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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 15 — May. 20, 2011
  • pp: 2228–2238

Application of sampling criterion on numerical diffraction from bacterial colonies

Euiwon Bae, Nan Bai, and E. Daniel Hirleman  »View Author Affiliations

Applied Optics, Vol. 50, Issue 15, pp. 2228-2238 (2011)

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Numerical diffraction from a bacterial colony was investigated from the viewpoint of applying the sampling criterion for both spatial and frequency domains. Once the morphology information of a bacterial colony was given, the maximum diffraction angle was estimated to reveal the minimum and maximum length of both the imaging and aperture domains. Scalar diffraction modeling was applied to estimate the diffraction pattern, which provided that two phase functions were contributing to the phase modulation: chirp and Gaussian phase functions. Optimal sampling intervals for both phase functions were investigated, and the effect of violating these conditions was demonstrated. Finally, the Fresnel approximation was compared to the angular spectrum method for accuracy and applicability, which then revealed that the Fresnel approximation was valid for both large imaging distances and longer wavelengths.

© 2011 Optical Society of America

OCIS Codes
(050.5080) Diffraction and gratings : Phase shift
(120.4570) Instrumentation, measurement, and metrology : Optical design of instruments
(290.2558) Scattering : Forward scattering
(070.7345) Fourier optics and signal processing : Wave propagation
(070.6120) Fourier optics and signal processing : Spatial light modulators

ToC Category:
Diffraction and Gratings

Original Manuscript: June 29, 2010
Revised Manuscript: January 13, 2011
Manuscript Accepted: January 21, 2011
Published: May 18, 2011

Virtual Issues
Vol. 6, Iss. 6 Virtual Journal for Biomedical Optics

Euiwon Bae, Nan Bai, and E. Daniel Hirleman, "Application of sampling criterion on numerical diffraction from bacterial colonies," Appl. Opt. 50, 2228-2238 (2011)

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