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Ray tracing equations
http://sepwww.stanford.edu/public/docs/sep95/tariq1/paper_html/node13.html
Recall that pr2 = px2 + py2 . raysxz Figure 9 Raypaths (solid curves) and corresponding wavefronts (dashed curves) for an inhomogeneous VTI model with vv = v =1.5+0.5 z +0.2 x km/s and .The black curves correspond to a ratio of …
Acoustic Ray-Trace Equations for Seafloor Geodesy
https://www.researchgate.net/publication/233466101_Acoustic_Ray-Trace_Equations_for_Seafloor_Geodesy
The observed travel time is converted to the acoustic range according to the ray-tracing method with a sound velocity structure obtained by sound …
Acoustic Ray-Trace Equations for Seafloor Geodesy
https://www.semanticscholar.org/paper/Acoustic-Ray-Trace-Equations-for-Seafloor-Geodesy-Chadwell-Sweeney/343c57b70974c1a308164cffd6986484209527d2
One goal of seafloor geodesy is to measure horizontal deformation of the seafloor with millimeter resolution. A common technique precisely times an acoustic signal propagating between two points to estimate distance and then repeats the measurement over time. The accuracy of the distance estimate depends upon the travel time resolution, sound speed uncertainty, and the …
CHAPTER VII RAY ACOUSTICS 7.1 GENERAL …
https://niot.res.in/COAT/coat_pdf/CHAP%20VII%20-%20Ray%20Acoustics.pdf
Our starting point is the Helmholtz equation in Cartesian coordinates x ( , , )Ö x y z 2 2 2 s (x) (x) (x x )Ö Ö Ö Ö (x)Ö pp c Z G (7.1) where c(x)Ö is the sound speed and ω is the angular frequency of the source located at s Öx. To obtain the ray equation, we seek the solution of the Helmholtz equation in the form of (x)Ö 0 (x)Ö (x)Ö i j j j A
Comparison of an integral equation on energy and the ray …
https://pubmed.ncbi.nlm.nih.gov/11051500/
This paper deals with a comparison of two room acoustic models. The first one is an integral formulation stemming from power balance and the second is the ray-tracing technique with a perfectly diffuse reflection law. The common assumptions to both models are the uncorrelated wave hypothesis and the perfectly diffuse reflection law.
The Eigenray Acoustic Ray Tracing Code - University of Washington
https://staff.washington.edu/dushaw/AcousticsCode/EigenRay.html
The Eigenray Acoustic Ray Tracing Code . This is a page to download the source code for the "eigenray" ray propagation code for calculating the basic properties of rays over long ranges in deep water. Other hints for using this code and benchmarks can also be found here. Codes for Acoustic Propagation . RAM in Fortran 95.
Three‐dimensional acoustic‐ray tracing in an inhomogeneous …
https://asa.scitation.org/doi/abs/10.1121/1.1913331
Three‐dimensional ray‐tracing equations are presented for tracing acoustic rays in an inhomogeneous anisotropic atmosphere which are based on Hamilton's equations for geometrical optics. The equati...
Ray Tracing for Ocean Acoustic Tomography
http://oalib.hlsresearch.com/Rays/tech_report3.pdf
RAY EQUATIONS, OR EQUATIONS OF MOTION According to Bowlin et al. (1992):The equations of motion for a ray traveling through the ocean can be cast in Cartesian coordinates as follows: dθ dr = ∂rc c tanθ− ∂zc c (1a) dz dr =tanθ (1b) dt dr = secθ c (1c) where θis the angle of the ray with respect to the horizontalr axis, andz is the vertical
A Ray Tracing Approach to Calculate Acoustic ... - Silent' Aircraft
http://silentaircraft.org/object/download/1930/doc/2006_2618.pdf
Hereφi(Qe)istheincidentfieldatQeandDisthediffractioncoefficient given by2. D= exp(−iπ/4)νsin(νπ) √ 2πksinγ " 1 cosνπ−cosν(φ−φs) + 1 cosνπ−cosν(φ+φs) # (21) where γ is the oblique angle between the incident ray and the edge, ν = π/β is the wedge index. The other parameters are defined in Fig. 3.
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