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Rigorously aplanatic Descartes ovoids

Journal of the Optical Society of America A, 2021
It is known that, besides being stigmatic, spherical refracting surfaces are aplanatic at their Young points since they satisfy the Abbe sine condition rigorously. The Abbe sine condition is commonly applied to different optical systems using numerical methods or optimization processes, obtaining a design of approximately aplanatic systems.
Alberto Silva-Lora, Rafael Torres
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AFTERLOADING VAGINAL OVOIDS

American Journal of Roentgenology, 1969
An afterloading modification of the Fletcher vaginal ovoids for gynecologic radium therapy is described and illustrated. The afterloading ovoids have proven to be of great value in over 500 patient applications during the past 4 years. The many advantages of use of the afterloading system are stressed.
A E, Green   +2 more
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Achromatic stigmatism: achromatic Cartesian ovoid

Journal of the Optical Society of America A, 2022
Monochromatic and chromatic aberrations are imaging defects mainly studied from a geometrical optics point of view. These defects are treated through optimization and minimization methods to achieve acceptable performance in optical imaging systems, where the correct choice of glass materials is one of the main challenges.
Alberto Silva-Lora, Rafael Torres
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Ovoids of Parabolic Spaces

Geometriae Dedicata, 2000
The authors prove various results on ovoids of \(Q(6,q)\) and \(Q(4,q)\), the parabolic quadrics in, respectively, 6- and 4-dimensional projective space over the finite field of \(q\) elements. These results go from very well known ``folklore'' to constructing a new ovoid in \(Q(4,3^5)\).
Penttila, Tim, Williams, Blair
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Rouillieria ovoides

2014
Rouillieria aff. ovoides (Sowerby, 1815) Fig. 8.9–8.16 1971b aff. Rouillieria ovoides (J. Sowerby) —Ager, p. 394, pl. 14, pl. 15, fig. A. Material and occurrence. Seep 8 (PMO 224.924, PMO 224.926, PMO 224.931–932), seep 13 (PMO 224.906, PMO 227.426). Description. Quadrate outline, equally biconvex profile, rectimarginate anterior commissure. Discussion.
Sandy, Michael R.   +4 more
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Ovoids and Translation Ovals

Journal of the London Mathematical Society, 1997
The only known classes of ovoids in 3-dimensional projective spaces over fields of even order are the elliptic quadrics and the Tits ovoids. The authors present a common characterization of these two classes as follows. An ovoid \(\mathcal O\) of PG\((3,q)\), where \(q > 2\) is even, is an elliptic quadric or a Tits ovoid if and only if \(\mathcal O ...
Penttila, Tim, Praeger, Cheryl E.
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Ovoidal blocking sets and maximal partial ovoids of Hermitian varieties

Designs, Codes and Cryptography, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MARINO, Giuseppe, POLVERINO, Olga
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Superconical aplanatic ovoid singlet lenses

Journal of the Optical Society of America A, 2020
In this work, we return to Descartes’s idea to develop a formalism to construct rigorously stigmatic singlet lenses comprising two Cartesian surfaces. Optical systems are built using a considerable number of spherical surfaces, presenting in most cases spherical aberration.
Alberto Silva-Lora, Rafael Torres
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Ovoid Bodies-Reply

Archives of Ophthalmology, 1983
In Reply. —We performed TEM on ovoid bodies in 1980 and presented our results at the 19th North Japan Ophthalmological Society, which was conducted in Asahikawa in June 1981. Our article was accepted for publication in theArchiveson Feb 24, 1982. The second edition of Yanoff and Fine's ocular pathology textbook was not published at that time.
A. Kurosawa, H. Kurosawa
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Spreads, ovoids andS 5

Geometriae Dedicata, 1995
This paper focuses on ovoids of the Klein quadric \(Q^+ (5,q)\) admitting the symmetric group \(S_5\) as a group of automorphisms, and such that \(q\) and 30 are relatively prime, and \(q^2 - 1\) is not divisible by 5. Such an ovoid defines a translation plane of order \(q^2\) by the Klein correspondence.
Charnes, C., Dempwolff, U.
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