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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 22, Iss. 7 — Jul. 1, 2005
  • pp: 1293–1303

Three-dimensional converging-diverging Gaussian beam diffraction by a volume grating

Shun-Der Wu, Thomas K. Gaylord, Elias N. Glytsis, and Yu-Ming Wu  »View Author Affiliations


JOSA A, Vol. 22, Issue 7, pp. 1293-1303 (2005)
http://dx.doi.org/10.1364/JOSAA.22.001293


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Abstract

The diffraction characteristics of a volume grating (VG) illuminated by a three-dimensional (3-D) converging-diverging Gaussian beam at conical incidence are investigated by applying 3-D finite-beam (FB) rigorous coupled-wave analysis (RCWA) based on the conventional 3-D RCWA in conjunction with two-dimensional plane-wave decomposition. The Gaussian beam is assumed to have an arbitrary incidence angle, an arbitrary azimuthal angle, and any linear polarization. The two cases with linear polarizations of the central beam of the Gaussian (E _|_ K and H _|_ K) are investigated. The diffraction efficiencies and the diffracted beam profiles for both unslanted VGs and slanted VGs (designed for substrate-mode optical interconnects) are presented. In general, the diffraction efficiencies of a converging-diverging spherical Gaussian beam diffracted by both unslanted VGs and slanted VGs increase and approach the central-beam results as the refractive-index modulation increases.

© 2005 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory
(050.7330) Diffraction and gratings : Volume gratings
(260.2110) Physical optics : Electromagnetic optics

Citation
Shun-Der Wu, Thomas K. Gaylord, Elias N. Glytsis, and Yu-Ming Wu, "Three-dimensional converging-diverging Gaussian beam diffraction by a volume grating," J. Opt. Soc. Am. A 22, 1293-1303 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-7-1293


