OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 30, Iss. 7 — Jul. 1, 2013
  • pp: 1460–1463

Simple solution to the Fresnel–Kirchoff diffraction integral for application to refraction-enhanced radiography

J. A. Koch, O. L. Landen, L. J. Suter, and L. P. Masse  »View Author Affiliations


JOSA A, Vol. 30, Issue 7, pp. 1460-1463 (2013)
http://dx.doi.org/10.1364/JOSAA.30.001460


View Full Text Article

Enhanced HTML    Acrobat PDF (363 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present a simple solution to the Fresnel–Kirchoff diffraction integral that is appropriate for x-ray radiography of strongly absorbing and phase-shifting objects in the geometrical optics regime, where phase contrast enhancements can be considered to be caused by refraction by a semi-opaque object. We demonstrate its accuracy by comparison to brute-force numerical ray trace and diffraction calculations of a representative simulated object, and show excellent agreement for spatial scales corresponding to Fresnel numbers greater than unity. The result represents a significant improvement over approximate formulas typically used in analysis of refraction-enhanced radiographs, particularly for radiography of transient phenomena in objects that strongly refract and show significant absorption.

© 2013 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(100.5070) Image processing : Phase retrieval
(110.1650) Imaging systems : Coherence imaging
(110.2990) Imaging systems : Image formation theory
(340.7440) X-ray optics : X-ray imaging

ToC Category:
Diffraction and Gratings

History
Original Manuscript: March 20, 2013
Revised Manuscript: June 10, 2013
Manuscript Accepted: June 10, 2013
Published: June 28, 2013

Citation
J. A. Koch, O. L. Landen, L. J. Suter, and L. P. Masse, "Simple solution to the Fresnel–Kirchoff diffraction integral for application to refraction-enhanced radiography," J. Opt. Soc. Am. A 30, 1460-1463 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-7-1460

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

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

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

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

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

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

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article

OSA is a member of CrossRef.

CrossCheck Deposited