Publication detail
COMPARISON OF THE 2-DIMENSIONAL FRAUNHOFER AND THE 2-DIMENSIONAL FRESNEL APPROXIMATIONS IN THE ANALYSIS OF SURFACE-ROUGHNESS BY ANGLE SPECKLE CORRELATION .1. THEORY
OHLÍDAL, M.
Czech title
Porovnání dvojrozměrné Fraunhoferovy a dvourozměrné Fresnelovy aproximace při analýze povrchové drsnosti úhlovou korelací koherenční zrnitosti (I. Teorie)
English title
COMPARISON OF THE 2-DIMENSIONAL FRAUNHOFER AND THE 2-DIMENSIONAL FRESNEL APPROXIMATIONS IN THE ANALYSIS OF SURFACE-ROUGHNESS BY ANGLE SPECKLE CORRELATION .1. THEORY
Type
journal article - other
Language
en
Original abstract
In this paper we discuss some new theoretical results which we reached in the analysis of a random surface roughness in the framework of the two-dimensional (2D) Fresnel approximation. A comparison with 2D Fraunhofer approximation results is made. It is shown for experimentally reasonable values of the geometrical arrangement parameters of the method that the surface roughness measurement can be interpreted in the 2D Fraunhofer approximation only for surfaces with high slopes of surface irregularities. Surfaces with small slopes of irregularities require interpretation of the surface roughness measurement in the 2D Fresnel approximation. In this case, not only the standard deviation of surface height fluctuations but also the correlation length of the surface can be determined.
Czech abstract
Jsou diskutovány nové teoretické výsledky dosažené při analýze náhodné drsnosti povrchů v rámci dojrozměrné Fresnolovy aproximace. Je provedeno srovnání s výsledky v dvojrozměrné Fraunhoferově aproximaci. Je ukázáno, že pro experimentálně rozumné hodnoty geometrických parametrů uspořádaní metody mohou být měření drsnosti povrchu interpretována v rámci 2D Fraunhoferovy aproximace jen pro povrchy s velkými sklony. Povrchy s malými sklony vyžadují interpretaci v 2D Fresnelově aproxiamci. V tomto případě lze určit nejen standardní odchylku výškových fluktuací povrchu, ale i korelační délku povrchu.
English abstract
In this paper we discuss some new theoretical results which we reached in the analysis of a random surface roughness in the framework of the two-dimensional (2D) Fresnel approximation. A comparison with 2D Fraunhofer approximation results is made. It is shown for experimentally reasonable values of the geometrical arrangement parameters of the method that the surface roughness measurement can be interpreted in the 2D Fraunhofer approximation only for surfaces with high slopes of surface irregularities. Surfaces with small slopes of irregularities require interpretation of the surface roughness measurement in the 2D Fresnel approximation. In this case, not only the standard deviation of surface height fluctuations but also the correlation length of the surface can be determined.
Keywords in Czech
koherenční zrnitost, drsnost povrchu
Keywords in English
Laser speckle, surface roughness
RIV year
1995
Released
01.11.1991
Publisher
TAYLOR & FRANCIS LTD
Location
London
ISSN
0950-0340
Journal
Journal of Modern Optics
Volume
42
Number
10
Pages from–to
2115–2135
Pages count
20
BIBTEX
@article{BUT38426,
author="Miloslav {Ohlídal},
title="COMPARISON OF THE 2-DIMENSIONAL FRAUNHOFER AND THE 2-DIMENSIONAL FRESNEL APPROXIMATIONS IN THE ANALYSIS OF SURFACE-ROUGHNESS BY ANGLE SPECKLE CORRELATION .1. THEORY",
journal="Journal of Modern Optics",
year="1991",
volume="42",
number="10",
month="November",
pages="2115--2135",
publisher="TAYLOR & FRANCIS LTD",
address="London",
issn="0950-0340"
}