Review of gravitational-lens theory

Physics – Optics

Scientific paper

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Astronomical Models, Cosmology, Gravitational Lenses, Galaxies, Geometrical Optics, Light Transmission, Luminosity, Mass Distribution, Relativity

Scientific paper

The current models of theoretical gravitational lensing are discussed within the larger context of cosmological theory. Consideration is given to the problem of light propagation in a Universe where matter is not smoothly distributed. Theoretical solutions developed by Zel'dovich (1964) and Dyer and Roeder (1973) for the problem of the relation between spectral index and angular-diameter distance are reviewed according to an isotropic cosmological model. The geometric characteristics of a single lens with a spherically symmetric mass distribution are described, and some equations for determining the extent of the alignment between lens and object are presented. The role of time delays, polarization, diffraction, selection effects, and quasar-galaxy associations in influencing observations of gravitational lensing are also discussed. Emphasis is given to the need for improved numerical techniques for analyzing lensing effects.

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