volume | PIER Journals

2005-09-27

A Novel Marching Algorithm for Radio Wave Propagation Modeling Over Rough Surfaces

Homayoon Oraizi,

Professor Homayoon Oraizi

Department of Electrical Engineering

Iran University of Science and Technology Narmak

Iran

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Shahram Hosseinzadeh

Dr. Shahram Hosseinzadeh

Department of Engineering

Azarbaijan University of Tarbiat Moallem

Iran

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, Vol. 57, 85-100, 2006

doi:10.2528/PIER05051001

Abstract

In this paper, the parabolic approximation of wave equation will be solved by the method of least squares. At first, the radio wave propagation in homogeneous media will be considered. The electromagnetic field will be expanded by proper expansion functions, which satisfy the parabolic equation in homogeneous media. The expansion coefficients will be derived by the least square method through enforcing initial and boundary conditions. The least square functionals satisfy the initial and boundary conditions. Similar to the split step method, the field in the inhomogeneous media with known profile of refractive index can be obtained by proper phase shifting of the field in homogeneous media. The proposed method is more reliable than the split step method and can be applied over rough boundary without any excess computations. In comparison with the finite difference method, the proposed method is very fast.

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Homayoon Oraizi, and Shahram Hosseinzadeh, "A Novel Marching Algorithm for Radio Wave Propagation Modeling Over Rough Surfaces," , Vol. 57, 85-100, 2006.
doi:10.2528/PIER05051001

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