Abstract

This paper discusses how to design refractive optical elements to form a specified irradiance distribution on a curvilinear surface when a compact light source is used. The calculation is based on representing the surface of the element in terms of the distribution of the eikonal of the light field in an adjacent plane. The eikonal is defined in the form of a polynomial. The design of the refractive surface is based on gradient minimization of an error functional representing the difference of the calculated and specified irradiances of the field. An analytical expression is obtained for the gradient of the error functional. Refractive elements are designed for the formation of a rectangular irradiance distribution on flat and cylindrical surfaces.

© 2008 Optical Society of America

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2005 (1)

2002 (1)

1998 (3)

1996 (1)

1983 (1)

A. V. Goncharskiĭ, V. A. Danilov, V. V. Popov, A. M. Prokhorov, I. N. Sisakyan, V. A. Soĭfer, and V. V. Stepanov, “Solving the inverse problem of the focusing of laser radiation into an arbitrary curve,” Dokl. Akad. Nauk BSSR 273, 605 (1983) A. V. Goncharskiĭ, V. A. Danilov, V. V. Popov, A. M. Prokhorov, I. N. Sisakyan, V. A. Soĭfer, and V. V. Stepanov[Sov. Phys. Dokl. 28, 955 (1983)].

1982 (1)

V. A. Danilov, V. V. Popov, A. M. Prokhorov, D. M. Sagatelyan, I. N. Sisakyan, and V. A. Soĭfer, “Synthesizing optical elements that create a focal line of arbitrary shape,” Pis'ma Zh. Tekh. Fiz. 8, 810 (1982) V. A. Danilov, V. V. Popov, A. M. Prokhorov, D. M. Sagatelyan, I. N. Sisakyan, and V. A. Soĭfer[Sov. Tech. Phys. Lett. 8, 351 (1982)].

Appl. Opt. (4)

Dokl. Akad. Nauk BSSR (1)

A. V. Goncharskiĭ, V. A. Danilov, V. V. Popov, A. M. Prokhorov, I. N. Sisakyan, V. A. Soĭfer, and V. V. Stepanov, “Solving the inverse problem of the focusing of laser radiation into an arbitrary curve,” Dokl. Akad. Nauk BSSR 273, 605 (1983) A. V. Goncharskiĭ, V. A. Danilov, V. V. Popov, A. M. Prokhorov, I. N. Sisakyan, V. A. Soĭfer, and V. V. Stepanov[Sov. Phys. Dokl. 28, 955 (1983)].

J. Opt. Soc. Am. A (2)

Pis'ma Zh. Tekh. Fiz. (1)

V. A. Danilov, V. V. Popov, A. M. Prokhorov, D. M. Sagatelyan, I. N. Sisakyan, and V. A. Soĭfer, “Synthesizing optical elements that create a focal line of arbitrary shape,” Pis'ma Zh. Tekh. Fiz. 8, 810 (1982) V. A. Danilov, V. V. Popov, A. M. Prokhorov, D. M. Sagatelyan, I. N. Sisakyan, and V. A. Soĭfer[Sov. Tech. Phys. Lett. 8, 351 (1982)].

Other (9)

A. V. Goncharskiĭ, V. V. Popov, and V. V. Stepanov, Introduction to Computer Optics (Izd. Mosk. Gos. Univ., Moscow, 1991).

V. A. Danilov, B. E. Kinber, and A. E. Shilov, “Theory of coherent focusers,” in Computer Optics (MTsNTI, Moscow, 1987), vol. 1, pp. 40-52.

W. B. Elmer, The Optical Design of Reflectors (Wiley, New York, 1985).

M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference, and Diffraction of Light (Pergamon Press, Oxford, 1965; Nauka, Moscow, 1970).

A. A. Belousov, L. L. Doskolovich, and S. I. Kharitonov, “Gradient method of calculating the eikonal for focusing in a given region,” Avtometriya 43, No. 3 (2007).

http://www.lambdares.com/products/tracepro/index.phtml.

A. V. Volkov, D. L. Golovashkin, L. L. Doskolovich, N. L. Kazanskiĭ, V. V. Kotlyar, V. S. Pavel'ev, R. V. Skidanov, V. A. Soĭfer, V. S. Solov'ev, G. V. Usplen'ev, S. I. Kharitonov, and S. N. Khonina, Methods of Computer Optics, ed. V.A.Soĭfer (Fizmatlit, Moscow, 2003).

V. A. Soifer, L. L. Doskolovich, D. L. Golovashkin, S. I. Kharitonov, S. N. Khonina, V. V. Kotlyar, V. S. Paveliev, R. V. Skidanov, V. S. Soloviev, A. V. Volkov, and G. V. Uspleniev, Methods For Computer Design of Diffractive Optical Elements, ed. V.A.Soifer (John Wiley & Sons, Inc., 2002).

V. A. Danilov, V. V. Popov, A. M. Prokhorov, D. M. Sagatelyan, E. V. Sisakyan, I. N. Sisakyan, and V. A. Soĭfer, “Optical elements that focus coherent radiation into an arbitrary focal line,” Preprint No. 69 (FIAN USSR, Moscow, 1983).

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