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Journal ArticleDOI

Determination of the Amplitude and the Phase of Scattered Fields by Holography

Emil Wolf
- 01 Jan 1970 - 
- Vol. 60, Iss: 1, pp 18-20
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TLDR
In this paper, the amplitude and phase of a scattered field can be determined by holography, and it is estimated that information about details down to about nine wavelengths of light can be obtained by this technique.
Abstract
It is shown how both the amplitude and the phase of a scattered field may be determined by holography. It is estimated that information about details down to about nine wavelengths of light can be obtained by this technique. The result is of importance for unambiguous determination of the three-dimensional structure of semitransparent objects, such as are frequently encountered, for example, in biology.

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Citations
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Journal ArticleDOI

Three-dimensional structure determination of semi-transparent objects from holographic data

TL;DR: In this article, a solution to an inverse scattering problem that arises in the application of holography to the determination of the three-dimensional structure of weakly scattering semi-transparent objects is presented.
Journal ArticleDOI

Principles and techniques of digital holographic microscopy

TL;DR: Digital holography is an emerging field of new paradigm in general imaging applications as discussed by the authors, and a review of a subset of the research and development activities in digital holographic microscopy techniques and applications is presented.
Book ChapterDOI

The Stability of Inverse Problems

TL;DR: Many inverse problems arising in optics and other fields like geophysics, medical diagnostics and remote sensing, present numerical instability: the noise affecting the data may produce arbitrarily large errors in the solutions.
Journal ArticleDOI

Inversion scheme for ground penetrating radar that takes into account the planar air-soil interface

TL;DR: A three-dimensional diffraction-tomography inversion scheme that takes into account the planar air-soil interface is derived for fixed-offset ground penetrating radar (GPR).
Journal ArticleDOI

Nonuniqueness in the inverse scattering problem

TL;DR: In this article, it was shown that within the framework of the first Born approximation, the inverse scattering problem does not possess a unique solution and that the data generated by any single such experiment is not sufficient to uniquely specify the scattering potential.
References
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Journal ArticleDOI

Three-dimensional structure determination of semi-transparent objects from holographic data

TL;DR: In this article, a solution to an inverse scattering problem that arises in the application of holography to the determination of the three-dimensional structure of weakly scattering semi-transparent objects is presented.
Journal ArticleDOI

Wavefront Reconstruction with Continuous-Tone Objects*

TL;DR: In this paper, the extraneous twin image and other interfering terms have been eliminated using a two-beam interferometric technique and high quality reconstructions have been made by using a high-quality reconstructions.