects, Lenses, Relativistic Effects, Astronomical Models, Galactic Structure, Gravitation Theory, Light Beams
DOI:
10.1086/153300
Bibliographic Code:
1975ApJ...195...13B

Abstract

The theory of transparent gravitational lenses is presented in this paper. All calculations are done within the framework of the linearized Einstein gravitation theory, the geometrical optics approximation, and the small-angle scattering approximation. We present a general expression for the bending angle of a light ray that goes around or through a bounded mass. This expression is used to calculate the locations, intensifications, distortions, orientations, and velocities of image seen around or through such masses. The above formulae are evaluated for deflectors with spheroidal volume mass densities and deflectors with elliptical surface mass densities. A simple volume mass density proportional to 1/a is used to illustrate the multiple imaging capabilities of a spheroidal deflector.

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