Design of axis-symmetrical optical element with two aspherical surfaces for generation of prescribed irradiance distribution
S.V. Kravchenko, M.A. Moiseev, L.L. Doskolovich, N.L. Kazanskiy

Full text of article: Russian language.

Abstract:
Method of design of axis-symmetrical refractive optical element with two aspherical surfaces for generation of prescribed radially-symmetrical irradiance distribution is presented. The computation problem is reduced to the integration of set of three first-order differential equations solved for the derivatives. The performance of two optical element designs with spherical and aspherical inner surface is compared. The design with aspherical inner surface produces light efficiency of 80-90% for illuminated regions with angular size of 0°-160°.

Key words:
optical element design, irradiance distribution, light-emitting diode, nonimaging optics.

References:

  1. Belousov, A.A. A gradient method of designing optical elements for forming a speci?ed irradiance on a curved surface / A.A. Belousov, L.L. Doskolovich, S.I. Kharito­nov // J. Opt. Technol. - 2008. - Vol. 75, N 3. - P. 161-165. - ISSN 1070-9762.
  2. Moiseev, M.A. Design of refractive spline surface for generating required irradiance distribution with large angular dimension / M.A. Moiseev, L.L. Doskolovich // J. Mod. Opt. - 2010. - Vol. 57, N 7. - P. 536-544. - ISSN 0950-0340.
  3. Moiseev, M.A. Design of high-efficient freeform LED lens for illumination of elongated rectangular regions / M.A. Moiseev, L.L. Doskolovich, N.L. Kazanskiy // Optics Express. - 2011. - Vol. 19, N S3. - P. A225-A233. - ISSN 1094-4087.
  4. Ding, Y. Freeform LED lens for uniform illumination / Y. Ding, X. Liu, Zh. Zheng, P. Gu // Optics Express. - 2008. - Vol. 16(17). - P. 12958-12966. - ISSN 1094-4087.
  5. Zheng, Zh. Freeform surface lens for LED uniform illumination / Zh. Zheng, X. Hao, X. Liu // Applied Optics. - 2009. - Vol. 48(35). - P. 6627-6634. - ISSN 1559-128X.
  6. Luo, Y. Design of compact and smooth free-form optical system with uniform illuminance for LED source / Y. Luo, Z. Feng, Y. Han, H. Li // Optics Express. - 2010. - Vol. 18(9). - P. 9055-9063. - ISSN 1094-4087.
  7. Elmer, W.B. Optical design of reflectors. Part 2 / W.B. Elmer // Applied Optics. - 1978. - Vol. 17, N 7. - P. 977-979. - ISSN 0003-6935.
  8. Dmitriev, A.Yu. Design of refracting surface to generate a line-segment directivity diagram / A.Yu. Dmitriev, L.L. Doskolovich // Computer Optics. - 2010. - Vol. 34, N 4. - P. 476-480. - ISSN 0134-2452. - (in Russian).
  9. Doskolovich, L.L. Design of radially-symmetrical refractive surface taking into account Fresnel loss / L.L. Doskolovich, M.A. Moiseev // Computer Optics. - 2008. - Vol. 32, № 2. - P. 201-203. - ISSN 0134-2452. - (in Russian).
  10. Doskolovich, L.L. Design of refractive optical element producing line-shaped directivity diagram / L.L. Do­skolovich, M.A. Moiseev // Computer Optics. - 2008. - Vol. 32, N 4. - P. 366-369. - ISSN 0134-2452. - (in Russian).
  11. Methods for computer design of diffractive optical elements / ed. V.A. Soifer. - New York: John Wiley & Sons, Inc., 2002. - 765 p.
  12. Born, M. Principles of optics / M. Born, E. Wolf. - Cambridge: Cambridge University Press, 2003. - 952 p.
  13. Butcher, J.Ch. Numerical methods for ordinary differential equations / J.Ch. Butcher. - Chichester: Wiley, 2003. - 428 p.

© 2009, IPSI RAS
Institution of Russian Academy of Sciences, Image Processing Systems Institute of RAS, Russia, 443001, Samara, Molodogvardeyskaya Street 151; E-mail: ko@smr.ru; Phones: +7 (846) 332-56-22, Fax: +7 (846) 332-56-20