Time-domain version of the physical theory of diffraction

A time-domain version of the equivalent edge current (EEC) formulation of the physical theory of diffraction is derived. The time-domain EECs (TD-EECs) apply to the far-field analysis of diffraction by edges of perfectly conducting three dimensional (3-D) structures with planar faces illuminated by...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 1999-02, Vol.47 (2), p.261-270
Main Author: Johansen, P.M.
Format: Article
Language:English
Subjects:
Closed-form solution
Cylinders
Diffraction
EEC
Exact solutions
Fast Fourier transforms
Frequency domain analysis
Mathematical analysis
Mathematical models
Moment methods
Optical diffraction
Physical optics
Physical theory of diffraction
Strip
Strips
Testing
Time domain analysis
Wedges
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Summary:A time-domain version of the equivalent edge current (EEC) formulation of the physical theory of diffraction is derived. The time-domain EECs (TD-EECs) apply to the far-field analysis of diffraction by edges of perfectly conducting three dimensional (3-D) structures with planar faces illuminated by a time-domain plane wave. By adding the field predicted by the TD-EECs to the time-domain physical optics (TD-PO) field, a significant improvement is obtained compared to what can be achieved by using TD-PO alone. The TD-EECs are expressed as the integral of the time-domain fringe wave current (the exact current minus the TD-PO current) on the canonical wedge along truncated incremental strips. Closed-form expressions for the TD-EECs are obtained in the half-plane case by analytically carrying out the integration along the truncated incremental strip directly in the time domain. In the general wedge case, closed-form expressions for the TD-EECs are obtained by transforming the corresponding frequency-domain EECs to the time-domain. The TD-EECs are tested numerically on the triangular cylinder and the results are compared with those obtained using the method of moments in combination with the inverse fast Fourier transform.
ISSN:0018-926X
1558-2221
DOI:10.1109/8.761065