where and are the components of X and H, respectively. We also assume that the Jacobian matrix exists and is continuous. It should be noted that Equation (2) is the vector version for systems of real ...
Abstract: Starting from a parabolic approximation to the Helmholtz equation, a three-dimensional (3-D) vector parabolic equation (PE) method for propagation predictions over flat terrains is presented ...
Abstract: A 3-D bidirectional solution to the parabolic approximation of the wave equation is investigated by using a vector field representation. The backward propagating wave is integrated to the ...
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