On the closed-form evaluation of the PO integral using the Radon transforminterpretation for linear triangles

Authors

ASLIHAN AKTEPE
HÜSEYİN ARDA ÜLKÜ

DOI

10.3906/elk-2009-21

Abstract

This letter presents the complete mathematical formulation for the closed-form evaluation of the time domain physical optics (PO) integral on linear triangular patches using Radon transform (RT) interpretation. The incident field is assumed to be an impulsively excited plane wave and scattered fields are observed at far-zone. The PO integral is evaluated in closed-form as the intersection of the triangle and the plane formed by the incident and observation directions. In addition, a formula is suggested for the special case, which occurs if there is no intersection of the plane and all scatterer. Accuracy of the closed-form expressions is demonstrated via numerical examples.

Keywords

Closed-form evaluation, physical optics approximation, Radon transform interpretation, time domain analysis

First Page

2520

Last Page

2528

Recommended Citation

AKTEPE, ASLIHAN and ÜLKÜ, HÜSEYİN ARDA (2021) "On the closed-form evaluation of the PO integral using the Radon transforminterpretation for linear triangles," Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 29: No. 5, Article 17. https://doi.org/10.3906/elk-2009-21
Available at: https://journals.tubitak.gov.tr/elektrik/vol29/iss5/17