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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 42, Iss. 22 — Aug. 1, 2003
  • pp: 4529–4540

Applicability of the singular-optics concept for diagnostics of random and fractal rough surfaces

Oleg V. Angelsky, Dmitry N. Burkovets, Peter P. Maksimyak, and Steen G. Hanson  »View Author Affiliations


Applied Optics, Vol. 42, Issue 22, pp. 4529-4540 (2003)
http://dx.doi.org/10.1364/AO.42.004529


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Abstract

We introduce the singular-optics approach for classification of rough surfaces with large-scale inhomogeneities into random and fractal surfaces. The maps of amplitude zeros of a field versus the parameters of the rough surfaces and the position of the observation zone are obtained and analyzed. It is shown that the local density of amplitude zeros in the scattered field serves as an appropriate parameter with which to classify the surface of interest into a surface with a height distribution that can be described as a random or a fractal process.

© 2003 Optical Society of America

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.4630) Instrumentation, measurement, and metrology : Optical inspection
(170.6960) Medical optics and biotechnology : Tomography
(180.1790) Microscopy : Confocal microscopy
(240.5770) Optics at surfaces : Roughness
(290.0290) Scattering : Scattering

History
Original Manuscript: December 5, 2002
Revised Manuscript: May 5, 2003
Published: August 1, 2003

Citation
Oleg V. Angelsky, Dmitry N. Burkovets, Peter P. Maksimyak, and Steen G. Hanson, "Applicability of the singular-optics concept for diagnostics of random and fractal rough surfaces," Appl. Opt. 42, 4529-4540 (2003)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-42-22-4529


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References

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