Considerations on the proposed linear theory of surface measurement for coherence scanning interferometers

Andrew Henning, C. L. Giusca

Research output: Contribution to journalArticle

Abstract

It was suggested in [Appl. Opt. 52, 3662 (2013)] that the result of a measurement via coherence scanning inter-ferometry could be viewed as the convolution of a point spread function of the instrument and an open surface in 3D space that lies at the air/material interface over a portion of the object's surface. Further, it was suggested that by measuring certain objects, such as ones that are very close to spherical, and whose surface is known to a sufficient level of accuracy, that a point spread function for the instrument could be determined from the measurement result. We conclude that the approximations used in this calculation do not give sufficient accuracy to allow this to be achieved, and that the truncation of the surface function from the closed surface surrounding the object is not defined sufficiently well in order to give a unique solution to the problem. The physical justification for the truncation of the surface in this manner is also questioned.
Original languageEnglish
Pages (from-to)2960-2967
Number of pages8
JournalApplied Optics
Volume56
Issue number10
DOIs
Publication statusPublished - 31 Mar 2017

Fingerprint

interferometers
scanning
point spread functions
approximation
convolution integrals
air

Cite this

@article{5d4974e956db412787fc13564f6d7155,
title = "Considerations on the proposed linear theory of surface measurement for coherence scanning interferometers",
abstract = "It was suggested in [Appl. Opt. 52, 3662 (2013)] that the result of a measurement via coherence scanning inter-ferometry could be viewed as the convolution of a point spread function of the instrument and an open surface in 3D space that lies at the air/material interface over a portion of the object's surface. Further, it was suggested that by measuring certain objects, such as ones that are very close to spherical, and whose surface is known to a sufficient level of accuracy, that a point spread function for the instrument could be determined from the measurement result. We conclude that the approximations used in this calculation do not give sufficient accuracy to allow this to be achieved, and that the truncation of the surface function from the closed surface surrounding the object is not defined sufficiently well in order to give a unique solution to the problem. The physical justification for the truncation of the surface in this manner is also questioned.",
author = "Andrew Henning and Giusca, {C. L.}",
year = "2017",
month = "3",
day = "31",
doi = "10.1364/AO.56.002960",
language = "English",
volume = "56",
pages = "2960--2967",
journal = "Applied Optics",
issn = "1559-128X",
publisher = "The Optical Society",
number = "10",

}

Considerations on the proposed linear theory of surface measurement for coherence scanning interferometers. / Henning, Andrew; Giusca, C. L.

In: Applied Optics, Vol. 56, No. 10, 31.03.2017, p. 2960-2967.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Considerations on the proposed linear theory of surface measurement for coherence scanning interferometers

AU - Henning, Andrew

AU - Giusca, C. L.

PY - 2017/3/31

Y1 - 2017/3/31

N2 - It was suggested in [Appl. Opt. 52, 3662 (2013)] that the result of a measurement via coherence scanning inter-ferometry could be viewed as the convolution of a point spread function of the instrument and an open surface in 3D space that lies at the air/material interface over a portion of the object's surface. Further, it was suggested that by measuring certain objects, such as ones that are very close to spherical, and whose surface is known to a sufficient level of accuracy, that a point spread function for the instrument could be determined from the measurement result. We conclude that the approximations used in this calculation do not give sufficient accuracy to allow this to be achieved, and that the truncation of the surface function from the closed surface surrounding the object is not defined sufficiently well in order to give a unique solution to the problem. The physical justification for the truncation of the surface in this manner is also questioned.

AB - It was suggested in [Appl. Opt. 52, 3662 (2013)] that the result of a measurement via coherence scanning inter-ferometry could be viewed as the convolution of a point spread function of the instrument and an open surface in 3D space that lies at the air/material interface over a portion of the object's surface. Further, it was suggested that by measuring certain objects, such as ones that are very close to spherical, and whose surface is known to a sufficient level of accuracy, that a point spread function for the instrument could be determined from the measurement result. We conclude that the approximations used in this calculation do not give sufficient accuracy to allow this to be achieved, and that the truncation of the surface function from the closed surface surrounding the object is not defined sufficiently well in order to give a unique solution to the problem. The physical justification for the truncation of the surface in this manner is also questioned.

U2 - 10.1364/AO.56.002960

DO - 10.1364/AO.56.002960

M3 - Article

VL - 56

SP - 2960

EP - 2967

JO - Applied Optics

JF - Applied Optics

SN - 1559-128X

IS - 10

ER -