OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 44, Iss. 19 — Jul. 1, 2005
  • pp: 3877–3884

Comparison of antireflection surfaces based on two-dimensional binary gratings and thin-film coatings

Mehrdad Shokooh-Saremi and Mir Mojtaba Mirsalehi  »View Author Affiliations

Applied Optics, Vol. 44, Issue 19, pp. 3877-3884 (2005)

View Full Text Article

Enhanced HTML    Acrobat PDF (144 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A comparison of antireflection surfaces based on the two-dimensional binary gratings and thin-film coatings is presented. First, a two-dimensional hybrid binary grating is proposed and analyzed by use of a vector-based implementation of the rigorous coupled-wave analysis method. The optimum parameters of the structure are determined and the effects that changing them have on spectral characteristics of the structure are studied. Then this structure is compared with multilayer thin-film antireflection filters. These filters are designed by genetic algorithm and needle methods, which are powerful methods for multilayer filter design. The comparison results show that the sensitivity of the grating to changes in the incident wavelength is high. However, a reflectance of the order of 10−3% at the design wavelength can be achieved. The sensitivity of designed antireflection thin-film filters to wavelength changes is lower, however, and the minimum achievable reflectance is higher.

© 2005 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(050.1950) Diffraction and gratings : Diffraction gratings
(230.4170) Optical devices : Multilayers
(310.1210) Thin films : Antireflection coatings

Original Manuscript: September 2, 2004
Revised Manuscript: January 7, 2005
Manuscript Accepted: January 12, 2005
Published: July 1, 2005

Mehrdad Shokooh-Saremi and Mir Mojtaba Mirsalehi, "Comparison of antireflection surfaces based on two-dimensional binary gratings and thin-film coatings," Appl. Opt. 44, 3877-3884 (2005)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. Neviere, E. Popov, Light Propagation in Periodic Media (Marcel Dekker, 2003).
  2. G. H. Derrick, R. C. McPhedran, D. Maystre, M. Neviere, “Crossed gratings: a theory and its application,” Appl. Phys. 18, 39–52 (1979). [CrossRef]
  3. M. G. Moharam, “Coupled wave analysis of two dimensional dielectric gratings,” in Holographic Optics: Design and Applications, I. Cindrich, ed., Proc. SPIE883, 8–11 (1988). [CrossRef]
  4. D. Maystre, M. Neviere, “Electromagnetic theory of crossed gratings,” J. Opt. 9, 301–306 (1978). [CrossRef]
  5. S. T. Han, Y. L. Tsao, R. M. Walser, M. F. Becker, “Electromagnetic scattering of two-dimensional surface relief gratings,” Appl. Opt. 31, 2343–2352 (1992). [CrossRef] [PubMed]
  6. L. Li, “New formulation of the Fourier modal method for crossed surface relief gratings,” J. Opt. Soc. Am. A 14, 2758–2767 (1997). [CrossRef]
  7. P. Vincent, “A finite difference method for dielectric and conducting crossed gratings,” Opt. Commun. 26, 293–296 (1978). [CrossRef]
  8. D. C. Dobson, J. A. Cox, “An integral equation method for biperiodic diffraction structures,” in International Conference on the Application and Theory of Periodic Structures, J. M. Lerner, W. R. McKinney, eds., Proc. SPIE1545, 106–113 (1991). [CrossRef]
  9. R. Bräuer, O. Bryngdahl, “Electromagnetic diffraction analysis of two-dimensional gratings,” Opt. Commun. 100, 1–5 (1993). [CrossRef]
  10. J.-J. Greffet, C. Baylard, P. Versaevel, “Diffraction of electromagnetic waves by crossed grating: a series solution,” Opt. Lett. 17, 1740–1742 (1992). [CrossRef] [PubMed]
  11. E. B. Grann, M. G. Moharam, “Hybrid two-dimensional subwavelength surface relief grating-mesh structures,” Appl. Opt. 35, 795–800 (1996). [CrossRef] [PubMed]
  12. G. S. Peng, G. M. Morris, “Efficient implementation of rigorous coupled wave analysis for surface relief gratings,” J. Opt. Soc. Am. A 12, 1087–1096 (1995). [CrossRef]
  13. M. G. Moharam, E. B. Grann, D. A. Pommet, T. K. Gaylord, “Formulation for stable and efficient implementation of the rigorous coupled wave analysis of binary gratings,” J. Opt. Soc. Am. A 12, 1068–1076 (1995). [CrossRef]
  14. E. Noponen, J. Turunen, “Eigenmode method for electromagnetic synthesis of diffractive elements with three-dimensional profiles,” J. Opt. Soc. Am. A 11, 2494–2502 (1994). [CrossRef]
  15. P. Lalanne, “Improved formulation of the coupled wave method for two-dimensional gratings,” J. Opt. Soc. Am. A 14, 1592–1598 (1997). [CrossRef]
  16. H. A. Macleod, Thin Film Optical Filters, 3rd ed. (IOP, 2001). [CrossRef]
  17. J. A. Dobrowolski, “Optical properties of films and coatings,” in Handbook of Optics, M. Bass, ed. (McGraw-Hill, 1995), pp. 42.1–42.130.
  18. D. E. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning (Addison-Wesley, 1989).
  19. D. S. Weile, E. Michielssen, “Genetic algorithms optimization applied to electromagnetics: a review,” IEEE Trans. Antennas Propag. 45, 343–353 (1997). [CrossRef]
  20. S. A. Furman, A. V. Tikhonravov, Basics of Optics of Multilayer Systems (Editions Frontiers, 1992).
  21. V. Tikhonravov, M. K. Trubetskov, G. W. DeBell, “Applications of the needle optimization technique to the design of optical coatings,” Appl. Opt. 35, 5493–5508 (1996). [CrossRef] [PubMed]
  22. E. Michielssen, S. Ranjithan, R. Mittra, “Optimal multilayer filter design using real-coded genetic algorithms,” IEE Proc. J 139, 413–420 (1992).
  23. J.-M. Yang, C.-Y. Kao, “An evolutionary algorithm for the synthesis of multilayer coatings at oblique incidence,” J. Lightwave Technol. 19, 559–570 (2001). [CrossRef]
  24. M. Shokooh-Saremi, M. Nourian, M. M. Mirsalehi, S. H. Keshmiri, “Design of multilayer polarizing beam splitters using genetic algorithm,” Opt. Commun. 233, 57–65 (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