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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 6 — Jun. 1, 2004
  • pp: 1050–1057

Information content of the near field: two-dimensional samples

Richard A. Frazin, David G. Fischer, and P. Scott Carney  »View Author Affiliations


JOSA A, Vol. 21, Issue 6, pp. 1050-1057 (2004)
http://dx.doi.org/10.1364/JOSAA.21.001050


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Abstract

Limits on the effective resolution of many optical near-field experiments are investigated. The results are applicable to variants of total-internal-reflection microscopy (TIRM), photon-scanning-tunneling microscopy (PSTM), and near-field-scanning-optical microscopy (NSOM) in which the sample is weakly scattering and the direction of illumination may be controlled. Analytical expressions for the variance of the estimate of the complex susceptibility of an unknown two-dimensional object as a function of spatial frequency are obtained for Gaussian and Poisson noise models, and a model-independent measure is examined. The results are used to explore the transition from near-zone to far-zone detection. It is demonstrated that the information content of the measurements made at a distance of even one wavelength away from the sample is already not much different from the information content of the far field.

© 2004 Optical Society of America

OCIS Codes
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(110.0180) Imaging systems : Microscopy
(110.3000) Imaging systems : Image quality assessment
(180.5810) Microscopy : Scanning microscopy
(290.3200) Scattering : Inverse scattering

Citation
Richard A. Frazin, David G. Fischer, and P. Scott Carney, "Information content of the near field: two-dimensional samples," J. Opt. Soc. Am. A 21, 1050-1057 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-6-1050

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