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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/2585

Title: Pictures of gravitational lensing
Authors: Nityananda, R.
Keywords: GEOMETRICAL OPTICS
GRAVITATIONAL LENSES
HAMILTONIAN FUNCTIONS
COORDINATES
CURVATURE
RAY TRACING
REFLECTION
WAVE FRONTS
Issue Date: 1990
Publisher: Springer Verlag
Citation: Gravitational lensing; Proceedings of the Workshop, Toulouse, France, Sept. 13-15, 1989, Berlin and New York, Springer-Verlag, 1990, p3-12
Abstract: Graphic descriptions of gravitational lensing are presented as a means to elaborate on a historical overview of the field. The time delay with respect to a reference plane, momentum, and gravitational deflection is considered in terms of the geometrical construction of images in lensing based on wavefronts. The seminal works of Fermat, Huyghens, Malus and Hamilton are listed; Refsdal's work (1964) is covered; and special attention is given to Arnold's work on catastrophe theory (1984), Schneider's amplification theorem (1984), and studies by Berry and Upstill (1980). The different approaches to lensing are illustrated for a simple two-dimensional case based on either rays, wavefronts, or phase space, which are then discussed mathematically. The principal directions of curvature are shown for a wavefront passing through a lens, and the behavior of critical lines near an umbilic point is discussed.
Description: Restricted Access.
URI: http://hdl.handle.net/2289/2585
Alternative Location: http://adsabs.harvard.edu/cgi-bin/bib_query?1990LNP...360....3N
Copyright: 1990 Springer-Verlag
Appears in Collections:Research Papers (A&A)

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