Reference-wave solution for the two-frequency propagator in a statistically homogeneous random medium

Alexander Bronshtein, I-Tai Lu, Reuven Mazar

Research output: Contribution to journalArticle

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 languageEnglish (US)
Article number016607
Pages (from-to)166071-166078
Number of pages8
JournalPhysical Review E
Volume69
Issue number1 2
StatePublished - Jan 2004

Fingerprint

Random Media
Propagator
Product Measure
propagation
embedding
Parabolic Equation
Time Delay
High-dimensional
time lag
Scattering
Propagation
products
pulses
scattering

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 journalArticle

Bronshtein, Alexander ; Lu, I-Tai ; Mazar, Reuven. / Reference-wave solution for the two-frequency propagator in a statistically homogeneous random medium. In: Physical Review E. 2004 ; Vol. 69, No. 1 2. pp. 166071-166078.
@article{32ae040963fb43b6a515aaa2b9df8c19,
title = "Reference-wave solution for the two-frequency propagator in a statistically homogeneous random medium",
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.",
author = "Alexander Bronshtein and I-Tai Lu and Reuven Mazar",
year = "2004",
month = "1",
language = "English (US)",
volume = "69",
pages = "166071--166078",
journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",
issn = "1539-3755",
publisher = "American Physical Society",
number = "1 2",

}

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 -