Spatial frequency analysis for the computer-generated holography of 3-D objects

Tullio Tommasi; Bruno Bianco

doi:10.1117/12.47035

1 September 1991 Spatial frequency analysis for the computer-generated holography of 3-D objects

Tullio Tommasi, Bruno Bianco

Proceedings Volume 1507, Holographic Optics III: Principles and Applications; (1991) https://doi.org/10.1117/12.47035
Event: ECO4 (The Hague '91), 1991, The Hague, Netherlands

Abstract

A method is described that uses a frequency analysis to calculate the wavefront of a diffracted light; a hologram is then produced starting from the generated light. If the Fresnel equation for diffraction is applied, one has to consider a 2-D object, or a 3-D set of cross-sections, to be parallel to the hologram plane. By considering the angular spectrum and its properties concerning translation and rotation, it is possible to calculate the light on a plane rotated with respect to the hologram. To this end, a theory on the angular spectrum has been used, and the rotation transformation has been pointed out. This approach can be applied to generate a synthetic hologram of a 3-D object, considering a 3-D object as a collection of planes translated and rotated in the space. The frequency analysis permits evaluation of the wavefront diffracted by the planes, thus obtaining the field on the hologram plane. The analysis is performed via FFT algorithms. Simple but significant holograms have been generated and a computer reconstruction has been carried out, confirming the validity of this frequency approach.

Citation Download Citation

Tullio Tommasi and Bruno Bianco "Spatial frequency analysis for the computer-generated holography of 3-D objects", Proc. SPIE 1507, Holographic Optics III: Principles and Applications, (1 September 1991); https://doi.org/10.1117/12.47035

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