Abstract
A reference-wave method was presented and its performance was demonstrated by solving the parabolic equation governing the propagation of the two-frequency mutual coherence function. Distortions were caused in the propagating signal, particularly in pulse broadening and time delay by the dispersive properties of random media. The method was accompanied by the introduction of additional coordinates, and was based on embedding the problem into a higher-dimensional space. It was found that the solution of the product measure decouples into two two-frequency coherence functions in the absence of scattering and the expression for the reference wave could be obtained from the unperturbed equation.
| Original language | English (US) |
|---|---|
| Article number | 016607 |
| Pages (from-to) | 166071-166078 |
| Number of pages | 8 |
| Journal | Physical Review E |
| Volume | 69 |
| Issue number | 1 2 |
| State | Published - Jan 2004 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Mathematical Physics
Cite this
Reference-wave solution for the two-frequency propagator in a statistically homogeneous random medium. / Bronshtein, Alexander; Lu, I-Tai; Mazar, Reuven.
In: Physical Review E, Vol. 69, No. 1 2, 016607, 01.2004, p. 166071-166078.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Reference-wave solution for the two-frequency propagator in a statistically homogeneous random medium
AU - Bronshtein, Alexander
AU - Lu, I-Tai
AU - Mazar, Reuven
PY - 2004/1
Y1 - 2004/1
N2 - A reference-wave method was presented and its performance was demonstrated by solving the parabolic equation governing the propagation of the two-frequency mutual coherence function. Distortions were caused in the propagating signal, particularly in pulse broadening and time delay by the dispersive properties of random media. The method was accompanied by the introduction of additional coordinates, and was based on embedding the problem into a higher-dimensional space. It was found that the solution of the product measure decouples into two two-frequency coherence functions in the absence of scattering and the expression for the reference wave could be obtained from the unperturbed equation.
AB - A reference-wave method was presented and its performance was demonstrated by solving the parabolic equation governing the propagation of the two-frequency mutual coherence function. Distortions were caused in the propagating signal, particularly in pulse broadening and time delay by the dispersive properties of random media. The method was accompanied by the introduction of additional coordinates, and was based on embedding the problem into a higher-dimensional space. It was found that the solution of the product measure decouples into two two-frequency coherence functions in the absence of scattering and the expression for the reference wave could be obtained from the unperturbed equation.
UR - http://www.scopus.com/inward/record.url?scp=17144450083&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=17144450083&partnerID=8YFLogxK
M3 - Article
VL - 69
SP - 166071
EP - 166078
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 1 2
M1 - 016607
ER -