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References

  1. J.-H. Yeh and R. K. Kostuk, "Substrate-mode holograms used in optical interconnects: design issues," Appl. Opt. 34, 3152-3164 (1995).
  2. J.-H. Yeh and R. K. Kostuk, "Free-space holographic optical interconnects for board-to-board and chip-to-chip interconnects," Opt. Lett. 21, 1274-1276 (1996).
  3. T. Tanaka, H. Takahashi, Y. Hibino, T. Hashimoto, A. Himeno, Y. Yamada, and Y. Tohmori, "Hybrid external cavity lasers composed of spot-size converter integrated LDs and UV written Bragg grating in a planar lightwave circuit on Si," IEICE Trans. Electron. E83-C, 875-883 (2000).
  4. S. M. Schultz, E. N. Glytsis, and T. K. Gaylord, "Design, fabrication, and performance of preferential-order volume grating waveguide couplers," Appl. Opt. 39, 1223-1232 (2000).
  5. R. A. Villalaz, E. N. Glytsis, and T. K. Gaylord, "Volume grating couplers: polarization and loss effect," Appl. Opt. 41, 5223-5229 (2002).
  6. S.-D. Wu and E. N. Glytsis, "Volume holographic grating couplers: rigorous analysis using the finite-difference frequency-domain method," Appl. Opt. 43, 1009-1023 (2004).
  7. B. Wang, J. Jiang, and G. P. Nordin, "Compact slanted grating couplers," Opt. Express 12, 3313-3326 (2004).
  8. S. L. Chuang and J. A. Kong, "Wave scattering from a periodic dielectric surface for a general angle of incidence," Radio Sci. 17, 545-557 (1982).
  9. M. G. Moharam and T. K. Gaylord, "Three-dimensional vector coupled-wave analysis of planar-grating diffraction," J. Opt. Soc. Am. 73, 1105-1112 (1983).
  10. M. G. Moharam, E. B. Grann, D. A. Pommet, and 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).
  11. E. Popov and L. Mashev, "Conical diffraction mounting generalization of a rigorous differential method," J. Opt. 17, 175-180 (1986).
  12. S. D. Gupta, "Theoretical study of plasma resonance absorption in conical diffraction," J. Opt. Soc. Am. B 4, 1893-1898 (1987).
  13. R. A. Depine, "Conformal mapping method for finitely conducting diffraction gratings in conical mountings," Optik (Stuttgart) 81, 95-102 (1989).
  14. M. Gigli and R. A. Depine, "Conical diffraction from uniaxial gratings," J. Mod. Opt. 42, 1281-1299 (1995).
  15. M. Abe and A. Koshiba, "Three-dimensional diffraction analysis of dielectric surface-relief gratings," J. Opt. Soc. Am. A 11, 2038-2044 (1994).
  16. P. Cornet, J. Chandezon, and C. Faure, "Conical diffraction of a plane-wave by an inclined parallel-plate grating," J. Opt. Soc. Am. A 14, 437-449 (1997).
  17. M. Ohki, H. Tateno, and S. Kozaki, "T-matrix analysis of the electromagnetic wave diffraction from a metallic Fourier grating for an arbitrary incidence and polarization," Int. J. Electron. 85, 787-796 (1998).
  18. M. G. Moharam, T. K. Gaylord, and R. Magnusson, "Bragg diffraction of finite beams by thick gratings," J. Opt. Soc. Am. 70, 300-304 (1980).
  19. G. Notni and R. Kowarschik, "Simultaneous diffraction of two finite waves at a nonuniform mixed dynamic transmission grating," J. Opt. Soc. Am. A 7, 1475-1482 (1990).
  20. P. Boffi, J. Osmond, D. Piccinin, M. C. Ubaldi, and M. Martinelli, "Diffraction of optical communication Gaussian beams by volume gratings: comparison of simulations and experimental results," Appl. Opt. 43, 3854-3865 (2004).
  21. R.-S. Chu and T. Tamir, "Bragg diffraction of Gaussian beams by periodically modulated media," J. Opt. Soc. Am. 66, 220-226 (1976).
  22. R.-S. Chu and T. Tamir, "Diffraction of Gaussian beams by periodically modulated media for incidence close to a Bragg angle," J. Opt. Soc. Am. 66, 1438-1440 (1976).
  23. B. Benlarbi, P. St. J. Russell, and L. Solymar, "Diffraction of a Gaussian beam incident upon a thick phase grating," Int. J. Electron. 52, 209-216 (1982).
  24. B. Benlarbi, P. St. J. Russell, and L. Solymar, "Bragg diffraction of Gaussian beams by thick gratings: numerical evaluations by plane-wave decomposition," Appl. Phys. B: Photophys. Laser Chem. 28, 383-390 (1982).
  25. Em. E. Kriezis, P. K. Pandelakis, and A. G. Papagiannakis, "Diffraction of a Gaussian beam from a periodic planar screen," J. Opt. Soc. Am. A 11, 630-636 (1994).
  26. M. D. McNeill and T.-C. Poon, "Gaussian-beam profile shaping by acousto-optic Bragg diffraction," Appl. Opt. 33, 4508-4514 (1994).
  27. D. C. Skigin and R. A. Depine, "Model theory for diffraction from a dielectric aperture with arbitrarily shaped corrugations," Opt. Commun. 149, 117-126 (1998).
  28. O. Mata-Mendez and F. Chavez-Rivas, "Diffraction of a Gaussian and Hermite Gaussian beams by finite gratings," J. Opt. Soc. Am. A 18, 537-545 (2001).
  29. J. Sumaya-Martines, O. Mata-Mendez, and F. Chavez-Rivas, "Rigorous theory of the diffraction of Gaussian beams by finite gratings: TE polarizations," J. Opt. Soc. Am. A 20, 827-835 (2003).
  30. A. E. Siegman, "Bragg diffraction of a Gaussian beam by a crossed-Gaussian volume grating," J. Opt. Soc. Am. 67, 545-550 (1977).
  31. A. Y. Hamad and J. P. Wicksted, "Volume grating produced by intersecting Gaussian beams in an absorbing medium: a Bragg diffraction model," Opt. Commun. 138, 354-364 (1997).
  32. M. G. Moharam, T. K. Gaylord, and R. Magnusson, "Diffraction characteristics of three-dimensional crossed-beam volume gratings," J. Opt. Soc. Am. 70, 437-442 (1980).
  33. M. R. Wang, "Analysis and observation of finite beam Bragg diffraction by a thick planar phase grating," Appl. Opt. 35, 582-592 (1996).
  34. G. D. Landry and T. A. Maldonado, "Gaussian beam transmission and reflection from a general anisotropic multilayer structure," Appl. Opt. 35, 5870-5879 (1996).
  35. H. Kogelnik, "Coupled-wave theory for thick hologram gratings," Bell Syst. Tech. J. 48, 2909-2947 (1969).
  36. S.-D. Wu and E. N. Glytsis, "Holographic grating formation in photopolymers: analysis and experimental results based on a nonlocal diffusion model and rigorous coupled-wave analysis," J. Opt. Soc. Am. B 20, 1177-1188 (2003).
  37. S.-D. Wu and E. N. Glytsis, "Characteristics of DuPont photopolymers for slanted holographic grating formations," J. Opt. Soc. Am. B 21, 1722-1731 (2004).

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