УДК: 535.317; 681.7
An analytical method for estimating how the design parameters affect the characteristics of optical systems
Full text «Opticheskii Zhurnal»
Full text on elibrary.ru
Publication in Journal of Optical Technology
A. A. Shekhonin, A. V. Ivanov, L. I. Przhevalinskiĭ, and T. I. Zhukova, "An analytical method for estimating how the design parameters affect the characteristics of optical systems," Journal of Optical Technology. 79(5), 277-282 (2012).
This paper discusses a method for calculating the deviations of the coordinates of a ray on an arbitrary surface of an optical system when the design parameters of the preceding surface are perturbed. The method imposes no restrictions on the symmetry class of the system.
optical systems design, sensitivity analysis, aberrations, analytical method
References:1. T. B. Andersen, “Automatic computation of optical aberration coefficients,” Appl. Opt. 19, 3800 (1980).
2. D. P. Feder, “Calculation of an optical merit function and its derivatives with respect to system parameters,” J. Opt. Soc. Am. 52, 913 (1962).
3. D. P. Feder, “Differentiation of ray-tracing equation with respect to construction parameters of rotationally symmetric optics,” J. Opt. Soc. Am. 58, 1494 (1968).
4. A. E. Conrady, Applied Optics and Optical Design, Part II (Dover, New York, 1960).
5. M. Rimmer, “Analysis of perturbed lens systems,” Appl. Opt. 9, 533 (1970).
6. S. A. Rodionov, Automation of Optical-System Design. A Textbook (Mashinostroenie, Leningrad, 1982).
7. S. A. Rodionov, “Calculating the differentials of rays through optical systems,” Izv. Vyssh. Uchebn. Zaved. SSSR Prib. 23, No. 3, 72 (1960).
8. M. Herzberger, Modern Geometrical Optics (Interscience Publishers, New York, 1958; Inostran. Lit., Moscow, 1962).
9. S. A. Rodionov, “Matrix apparatus of Gaussian optics in the neighborhood of an arbitrary ray,” Opt. Spektrosk. 50, 969 (1981). [Opt. Spectrosc. (USSR) 50, 531 (1981)].