NDLI: On the Geometrical Optics (Hagfors' Law) and Physical Optics Approximations for Scattering From Exponentially Correlated Surfaces

Content Provider	IEEE Xplore Digital Library
Author	Johnson, J.T. Warnick, K.F. Peng Xu
Copyright Year	1980
Abstract	High-frequency approximations to the physical optics (PO) theory of scattering from exponentially correlated rough surfaces are examined and used to interpret the expected accuracy of the PO theory. As an introduction, a review of the PO theory for Gaussian-correlated surfaces is provided, and in this process an analytical summation of the PO series for specular scattering from Gaussian-correlated surfaces is obtained. A similar form is then derived for specular scattering from exponentially correlated surfaces and contrasted to the Gaussian case. These series allow the accuracy of the leading order term (i.e., the geometrical optics limit) in the high-frequency approximation of PO scattering for Gaussian or exponentially correlated surfaces to be investigated analytically. The leading order term in the high-frequency expansion for general PO scattering from exponentially correlated surfaces (Hagfors' Law) is then reviewed and interpreted in terms of a recently published theory of PO for surfaces with infinite rms slopes. The approximate ldquocutoffrdquo wavenumber from Hagfors' Law at which the high-frequency portion of the spectrum of an exponentially correlated surface can be truncated without producing large errors in PO predicted scattering is also discussed. Using this cutoff wavenumber, an approximate region of validity of the complete PO theory for exponentially correlated surfaces is obtained. The validity condition indicates that, for fixed surface statistics, the PO method produces accurate predictions of true surface scattering only up to a specific frequency, and that PO is inaccurate in the high-frequency limit. Comparisons of PO predictions with those of a Monte Carlo numerical simulation are used to show that the validity condition derived appears to provide a reasonable indication of PO accuracy. These results have important implications for current investigations of scattering from exponentially correlated surfaces and for the use of Hagfors' Law, as it is traditional to accept PO as the appropriate high-frequency limit in most existing approximate models of surface scattering.
Sponsorship	IEEE Geoscience and Remote Sensing Society IEEE URSI
Starting Page	2619
Ending Page	2629
Page Count	11
File Size	655888
File Format	PDF
ISSN	01962892
Volume Number	45
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-08-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Geometrical optics Physical optics Optical scattering Optical surface waves Rough surfaces Surface roughness Gaussian processes Surface waves Statistics Frequency Rough surface scattering
Content Type	Text
Resource Type	Article
Subject	Earth and Planetary Sciences Electrical and Electronic Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
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
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Physical and geometrical optics for 2-D rough surfaces with power-law height spectra

Conditions for the validity of physical optics in rough surface scattering

Scattering from non-Gaussian randomly rough surfaces-cylindrical case

Rough surface scattering results based on bandpass autocorrelation forms

Experimental studies of bistatic scattering from two-dimensional conducting random rough surfaces

Gaussian rough surfaces and Kirchhoff approximation

Band-Limited Exponential Correlation Function for Rough-Surface Scattering

Channeling phenomenon in electromagnetic forward scattering at low grazing

Backscattering from a Gaussian-distributed perfectly conducting rough surface

On the Geometrical Optics (Hagfors' Law) and Physical Optics Approximations for Scattering From Exponentially Correlated Surfaces

Similar Documents

Physical and geometrical optics for 2-D rough surfaces with power-law height spectra

Conditions for the validity of physical optics in rough surface scattering

Scattering from non-Gaussian randomly rough surfaces-cylindrical case

Rough surface scattering results based on bandpass autocorrelation forms

Experimental studies of bistatic scattering from two-dimensional conducting random rough surfaces

Gaussian rough surfaces and Kirchhoff approximation

Band-Limited Exponential Correlation Function for Rough-Surface Scattering

Channeling phenomenon in electromagnetic forward scattering at low grazing

Backscattering from a Gaussian-distributed perfectly conducting rough surface

On the Geometrical Optics (Hagfors' Law) and Physical Optics Approximations for Scattering From Exponentially Correlated Surfaces