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Numerical estimation of the curvature of a light wavefront in a weak gravitational field

A San Miguel et al 2009 Class. Quantum Grav. 26 235004 (15pp)   doi: 10.1088/0264-9381/26/23/235004  Help

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A San Miguel, F Vicente and J-F Pascual-Sánchez
Departamento de Matemática Aplicada, Facultad de Ciencias. Universidad de Valladolid, 47005 Valladolid, Spain
E-mail: asmiguel@maf.uva.es, fvicente@maf.uva.es and jfpascua@maf.uva.es

Abstract. The geometry of a light wavefront evolving in the 3-space associated with a post-Newtonian relativistic spacetime from a flat wavefront is studied numerically by means of the ray tracing method. For a discretization of the bidimensional wavefront, the surface fitting technique is used to determine the curvature of this surface at each vertex of the mesh. The relationship between the curvature of a wavefront and the change of the arrival time at different points on the Earth is also numerically discussed.

PACS numbers: 04.30.Nk, 02.60.Cb, 04.25.Nx

Print publication: Issue 23 (7 December 2009)
Received 24 May 2009, in final form 30 August 2009
Published 30 October 2009

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