Towards deconvolution in holography

Nan Wang; Claas Falldorf; Christoph von Kopylow

doi:10.1117/12.827507

17 June 2009 Towards deconvolution in holography

Nan Wang, Claas Falldorf, Christoph von Kopylow

Proceedings Volume 7390, Modeling Aspects in Optical Metrology II; 73900Y (2009) https://doi.org/10.1117/12.827507
Event: SPIE Europe Optical Metrology, 2009, Munich, Germany

Abstract

In this paper we present a way to formulate the holographic reconstruction of a wavefield throughout a volume by means of a sequence of convolutions. The discussion is based on the assumption that the field is generated by a set of real valued scattering sources within the volume. In analogy to two dimensional imaging this enables the application of deconvolution techniques to the holographic scheme. We show, that the proposed formalism can theoretically be used to perform a three dimensional deconvolution of the reconstructed amplitude in order to recover object information, e.g. the position of scattering sources. In the ideal case of an infinite aperture of the hologram the deconvolution may be employed by a simple inverse filter. However, for the more realistic case of finite apertures an iterative technique called Out of Hologram Extrapolation (OHE) is introduced, which is based on the projected Landweber method. Finally, the novel method is applied to a synthetic example in order to recover the positions of a set of distributed point sources.

Citation Download Citation

Nan Wang, Claas Falldorf, and Christoph von Kopylow "Towards deconvolution in holography", Proc. SPIE 7390, Modeling Aspects in Optical Metrology II, 73900Y (17 June 2009); https://doi.org/10.1117/12.827507

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
8 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Holograms

Holography

Deconvolution

Convolution

Image processing

3D image processing

Digital holography

Show All Keywords

Keywords/Phrases

Search In:

Publication Years