Approach for applying holographic interferometry to large deformations and modifications

Walter Schumann

doi:10.1117/12.47076

1 September 1991 Approach for applying holographic interferometry to large deformations and modifications

Walter Schumann

Proceedings Volume 1507, Holographic Optics III: Principles and Applications; (1991) https://doi.org/10.1117/12.47076
Event: ECO4 (The Hague '91), 1991, The Hague, Netherlands

Abstract

The basic problem in holographic interferometry, in the case of a deformed opaque body, concerns the determination of displacements, rotations, and especially surface strains from the fringes that can be observed when reconstructing the image. However, in industrial application, large deformations often occur, so that fringes would not be visible. Several approaches were proposed previously to overcome this problem by a sort of compensation. In most cases, fringes can be recovered and analyzed by such a modification. The same problem of recovering fringes can also come up in the case of a strong spatial change of index of refraction, for instance, in a gas with a high temperature gradient. After the process of modification, three conditions must be fulfilled: (a) small areas around each pair of aberrated image points of the undeformed and the deformed object surface must overlap; (b) the expected fringes must become sufficiently spaced; and (c) they must have a sufficient contrast. The authors establish here the basic concept of aberrated images and modified fringe formation leading to two fundamental equations by means of a differential form of the relevant optical path difference. In order to show how to use these equations, a development, in combination with image processing, is given in the case of moderate rotation of the order (mu) << 1 and small strains of the order (mu) 2.

Citation Download Citation

Walter Schumann "Approach for applying holographic interferometry to large deformations and modifications", Proc. SPIE 1507, Holographic Optics III: Principles and Applications, (1 September 1991); https://doi.org/10.1117/12.47076

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
12 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Holograms

Holography

3D image reconstruction

Projection systems

Image processing

Holographic interferometry

Visibility

Show All Keywords

Keywords/Phrases

Search In:

Publication Years