Line integral representation of physical optics scattering from a perfectly conducting plate illuminated by a Gaussian beam modeled as a complex point source

2003 ◽  
Vol 51 (10) ◽  
pp. 2793-2800 ◽  
Author(s):  
E. Martini ◽  
G. Pelosi ◽  
S. Selleri
Keyword(s):  
Integral Representation ◽  
Point Source ◽  
Gaussian Beam ◽  
Physical Optics ◽  
Line Integral ◽  
Complex Point ◽  
Conducting Plate ◽  
Complex Point Source

scholarly journals A complex point-source solution of the acoustic eikonal equation for Gaussian beams in transversely isotropic media

Geophysics ◽  
2020 ◽  
Vol 85 (3) ◽  
pp. T191-T207
Author(s):  
Xingguo Huang ◽  
Hui Sun ◽  
Zhangqing Sun ◽  
Nuno Vieira da Silva
Keyword(s):  
Point Source ◽  
Eikonal Equation ◽  
Taylor Series Expansion ◽  
Transversely Isotropic ◽  
Complex Point ◽  
Transversely Isotropic Media ◽  
Isotropic Media ◽  
Anisotropy Parameters ◽  
Complex Point Source ◽  
Complex Eikonal

The complex traveltime solutions of the complex eikonal equation are the basis of inhomogeneous plane-wave seismic imaging methods, such as Gaussian beam migration and tomography. We have developed analytic approximations for the complex traveltime in transversely isotropic media with a titled symmetry axis, which is defined by a Taylor series expansion over the anisotropy parameters. The formulation for the complex traveltime is developed using perturbation theory and the complex point-source method. The real part of the complex traveltime describes the wavefront, and the imaginary part of the complex traveltime describes the decay of the amplitude of waves away from the central ray. We derive the linearized ordinary differential equations for the coefficients of the Taylor-series expansion using perturbation theory. The analytical solutions for the complex traveltimes are determined by applying the complex point-source method to the background traveltime formula and subsequently obtaining the coefficients from the linearized ordinary differential equations. We investigate the influence of the anisotropy parameters and of the initial width of the ray tube on the accuracy of the computed traveltimes. The analytical formulas, as outlined, are efficient methods for the computation of complex traveltimes from the complex eikonal equation. In addition, those formulas are also effective methods for benchmarking approximated solutions.

Diffraction by a perfectly conducting wedge illuminated by a complex point source

2019 ◽  
Vol 62 (3) ◽  
pp. 979-983
Author(s):  
Gian Guido Gentili ◽  
Giuseppe Pelosi ◽  
Monica Righini ◽  
Stefano Selleri
Keyword(s):  
Point Source ◽  
Complex Point ◽  
Complex Point Source
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