NDLI: A rigorous analysis of the generalized Rayleigh-Gans approximation

Content Provider	IEEE Xplore Digital Library
Author	Stiles, J.M. Sarabandi, K.
Copyright Year	1995
Description	Author affiliation: Radiat. Lab., Michigan Univ., Ann Arbor, MI, USA (Stiles, J.M.; Sarabandi, K.)
Abstract	Since its introduction by Schiffer and Thielheim [1979], the generalized Rayleigh-Gans (GRG) approximation has frequently been employed to determine the scattering from thin dielectric cylinders. In Schiffer and Thielheim, the validity of the approximation is demonstrated for a thin circular cylinder at both the long wavelength and the short wavelength cases by direct comparison with Rayleigh and high frequency models, respectively. Although this provides strong evidence as to the validity of the GRG approximation, it does not prove its general validity, particularly with regards to resonant length cylinders and cylinders with non-circular cross-sections. Thus, to provide a firm theoretical basis for the implementation of the GRG approximation, a rigorous analysis is required to demonstrate GRG validity for arbitrary values of cylinder electrical length, kl, in addition to arbitrary cross-sections. Beginning with a general scattering formulation, it is shown that the solution to the integral equation converges to the GRG approximation as the cylinder electrical radius converges to zero, for any arbitrary value of kl. In addition, the proof is independent of cylinder cross-section shape, thus demonstrating the validity of GRG for cylinders with non-circular cross-sections. Finally, the error associated with the approximation is examined for all values of kl by developing a moment method solution for thin dielectric cylinders.
Starting Page	802
Ending Page	805
File Size	220469
Page Count	4
File Format	PDF
ISBN	0780327195
DOI	10.1109/APS.1995.531094
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1995-06-18
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Rayleigh scattering Dielectrics Integral equations Frequency Laboratories Telephony Facsimile Resonance Shape Moment methods
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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