OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 47, Iss. 28 — Oct. 1, 2008
  • pp: 5103–5109

Application of constrained optimization to the design of quasi-rugate optical coatings

Alexander V. Tikhonravov, Michael K. Trubetskov, and Tatiana V. Amotchkina  »View Author Affiliations


Applied Optics, Vol. 47, Issue 28, pp. 5103-5109 (2008)
http://dx.doi.org/10.1364/AO.47.005103


View Full Text Article

Enhanced HTML    Acrobat PDF (1494 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The constrained optimization approach is applied to the design of quasi-rugate optical coatings. These coatings are defined as multilayers with no thin layers where refractive index profiles resemble rugate-type refractive index profiles and where spectral properties are typical for rugate filters. It is shown that all design problems that are usually solved using rugate filters can be solved successfully in the frame of quasi-rugate optical coatings. Comparison between quasi-rugate and two-component multilayer designs is provided.

© 2008 Optical Society of America

OCIS Codes
(310.4165) Thin films : Multilayer design
(310.5696) Thin films : Refinement and synthesis methods
(310.6805) Thin films : Theory and design

ToC Category:
Thin Films

History
Original Manuscript: July 2, 2008
Manuscript Accepted: July 24, 2008
Published: September 23, 2008

Citation
Alexander V. Tikhonravov, Michael K. Trubetskov, and Tatiana V. Amotchkina, "Application of constrained optimization to the design of quasi-rugate optical coatings," Appl. Opt. 47, 5103-5109 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-28-5103


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. W. H. Southwell and R. L. Hall, “Rugate filter sidelobe suppression using quintic and rugated quintic matching layers,” Appl. Opt. 28, 2949-2951 (1989). [CrossRef] [PubMed]
  2. W. H. Southwell, “Using apodization functions to reduce sidelobes in rugate filters,” Appl. Opt. 28, 5091-5094 (1989). [CrossRef] [PubMed]
  3. B. G. Bovard, “Rugate filter theory: an overview,” Appl. Opt. 32, 5427-5442 (1993). [CrossRef] [PubMed]
  4. J. A. Dobrowolski and D. Lowe, “Optical thin film synthesis program based on the use of Fourier transform,” Appl. Opt. 17, 3039-3050 (1978). [CrossRef] [PubMed]
  5. P. G. Verly, J. A. Dobrowolski, W. J. Wild, and R. L. Burton, “Synthesis of high rejection filters with the Fourier transform method,” Appl. Opt. 28, 2864-2875 (1989). [CrossRef] [PubMed]
  6. B. G. Bovard, “Rugate filter design: the modified Fourier transform technique,” Appl. Opt. 29, 24-30 (1990). [CrossRef] [PubMed]
  7. R. R. Willey, P. G. Verly, and J. A. Dobrowolski, “Design of wideband antireflection coating with the Fourier transform method,” Proc. SPIE 1270, 36-44 (1990). [CrossRef]
  8. P. G. Verly, J. A. Dobrowolski, and R. R. Willey, “Fourier-transform method for the design of wideband antireflection coatings,” Appl. Opt. 31, 3836-3846 (1992). [CrossRef] [PubMed]
  9. A. V. Tikhonravov, M. K. Trubetskov, T. V. Amotchkina, M. A. Kokarev, N. Kaiser, O. Stenzel, S. Willbrandt, and D. Gäbler, “New optimization algorithm for the synthesis of rugate optical coatings,” Appl. Opt. 45, 1515-1524 (2006). [CrossRef] [PubMed]
  10. P. G. Verly, “Hybrid approach for rugate filter design,” Appl. Opt. 47, C172-C178 (2008). [CrossRef] [PubMed]
  11. P. V. Bulkin, P. L. Swart, and B. M. Lacquet, “Fourier-transform design and electron cyclotron resonance plasma-enhanced deposition of lossy graded-index optical coatings,” Appl. Opt. 35, 4413-4419 (1996). [CrossRef] [PubMed]
  12. D. Poitras, S. Larouche, and L. Martinu, “Design and plasma deposition of dispersion-corrected multiband rugate filters,” Appl. Opt. 41, 5249-5255 (2002). [CrossRef] [PubMed]
  13. M. Lappschies, B. Görtz, and D. Ristau, “Application of optical broadband monitoring to quasi-rugate filters by ion-beam sputtering”, Appl. Opt. 45, 1502-1506 (2006). [CrossRef] [PubMed]
  14. A. V. Tikhonravov and M. K. Trubetskov, “Design of multilayers featuring inhomogeneous coating properties,” Proc. SPIE 2776, 48-57 (1996). [CrossRef]
  15. V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, J. Pistner, F. Krausz, and A. Apolonski, “Band filters: two-material technology versus rugate,” Appl. Opt. 46, 1190-1193 (2007). [CrossRef] [PubMed]
  16. W. H. Southwell, “Coating design using very thin high- and low-index layers,” Appl. Opt. 24, 457-460 (1985). [CrossRef] [PubMed]
  17. J. Allen and B. Herrington, “Digitized rugate filters for laser rejection,” Proc. SPIE 2046, 126-131 (1993). [CrossRef]
  18. Y. Wada, N. Toyohara, Y. Shinta, Sh. Iura, K. Takahashi, and K. Kawamata, “Design of minus filters using arbitrary refractive index films,” in Proceedings of Optical Interference Coatings on CD-ROM (Optical Society of America, 2007), paper TuB5.
  19. J. A. Dobrowolski, “Numerical methods for optical thin films,” Opt. Photonics News 8, 24-33 (1997). [CrossRef]
  20. P. G. Verly, A. V. Tikhonravov, and M. K. Trubeskov, “Efficient refinement of inhomogeneous optical coatings: synthesis by simultaneous thickness and refractive index optimization,” Proc. SPIE 3133, 46-52 (1997). [CrossRef]
  21. P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization (Academic, 1981).
  22. A. V. Tikhonravov, “Some theoretical aspects of thin film optics and their applications,” Appl. Opt. 32, 5417-5426 (1993). [CrossRef] [PubMed]
  23. A. N. Tikhonov, A. V. Tikhonravov, and M. K. Trubetskov. “Second order optimization methods in the synthesis of multilayer coatings.,” Comp. Maths. Math. Phys. 33, 1339-1352 (1993).
  24. A. Thelen, Design of Optical Interference Coatings (McGraw-Hill, 1988).
  25. A. V. Tikhonravov, M. K. Trubetskov, T. V. Amotchkina, and M. A. Kokarev, “Key role of the coating total optical thickness in solving design problems,” Proc. SPIE 5250, 312-321 (2004). [CrossRef]

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