Paraxial ray tracing in gradient-index (GRIN) media: problems of convergence

1992 ◽  
Vol 9 (2) ◽  
pp. 331 ◽  
Author(s):  
G. Smith
Keyword(s):  
Ray Tracing ◽  
Gradient Index ◽  
Paraxial Ray

Amplitude, Fresnel zone, and NMO velocity for PP and SS normal-incidence reflections

Geophysics ◽  
2006 ◽  
Vol 71 (2) ◽  
pp. W1-W14 ◽  
Author(s):  
Einar Iversen
Keyword(s):  
Phase Shift ◽  
Ray Tracing ◽  
Explicit Knowledge ◽  
Fresnel Zone ◽  
Normal Wave ◽  
Normal Incidence ◽  
Geometric Spreading ◽  
Dynamic Ray Tracing ◽  
The One ◽  
Paraxial Ray

Inspired by recent ray-theoretical developments, the theory of normal-incidence rays is generalized to accommodate P- and S-waves in layered isotropic and anisotropic media. The calculation of the three main factors contributing to the two-way amplitude — i.e., geometric spreading, phase shift from caustics, and accumulated reflection/transmission coefficients — is formulated as a recursive process in the upward direction of the normal-incidence rays. This step-by-step approach makes it possible to implement zero-offset amplitude modeling as an efficient one-way wavefront construction process. For the purpose of upward dynamic ray tracing, the one-way eigensolution matrix is introduced, having as minors the paraxial ray-tracing matrices for the wavefronts of two hypothetical waves, referred to by Hubral as the normal-incidence point (NIP) wave and the normal wave. Dynamic ray tracing expressed in terms of the one-way eigensolution matrix has two advantages: The formulas for geometric spreading, phase shift from caustics, and Fresnel zone matrix become particularly simple, and the amplitude and Fresnel zone matrix can be calculated without explicit knowledge of the interface curvatures at the point of normal-incidence reflection.

Ray tracing simulation of aero-optical effect using multiple gradient index layer

2016 ◽  
Author(s):  
Seul Ki Yang ◽  
Sehyun Seong ◽  
Dongok Ryu ◽  
Sug-Whan Kim ◽  
Hyeuknam Kwon ◽  
...  
Keyword(s):  
Ray Tracing ◽  
Gradient Index ◽  
Optical Effect ◽  
Ray Tracing Simulation

Ray tracing through gradient-index media: recent improvements

1990 ◽  
Vol 29 (28) ◽  
pp. 4026 ◽  
Author(s):  
Sead Dorić
Keyword(s):  
Ray Tracing ◽  
Gradient Index

Calculation and optimization of Narcissus using paraxial ray tracing

1996 ◽  
Vol 35 (16) ◽  
pp. 3059 ◽  
Author(s):  
S. J. Dobson ◽  
A. Cox ◽  
K. Lu
Keyword(s):  
Ray Tracing ◽  
Paraxial Ray

scholarly journals Ray-tracing simulations of liquid-crystal gradient-index lenses for three-dimensional displays

2009 ◽  
Vol 26 (11) ◽  
pp. 2035 ◽  
Author(s):  
Maarten Sluijter ◽  
Angie Herzog ◽  
Dick K. G. de Boer ◽  
Marcel P. C. M. Krijn ◽  
H. Paul Urbach
Keyword(s):  
Liquid Crystal ◽  
Ray Tracing ◽  
Three Dimensional ◽  
Gradient Index
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