Publication result 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.

Original 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

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

Peer-reviewed article not indexed in WoS or Scopus

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.

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

Laser speckle, surface roughness

Key words in English

Laser speckle, surface roughness

Authors

OHLÍDAL, M.

Released

01.11.1991

Publisher

TAYLOR & FRANCIS LTD

Location

London

ISBN

0950-0340

Periodical

JOURNAL OF MODERN OPTICS

Volume

42

Number

10

State

United Kingdom of Great Britain and Northern Ireland

Pages from

2115

Pages to

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",
  pages="2115--2135",
  issn="0950-0340"
}