### 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 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Physical Review E*,

*69*(1 2), 166071-166078. [016607].

**Reference-wave solution for the two-frequency propagator in a statistically homogeneous random medium.** / Bronshtein, Alexander; Lu, I-Tai; Mazar, Reuven.

Research output: Contribution to journal › Article

*Physical Review E*, vol. 69, no. 1 2, 016607, pp. 166071-166078.

}

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 -