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Journal ArticleDOI

Circle of Least Confusion of a Spherical Reflector

Robert Hosken
- 01 Jun 2007 - 
- Vol. 46, Iss: 16, pp 3107-3117
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TLDR
A simple, tractable equation is provided for determining the size and location of the circle of least confusion of a concave spherical reflector, exact for the object at infinity and with wave effects neglected.
Abstract
A simple, tractable equation is provided for determining the size and location of the circle of least confusion of a concave spherical reflector. This method is exact for the object at infinity and with wave effects neglected. Designers of large radius Arecibo-like telescopes, both radio and optical, with symmetrical, spherical primaries should find the method useful. The mathematical results are valid for apertures with an angle of incidence up to 45°. Comparisons of the location of the disk of least confusion with longitudinal spherical aberration and the radius of the disk with transverse spherical aberration are presented.

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Citations
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Journal ArticleDOI

Design and optical analyses of an arrayed microfluidic tunable prism panel for enhancing solar energy collection

TL;DR: In this paper, an arrayed microfluidic tunable prism panel that enables wide solar tracking and high solar concentration while minimizing energy loss is presented. But the performance of the proposed system is limited by the dispersion characteristics of the materials and their corresponding effect on the concentration factor.
Journal ArticleDOI

Caustics in a meridional plane produced by plano-convex aspheric lenses.

TL;DR: Using the caustic formulas and a paraxial approximation, analytic expressions are derived to evaluate the spherical aberration to the third order, and a formula to reduce this aberration is provided.
Journal ArticleDOI

Refracting the k-function: Stavroudis's solution to the eikonal equation for multielement optical systems.

TL;DR: Refracting the k-function of Stavroudis as mentioned in this paper describes a solution of the eikonal equation in a region of constant refractive index, which can be repeated any number of times, and therefore extends the usefulness of the kfunction formalism to multielement optical systems.
Journal ArticleDOI

Properties of caustics produced by a positive lens: meridional rays

TL;DR: The formation of the caustic surfaces formed in both convex-plane and plano-convex spherical lenses is studied by considering a plane wave incident on the lens along the optical axis and analytical expressions are derived to evaluate the spherical aberration to third order.
Journal ArticleDOI

Caustics in a meridional plane produced by concave conic mirrors.

TL;DR: Using the caustic formula and a paraxial approximation, analytic expressions are derived to evaluate the spherical aberration at the third order and the circle of least confusion for a concave conic mirror as a function of all parameters involved in the process of reflection.
References
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Journal ArticleDOI

Some highlights in reflector antenna development

A. W. Love
- 01 Aug 1976 - 
TL;DR: Reflector antennas have been used since the radio pioneering era of Lodge, Hertz, and Marconi, but it took the exigent demands of radar in World War II to stimulate a real development in the reflector art as discussed by the authors.
Journal ArticleDOI

Studies of the focal region of a spherical reflector: Geometric optics

TL;DR: In this paper, the classical optics of the spherical reflector were reviewed and extended with particular application to the focal region, where three reflected rays intersect at any field point P (P on the interior of the caustic surface, but off the axial caustics, and the points of incidence of the three rays and their optical path lengths from a common reference plane were calculated, providing the necessary phase and divergence information for the focal regions.
Journal ArticleDOI

Exact Calculation of the Circle of Least Confusion of a Rotationally Symmetric Mirror. II

TL;DR: The position and dimensions of the circle of least confusion (CLC) on axis for a lensless Schmidt camera telescope operating at F(0.82) are calculated and a technique to locate the CLC was developed for an aspherical mirror for any on-axis position of the point light source.
Journal ArticleDOI

Computation of the disk of least confusion for conic mirrors

TL;DR: This work uses geometrical optics to compute, in an exact way and by using the third-order approximation, the disk of least confusion (DLC) or the best image produced by a conic reflector when the point source is located at any position on the optical axis.
Proceedings ArticleDOI

Optical design of the Hobby-Eberly Telescope four-mirror spherical aberration corrector

TL;DR: The Hobby-Eberly Telescope Four Mirror Spherical Aberration Corrector as discussed by the authors uses a 11m diameter F/1.45 segmented spherical primary mirror to correct spherical aberration.
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