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Journal ArticleDOI

Compensating optical systems. Part 3: achromatic fourier transformation.

Robert H. Katyl
- 01 May 1972 - 
- Vol. 11, Iss: 5, pp 1255-1260
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TLDR
The requirements for the achromatization of an irradiance distribution which is a function of a space coordinate multiplied by wavelength raised to a power are shown and the theory is applied to the following problems: achrom atization of Newton's ring patterns and Fraunhofer diffraction patterns and frequency plane.
Abstract
This paper shows the requirements for the achromatization of an irradiance distribution which is a function of a space coordinate multiplied by wavelength raised to a power. The particular requirements for achromatic Fourier transformation are then presented. The theory is applied to the following problems: achromatization of Newton’s ring patterns and Fraunhofer diffraction patterns and frequency plane filtering of an object illuminated with a broadband light source. Experimental systems that perform these functions are presented.

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Citations
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Journal ArticleDOI

Diffraction theory for an achromatic Fourier transformation

TL;DR: A three-lens achromatic Fourier transform system is analyzed in the context of paraxial Fresnel diffraction theory and it is found that this system design yields an a chromatic transformation that is well corrected over the entire visible spectrum.
Journal ArticleDOI

Analytic design of hybrid diffractive-refractive achromats.

TL;DR: An analytic design of hybrid achromats that combine refractive and diffractive elements is presented and the residual spherochromatic aberrations of the achromat are evaluated both analytically and numerically, with good agreement between the results.
Journal ArticleDOI

Achromatic fourier transforming properties of a separated diffractive lens doublet: theory and experiment.

TL;DR: The strong chromatic distortion associated with diffractive optical elements is fully exploited to achieve an achromatic optical Fourier transformation under broadband point-source illumination by means of an air-spaced diffractive lens doublet.
Journal ArticleDOI

White-light Fourier transformer with low chromatic aberration

TL;DR: It is shown that the resulting chromatic aberrations for typical values of the involved parameters are less than 1% over the entire visible spectrum.
Proceedings ArticleDOI

Advances in liquid crystal based devices for wavefront control and beamsteering

TL;DR: In this article, the authors discuss recent advancements in these areas including improvements in zero-order diffraction efficiency, broadband wide field-of-regard steering, wavefront correction using in-line configurations and high average power handling.
References
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Journal ArticleDOI

Operational notation for the analysis and synthesis of optical data-processing systems

TL;DR: An operational notation is described that characterizes basic optical elements as block diagrams and that, for bandlimited optical systems, gives results identical to those obtained by rigorous application of the Fresnel-Kirchhoff diffraction formula.
Journal ArticleDOI

Compensating optical systems. Part 1: broadband holographic reconstruction.

Robert H. Katyl
- 01 May 1972 - 
TL;DR: The primary chromatic aberrations of a reconstructed holographic image can be compensated by a dispersive lens placed at the quasi-achromatic (QA) point of a hologram.
Journal ArticleDOI

Compensating Optical Systems. Part 2: Generation of Holograms with Broadband Light

Robert H. Katyl
- 01 May 1972 - 
TL;DR: The conditions for obtaining an achromatic Fresnel diffraction pattern at the hologram plane are derived, and aberrations resulting from approximate compensation are discussed.
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