Fast Hankel Transforms with±1/2 Order and Their Applications in Electromagnetic Calculating
In this paper,the filter coefficients of fast Hankel transforms with±1/2 order were designed and studied,and used to calculate the electromagnetic fields in horizontal layered orthogonal anisotropic media. Firstly,Fourier transform and propagation matrix method were used to represent the electromagnetic fields in space domain into the form of two-dimensional infinite integrals,and Euler's formula was used to transform them into semi-infinite integrals including±1/2 Bessel functions. Then,three different lengths of filter coefficients for Hankel transform with±1/2 order were designed by using matrix inversion method to further improve the computational efficiency of electromagnetic fields. Finally,five-layered orthogonal anisotropic media model was designed to calculate the distributions of electromagnetic fields,and compared with the results calculated by direct integral method,thus verifying the calculation accuracy and efficiency of the fast Hankel transforms with±1/2 order designed in this paper. The method presented in this paper can be used for the rapid calculation of the electromagnetic fields in complex media,and can also provide a certain basis for the electromagnetic imaging of the target,which has important theoretical and practical significance.
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