Explicit inversion formulas are obtained for the analytic family of fractional integrals (T : f )(x)=# n, : S n |xy| :&1 f ( y) dy on the unit sphere in R n+1 . Arbitrary complex : and n 2 are considered. In the ease :=0 the integral T : f coincides with the spherical Radon transform. For :>1 (:{1,
A radon transform interpretation of the physical optics integral
✍ Scribed by Deniz Bölükbaş; A. Arif Ergin
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 151 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0895-2477
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✦ Synopsis
Abstract
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
📜 SIMILAR VOLUMES
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