The Moliere Approximation for Wave Propagation in Turbulent Media
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Report Number: RM-6325-ARPA
Author(s): Modesitt, G.
Corporate Author(s): The Rand Corporation
Date of Publication: 1970-09
Contract: DAHC15 67 C 0141
DoD Task:
Identifier: AD0712456
Abstract:
By direct analogy with a method developed by Schiff to solve the Schrödinger equation for high energy potential scattering, it is possible to solve the equation for wave propagation in a turbulent medium in a manner which explicitly demonstrates that the solution so obtained is correct to all orders in the refractive index deviation and to lowest order in the stationary phase approximation. Although the solution is readily extended to next order in stationary phase, such an extension is recognized in scattering theory as unwarranted since it neglects terms of the same order from outside the region of stationary phase. The conventional "Born" and "Rytov" solutions widely adopted in propagation theory are of questionable validity since they represent approximations (first order in refractive index deviation) to the extended solution.
Author(s): Modesitt, G.
Corporate Author(s): The Rand Corporation
Date of Publication: 1970-09
Contract: DAHC15 67 C 0141
DoD Task:
Identifier: AD0712456
Abstract:
By direct analogy with a method developed by Schiff to solve the Schrödinger equation for high energy potential scattering, it is possible to solve the equation for wave propagation in a turbulent medium in a manner which explicitly demonstrates that the solution so obtained is correct to all orders in the refractive index deviation and to lowest order in the stationary phase approximation. Although the solution is readily extended to next order in stationary phase, such an extension is recognized in scattering theory as unwarranted since it neglects terms of the same order from outside the region of stationary phase. The conventional "Born" and "Rytov" solutions widely adopted in propagation theory are of questionable validity since they represent approximations (first order in refractive index deviation) to the extended solution.