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"
}