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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) |
Files in This Item:
File | Description | Size | Format | |
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1990 Proc Toulouse gravitational lending workshop p3.pdf Restricted Access | Restricted Access | 351.56 kB | Adobe PDF | View/Open Request a copy |
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