On the transition from Weyl to Ricci focusing

Physics – Optics

Scientific paper

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Focusing, Geometrical Optics, Gravitational Lenses, Light Amplifiers, Spheres, Amplifier Design, Deflectors, Lens Design, Light Beams, Ray Tracing

Scientific paper

The description of the light amplification due to the Ricci focussing of rays in a beam by matter lying within the beam in terms of the Weyl focussing provided by the presence of matter outside the beam is examined for the case of a static gravitational lens composed of many small deflectors. In the weak-field approximation, it is shown that the net amplification resulting from small amplifications due to many small spherical deflectors bending light at their perimeters corresponds to the Ricci amplification where the source and observer are located well outside the lens.

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