Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Imaging phase objects with square-root, Foucault, and Hoffman real filters: a comparison

Not Accessible

Your library or personal account may give you access

Abstract

Methods of imaging phase objects are considered. First the square-root filter is inferred from a definition of fractional-order derivatives given in terms of the integration of a fractional order called the Riemann-Liouville integral. Then we present a comparison of the performance of three frequency-domain real filters: square root, Foucault, and Hoffman. The phase-object imaging method is useful as a phase-shift measurement technique under the condition that the output image intensity is a known function of object phase. For the square-root filter it is the first derivative of the object phase function. The Foucault filter, in spite of its position, gives output image intensities expressed by Hilbert transforms. The output image intensity obtained with the Hoffman filter is not expressed by an analytical formula. The performance of the filters in a 4f imaging system with coherent illumination is simulated by use of VirtualLab 1.0 software.

© 2003 Optical Society of America

Full Article  |  PDF Article
More Like This
Phase-change visualization in two-dimensional phase objects with a semiderivative real filter

Tomasz Szoplik, Vicent Climent, Enrique Tajahuerce, Jesús Lancis, and Mercedes Fernández-Alonso
Appl. Opt. 37(23) 5472-5478 (1998)

Three filters for visualization of phase objects with large variations of phase gradients

Arkadiusz Sagan, Tomasz J. Antosiewicz, and Tomasz Szoplik
Appl. Opt. 48(6) 1143-1152 (2009)

Fractional derivative Fourier plane filter for phase-change visualization

Jesús Lancis, Tomasz Szoplik, Enrique Tajahuerce, Vicent Climent, and Mercedes Fernández-Alonso
Appl. Opt. 36(29) 7461-7464 (1997)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (21)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved