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Numerical simulation of long-path spherical wave propagation in three-dimensional random media
Rubio Sancho d'Ávila, Juan Antonio; Belmonte Molina, Aniceto; Comerón Tejero, Adolfo
Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions; Universitat Politècnica de Catalunya. RSLAB - Grup de Recerca en Teledetecció
A new method to overcome some limitations in the simulation of the propagation of waves originating from a point source through a very long path in a turbulent medium is presented. Existing propagation simulation algorithms suffer from either windowing or lack of resolution when applied to long paths. If Cartesian coordinates are used, the limited size of the numerical mesh eventually leads to windowing errors. Casting the classical split-step Fourier algorithm in a spherically diverging coordinate system allows one to get around this problem. In this way an angular mesh matching the source and the propagation algorithm to the problem geometry is used. But for long-path propagation, this spherical divergent mesh causes a loss of resolution that can become a serious problem in the evaluation of the field statistical moments. The method discussed in this paper overcomes both the windowing effect associated with Cartesian coordinates and the loss of resolution accompanying spherical coordinates by using a spherical-coordinate algorithm and performing repeated interpolations of the numerically propagated field before the mesh grows too large to sample the field accurately. Each time an interpolation is done, the angular window is decreased to maintain the matrix size.
Peer Reviewed
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica::Teledetecció
Electromagnetic waves
Radio wave propagation
Physics computing
Numerical simulation
Long-path spherical wave propagation
Three-dimensional random media
3D random media
Point source
Turbulent medium
Propagation simulation algorithms
Cartesian coordinates
Split-step Fourier algorithm
Long-path propagation
Statistical moments
Matrix size
Atmospheric light propagation
Ones electromagnètiques
Propagació d'ones

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