Efficient refinement algorithm for the synthesis of inhomogeneous optical coatings

Applied Optics

Volumn 36, Issue 7, 1997, Pages 1487-1495

  Verly, P G ^a   Tikhonravov, A V ^b   Trubetskov, M K ^b  

^a NATIONAL RESEARCH COUNCIL CANADA   (Canada)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Coating; Design; Filter; Inhomogeneous; Optical; Refinement; Rugate; Synthesis; Thin film

Indexed keywords

EID: 0000764909     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.36.001487     Document Type: Article

References (34)

1. P. Baumeister, “Design of multilayer filters by successive approximations,” J. Opt. Soc. Am. 48, 955-958 (1958).
2. J. A. Aguilera, J. Aguilera, P. Baumeister, A. Bloom, D. Coursen, J. A. Dobrowolski, F. T. Goldstein, D. E. Gustafson, and R. A. Kemp, “Antireflection coatings for germanium IR optics: a comparison of numerical methods,” Appl. Opt. 27, 2832-2840 (1988).
3. J. A. Dobrowolski and R. A. Kemp, “Refinement of optical multilayer systems with different optimization procedures,”Appl. Opt. 29, 2876-2893 (1990).
4. A. Premoli and M. L. Rastello, “Minimax refining of wideband antireflection coatings for wide angular incidence,” Appl. Opt. 33, 2018-2024 (1994).
5. J. A. Dobrowolski and S. Piotrowski, “Refractive index as a variable in the numerical design of optical thin film systems,”Appl. Opt. 21, 1502-1510 (1982).
6. A. V. Tikhonravov and M. K. Trubetskov, “Development of the needle optimization technique and new features of “Optilayer” design software,” in Optical Interference Coatings, F. Abeles, ed., Proc. SPIE 2253, 10-20 (1994).
7. A. V. Tikhonravov and J. A. Dobrowolski, “Quasi-optimal synthesis for antireflection coatings,” Appl. Opt. 32, 4265-4275(1993).
8. J. A. Dobrowolski, “Substractive method of optical thin film interference filter design,” Appl. Opt. 12, 1885-1893 (1973).
9. J. A. Dobrowolski and D. Lowe, “Optical thin film synthesis program based on the use of Fourier transforms,” Appl. Opt. 17, 3039-3050 (1978).
10. J. A. Dobrowolski and P. G. Verly, eds., Inhomogeneous and Quasi-Inhomogeneous Optical Coatings, Proc. SPIE 2046(1993).
11. R. Jacobson, Inhomogeneous and Coevaporated Homogeneous Films for Optical Applications, Vol. 8 of Physics of Thin Films Series (Academic, New York, 1976).
12. W. H. Southwell, “Coating design using very thin high- and low-index layers,” Appl. Opt. 24, 457-460 (1985).
13. R. W. Bertram, M. F. Ouellette, and P. Y. Tse, “Inhomogeneous optical coatings: an experimental study of a new approach,” Appl. Opt. 28, 2935-2939 (1989).
14. B. G. Bovard, “Rugate filter theory: an overview,” Appl. Opt. 32, 5427-5442 (1993).
15. R. L. Hall, “Experimental aspects of rugate filter fabrication,” in Optical Interference Coatings, Vol. 17 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), pp. 14-16.
16. J. Allen, B. D. Herrington, P. G. Girow, and T. Slim, “Digitized rugate filters for laser rejection,” in Ref. 10, pp. 126-131.
17. C. G. Snedacker, “New numerical thin film synthesis technique,” J. Opt. Soc. Am. 72, 1732A (1982).
18. P. G. Verly, “Design of inhomogeneous and quasiinhomogeneous coatings at the NRC,” in Ref. 10, pp. 36-45.
19. C. Van der Laan and H. J. Frankena, “Fast computation method for derivatives of multilayer stack reflectance,” Appl. Opt. 17, 538-541 (1978).
20. J. A. Dobrowolski, “Comparison of the Fourier transform and flip-flop thin film synthesis methods,” Appl. Opt. 25, 1966-1972 (1986).
21. T. C. Chen, “Turning point method of optimized multilayer design,” Proc. Inst. Electr. Eng. 137, 101-107 (1990).
22. S. Furman and A. V. Tikhonravov, Optics of Multilayer Systems (Editions Frontieres, Gif-sur-Yvette, 1992).
23. A. V. Tikhonravov, “Some theoretical aspects of thin film optics and their applications,” Appl. Opt. 32, 5417-5426 (1993).
24. P. E. Gill and W. Murray, “Minimization subject to bounds on the variables,” NPL rep. NAC 72 (National Physical Laboratory, Teddington, Middlesex, UK, 1976).
25. P. E. Gill and W. Murray, User’s Manual, IMSL Math/Library, FORTRAN Subroutines for Mathematical Applications (IMSL Problem Solving Software Systems, Houston, Tex., 1989), p. 847.
26. T. R. Cuthbert, Jr., Optimization Using Personal Computers (Wiley, New York, 1987), Chap. 5.
27. W. H. Press, S. A. Teukdlski, W. T. Vetterlin, and B. P. Flannery, Numerical Recipes (Cambridge U. Press, Cambridge, 1992), pp. 418-423.
28. P. G. Verly, J. A. Dobrowolski, and R. R. Willey, “Fouriertransform method for the design of wideband antireflection coatings,” Appl. Opt. 31, 3836-3846 (1992).
29. J. A. Dobrowolski, A. V. Tikhonravov, M. K. Trubetskov, B. T. Sullivan, and P. G. Verly, “Optimal single-band normal-incidence antireflection coatings,” Appl. Opt. 35, 644-658(1996).
30. P. Baumeister, “Simulation of a rugate filter via a stepped-index dielectric multilayer,” Appl. Opt. 25, 2644-2645 (1986).
31. M. Zukic and K. H. Guenther, “Design of nonpolarizing achromatic beamsplitters with dielectric multilayer coatings,”Opt. Eng. 28, 165-171 (1989).
32. G. W. DeBell, A. V. Tikhonravov, and M. K. Trubetskov, “Use of a new synthesis algorithm to design polarisation insensitive optical coatings,” in Optical Thin Films IV: New Developments, J. D. Rancourt, ed., Proc. SPIE 2262, 187-197 (1994).
33. P. G. Verly, “Fourier-transform technique with frequency filtering for optical thin-film design,” Appl. Opt. 34, 688-694(1995).
34. A. V. Tikhonravov, M. K. Trubetskov, I. V. Zuev, and P. G. Verly, “Efficient refinement of inhomogeneous optical coatings,” in Optical Interference Coatings, Vol. 17 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), pp. 22-24.