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A radon transform interpretation of the physical optics integral
Author(s) -
Bölükbaş Deniz,
Ergin A. Arif
Publication year - 2004
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.20612
Subject(s) - radon transform , physical optics , microwave , interpretation (philosophy) , expression (computer science) , multiple integral , integral transform , surface integral , plane (geometry) , optics , domain (mathematical analysis) , closed form expression , mathematical analysis , frequency domain , integral imaging , line integral , radon , integral equation , field (mathematics) , mathematics , physics , geometry , computer science , image (mathematics) , quantum mechanics , pure mathematics , computer vision , programming language
Physical optics (PO) is a well‐known asymptotic technique for evaluating the fields scattered from an object. Evaluation of a surface integral forms the crux of this technique. In this paper, the PO integral is formulated for plane‐wave incidence and far‐field observation. Then, this integral is converted to the time domain and interpreted as a Radon transform. When the integration domain is a triangle, this interpretation yields a closed‐form expression that can be employed in both the frequency and time domains. The efficacy of using the derived closed‐form expression in the frequency domain is demonstrated through numerical examples. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 44: 284–288, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20612