A San Miguel et al 2009 Class. Quantum Grav. 26 235004 doi:10.1088/0264-9381/26/23/235004
A San Miguel, F Vicente and J-F Pascual-Sánchez
Show affiliationsThe 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.
04.25.Nx Post-Newtonian approximation; perturbation theory; related approximations
04.30.Nk Wave propagation and interactions
95.30.Sf Relativity and gravitation
04.20.Gz Spacetime topology, causal structure, spinor structure
Issue 23 (7 December 2009)
Received 24 May 2009, in final form 30 August 2009
Published 30 October 2009
A San Miguel et al 2009 Class. Quantum Grav. 26 235004
Chao Liu et al 2003 Phys. Med. Biol. 48 2437
M Hewitson (for the LIGO Scientific Collaboration) 2007 Class. Quantum Grav. 24 S445
A. Shalchi and A. Dosch 2008 ApJ 685 971
Chris J. Bennett and Ralf I. Kaiser 2007 ApJ 661 899
Douglas C. Leonard et al. 2001 ApJ 553 861
Stoytcho S Yazadjiev 2001 Class. Quantum Grav. 18 2105
J C Waerenborgh et al 2001 J. Phys.: Condens. Matter 13 8171
A. S. Evans 1998 ApJ 498 553
Daniel Christlein and Ann I. Zabludoff 2003 ApJ 591 764