OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 67, Iss. 8 — Aug. 1, 1977
  • pp: 1039–1045

Application of linear programming to antireflection coating design

Philip Baumeister, Robert Moore, and Kenneth Walsh  »View Author Affiliations


JOSA, Vol. 67, Issue 8, pp. 1039-1045 (1977)
http://dx.doi.org/10.1364/JOSA.67.001039


View Full Text Article

Acrobat PDF (770 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The antireflection coatings consist of layers whose optical thicknesses are quater waves or multiples thereof. Linear programming is used to minimize the reflectance and at the same time restrain the refractive indices to values that are attainable. Examples are given of coatings for visual optics and for higher refractive index substrates such as lithium niobate.

© 1977 Optical Society of America

Citation
Philip Baumeister, Robert Moore, and Kenneth Walsh, "Application of linear programming to antireflection coating design," J. Opt. Soc. Am. 67, 1039-1045 (1977)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-67-8-1039


Sort:  Author  |  Journal  |  Reset

References

  1. O. S. Heavens, Optical Properties of Thin Solid Films (Butterworths, London, 1955), Sec. 7. 2.
  2. H. A. Macleod, Thin Film Optical Filters (American Elsevier, New York, 1969), Chap. 3.
  3. S. Knittl, Optics of Thin Films (Wiley, New York, 1976), p. 53.
  4. W. F. Geffcken, "Coatings of at least three layers of differing refractive index on nonmetallic objects for the reduction of their surface reflection" (German Patent No. 758767, 9 Nov. 1944).
  5. A. Thetford, Opt. Acta 16, 37 (1969).
  6. A. Mussett and A. Thelen, "Multilayer antireflection coatings," in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1970), Vol. 8, pp. 201–237.
  7. H. Pohlack, "Synthesis of optical interference coatings with prescribed spectral characteristics," in Jena Jahrbuch (VEB Carl Zeiss, Jena, German Democratic Republic, 1952) (in German).
  8. P. Kard, Opt. Spektrosc. 2, 236 (1957).
  9. R. Pegis, J. Opt. Soc. Am. 51, 1255 (1961).
  10. L. Young, IRE Trans. Microwave Theory Tech. MTT-7, 233 (1959).
  11. L. Young, J. Opt. Soc. Am. 51, 967 (1961).
  12. P. Kard, Loodus ja Matemaatika 1, 67 (1959) (in Estonian); for English translation, see AIP document No. PAPS JOSA- 67-1039 for 23 pages of material entilted "Optical Theory of Anti-Reflection Coatings." Order by PAPS number and journal reference from American Institute of Physics, Physics Auxiliary Publication Service, 335 East 45th Street, New York, N. Y. 10017. The price is $1.50 for each microfiche (98 pages), or $5 for photocopies of up to 30 pages with $0. 15 for each additional page over 30 pages. Airmail additional. Make checks payable to the American Institute of Physics. This material also appears in Current Physics Microfilm, the monthly microfilm edition of the complete set of journals published by AIP, on the frames immediately following this journal article.
  13. P. Kard, The Analysis and Synthesis of Multilayer Interference Coatings (Valgus, Tallinn, Estonia, 1971), pp. 79–91 (in Russian).
  14. S. Furman, Opt. Spectrosc. (USSR) 22, 344 (1967).
  15. J. Cox and G. Hass, "Antireflection coatings for optical and infrared optical materials," in Physics of Thin Films, edited by G. Hass and R. Thun (Academic, New York 1964), Vol. 2.
  16. V. Costich, Laser Focus 5, 41, No. 11 (1969).
  17. N. Uchida S. Miyazawa, and K. Ninomiya, J. Opt. Soc. Am. 60, 1375 (1970).
  18. G. Boyd, W. Bond, and H. Carter, J. Appl. Phys. 38, 1941 (1967).
  19. G. Matthaei, L. Young, and E. Jones, Microwave Filters Impedance Matching Networks and Coupling Structures (McGraw-Hill, New York, 1964), Chap. 6.
  20. J. Kelley, Jr., J. Soc. Ind. Appl. Math. 6, 15 (1958).
  21. R. Hamming, Numerical Methods for Scientists and Engineers (McGraw-Hill, New York, 1962), p. 225.
  22. Mathematical Programing Systems/360 Version 2, Linear and Separable Programing-User's Manual, Publication No. GH 20-04-76-2 (IBM, 1133 Westchester Ave., White Plains, N. Y., 1975).
  23. R. Jacobsson, "Inhomogeneous and Coevaporated Homogenous Films for Optical Applications," in Physics of Thin Films, edited by G. Hass, M. Francombe, and R. Hoffman (Academic, New York, 1975), Vol. 8, p. 51.
  24. S. Fujiwara, J. Opt. Soc. Am. 53, 880 (1963).
  25. S. Fujiwara, J. Opt. Soc. Am. 53, 1317 (1963).
  26. J. A. Dobrowolski, Appl. Opt. 4, 937 (1965).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited