Sound propagation in a turbulent atmosphere near the ground: An approach based on the spectral representation of refractive-index fluctuations

2001 ◽  
Vol 109 (5) ◽  
pp. 1881-1893 ◽  
Author(s):  
Erik M. Salomons ◽  
Vladimir E. Ostashev ◽  
Steven F. Clifford ◽  
Richard J. Lataitis
Keyword(s):  
Refractive Index ◽  
Turbulent Atmosphere ◽  
Spectral Representation ◽  
Sound Propagation

scholarly journals Extra-wide-angle parabolic equations in motionless and moving media

2021 ◽  
Author(s):  
Vladimir Ostashev ◽  
Michael Muhlestein ◽  
D. Wilson
Keyword(s):  
Refractive Index ◽  
Parabolic Equations ◽  
Sound Propagation ◽  
Perturbation Technique ◽  
Integral Form ◽  
Spectral Domain ◽  
Wide Angle ◽  
Starting Point ◽  
Spectral Algorithm ◽  
Moving Media

Wide-angle parabolic equations (WAPEs) play an important role in physics. They are derived by an expansion of a square-root pseudo-differential operator in one-way wave equations, and then solved by finite-difference techniques. In the present paper, a different approach is suggested. The starting point is an extra-wide-angle parabolic equation (EWAPE) valid for small variations of the refractive index of a medium. This equation is written in an integral form, solved by a perturbation technique, and transformed to the spectral domain. The resulting split-step spectral algorithm for the EWAPE accounts for the propagation angles up to 90° with respect to the nominal direction. This EWAPE is also generalized to large variations in the refractive index. It is shown that WAPEs known in the literature are particular cases of the two EWAPEs. This provides an alternative derivation of the WAPEs, enables a better understanding of the underlying physics and ranges of their applicability, and opens an opportunity for innovative algorithms. Sound propagation in both motionless and moving media is considered. The split-step spectral algorithm is particularly useful in the latter case since complicated partial derivatives of the sound pressure and medium velocity reduce to wave vectors (essentially, propagation angles) in the spectral domain.

scholarly journals A numerical study of sound propagation through a turbulent atmosphere

1993 ◽  
Vol 93 (4) ◽  
pp. 2407-2407
Author(s):  
Daniel Juve ◽  
Philippe Blanc‐Benon ◽  
Patrick Chevret
Keyword(s):  
Turbulent Atmosphere ◽  
Sound Propagation ◽  
Numerical Study

Sound propagation in a turbulent atmosphere near the ground: A parabolic equation approach

2001 ◽  
Vol 109 (5) ◽  
pp. 1894-1908 ◽  
Author(s):  
Vladimir E. Ostashev ◽  
Erik M. Salomons ◽  
Steven F. Clifford ◽  
Richard J. Lataitis ◽  
D. Keith Wilson ◽  
...  
Keyword(s):  
Parabolic Equation ◽  
Turbulent Atmosphere ◽  
Sound Propagation ◽  
Equation Approach

Waveguide sound propagation in a turbulent atmosphere above a statistically rough surface of the ground

2011 ◽  
Vol 130 (4) ◽  
pp. 2514-2514
Author(s):  
Vladimir E. Ostashev ◽  
D. Keith Wilson ◽  
Sergey N. Vecherin
Keyword(s):  
Rough Surface ◽  
Turbulent Atmosphere ◽  
Sound Propagation
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