Circle of least confusion of a spherical reflector

Applied Optics

Volumn 46, Issue 16, 2007, Pages 3107-3117

  Hosken, Robert W ^a  

^a AEROSPACE CORPORATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ABERRATIONS; TELESCOPES; WAVE EFFECTS;

CONCAVE SPHERICAL REFLECTORS; LEAST CONFUSION; SPHERICAL ABERRATION; TRACTABLE EQUATIONS;

MIRRORS;

EID: 34547382484     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.46.003107     Document Type: Article

References (18)

1. R. C. Spencer, "Focal region of a spherical reflector-circle of least confusion," Appl. Opt. 7, 1644-1645 (1968).
2. R. C. Spencer and G. Hyde, "Studies of the focal region of a spherical reflector: geometric optics," IEEE Trans. Antennas Propag. AP-16, 317-324 (1968).
3. A. W. Love, ed., Reflector Antennas (IEEE Press, 1978), pp. 359-366.
4. G. Silva-Ortigoza, J. Castro-Ramos, and A. Cordero-Davila, "Exact calculation of the circle of least confusion of a rotationally symmetric mirror. II," Appl. Opt. 40, 1021-1028 (2001).
5. A. Cordero-Dávila and J. Castro-Ramos, "Exact calculation of the circle of least confusion of a rotationally symmetric mirror," Appl. Opt. 37, 6774-6778 (1998).
6. J. Castro-Ramos, O. de Ita Prieto, and G. Silva-Ortigoza, "Computation of the disk of least confusion for conic mirrors," Appl. Opt. 43, 6080-6089 (2004).
7. R. K. Jungquist, "Optical design of the Hobby-Eberly telescope four mirror spherical aberration corrector," in Current Developments in Optical Design and Optical Engineering VIII, Proc. SPIE 3779, 2-16 (1999).
8. D. Korsch, Reflective Optics (Academic, 1991), pp. 115-116.
9. A. W. Love, "Some highlights in reflector antenna development," Radio Sci. 11, 671-684 (1976).
10. A. W. Love, ed., Reflector Antennas (IEEE Press, 1978), pp. 2-15.
11. Spencer used an iterative solution to a six-degree polynomial in his parameter: σ @ (2 sin θ*/tan).
12. 0 in Eq. (41) of Ref. 4 is our.
13. W. F. Osgood, Advanced Calculus (Macmillan, 1925), pp. 186-194.
14. 1 is our θ*.
15. W. T. Welford, Aberrations of Optical Systems (Adam Hilger, 1986), pp. 113-116.
16. W. J. Smith, Modern Optical Engineering (McGraw-Hill, 1966), pp. 386-387.
17. A. M. Ostrowski, Solutions of Equations in Euclidean and Banach Spaces (Academic, 1973), pp. 38-60.
18. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, 1961), pp. 22-24.