Title: Near-field limitations of Fresnel-regime coherent diffraction imaging

Abstract

Coherent diffraction imaging (CDI) is a rapidly developing form of imaging that offers the potential of wavelength-limited resolution without image-forming lenses. In CDI, the intensity of the diffraction pattern is measured directly by the detector, and various iterative phase retrieval algorithms are used to “invert” the diffraction pattern and reconstruct a high-resolution image of the sample. But, there are certain requirements in CDI that must be met to reconstruct the object. Although most experiments are conducted in the “far-field”—or Fraunhofer—regime where the requirements are not as stringent, some experiments must be conducted in the “near field” where Fresnel diffraction must be considered. According to the derivation of Fresnel diffraction, successful reconstructions can only be obtained when the small-angle number, a derived quantity, is much less than one. We show, however, that it is not actually necessary to fulfill the small-angle condition. The Fresnel kernel well approximates the exact kernel in regions where the phase oscillates slowly, and in regions of fast oscillations, indicated by large A n , the error between kernels should be negligible due to stationary-phase arguments. Finally we verify, by experiment, this conclusion with a helium neon laser setup and show that it should hold at x-raymore » wavelengths as well.« less

Authors:

Pound, Benjamin A.  ^[1];

• Search DOE PAGES for author "Pound, Benjamin A."
• Search DOE PAGES for ORCID "0000-0002-6490-7029"

Barber, John L.  ^[1];

• Search DOE PAGES for author "Barber, John L."
• Search DOE PAGES for ORCID "0000-0002-2636-7324"

Nguyen, Kimberly ^[1]; Tyson, Matthew C. ^[1]; Sandberg, Richard L.  ^[1]

• Search DOE PAGES for author "Sandberg, Richard L."
• Search DOE PAGES for ORCID "0000-0001-9719-8188"

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+ Show Author Affiliations

1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:

Fri Aug 04 00:00:00 EDT 2017

Research Org.:

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:

USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:

1375870

Alternate Identifier(s):

OSTI ID: 1374066

Report Number(s):

LA-UR-16-28161
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1702797

Grant/Contract Number:  

AC52-06NA25396; 20120278ER

Resource Type:

Accepted Manuscript

Journal Name:

Physical Review B

Additional Journal Information:

Journal Volume: 96; Journal Issue: 5; Conference: American Physical Society 4 Corners Meeting ; 2016-10-21 - 2016-10-22 ; Las Cruces, New Mexico, United States; Journal ID: ISSN 2469-9950

Publisher:

American Physical Society (APS)

Country of Publication:

United States

Language:

English

Subject:

46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; optics, Fresnel, near field imaging