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Applied Optics

Applied Optics


  • Vol. 34, Iss. 20 — Jul. 10, 1995
  • pp: 4149–4158

Rectangular characteristic gratings for waveguide input and output coupling

Mark L. Jones, Richard P. Kenan, and Carl M. Verber  »View Author Affiliations

Applied Optics, Vol. 34, Issue 20, pp. 4149-4158 (1995)

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Normal-incidence planar-optical waveguide-imbedded phase gratings of finite aperture width and length are analyzed with Svidzinskii’s [Sov. J. Quantum Electron. 10, 1103 (1980)] two-dimensional Bragg-diffraction theory. Svidzinskii’s characteristic-grating equations are adapted for the rectangular-grating case, and an overlap integral is used to extend the theory to account for the mode structure of the waveguide. The combined theory is used to optimize the throughput of a system composed of an input grating coupler, a waveguide, and an output grating coupler for both the highly multimode (thick-waveguide) and the few-mode (thin-waveguide) cases.

© 1995 Optical Society of America

Original Manuscript: September 12, 1994
Revised Manuscript: February 9, 1995
Published: July 10, 1995

Mark L. Jones, Richard P. Kenan, and Carl M. Verber, "Rectangular characteristic gratings for waveguide input and output coupling," Appl. Opt. 34, 4149-4158 (1995)

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  1. G. N. Lawrence, P. J. Cronkite, “Physical optics analysis of the focusing grating coupler,” Appl. Opt. 27, 672–678 (1988). [CrossRef] [PubMed]
  2. K. K. Svidzinskii, “Optical properties of specially shaped waveguide diffraction gratings,” Sov. J. Quantum Electron. 11, 1323–1327 (1981). [CrossRef]
  3. F. Lin, E. M. Strzelecki, T. Jannson, “Optical multiplanar VLSI interconnects based on multiplexed waveguide holograms,” Appl. Opt. 29, 1126–1133 (1990). [CrossRef] [PubMed]
  4. S. Tang, R. T. Chen, “1-to-42 optoelectronic interconnection for intra-multichip-module clock signal distribution,” Appl. Phys. Lett. 64, 2931–2933 (1994). [CrossRef]
  5. W. Driemeier, “Coupled-wave analysis of the Bragg effect waveguide coupler,” J. Mod. Opt. 38, 363–377 (1991). [CrossRef]
  6. F. Sauer, “Fabrication of diffractive–reflective optical interconnects for infrared operation based on total internal reflection,” Appl. Opt. 28, 386–388 (1989). [CrossRef] [PubMed]
  7. H. Kogelnik, “Coupled wave theory for thick hologram gratings,” Bell Syst. Tech J. 48, 2909–2947 (1969).
  8. L. Solymar, “A general two-dimensional theory for volume holograms,” Appl. Phys. Lett. 31, 820–822 (1977). [CrossRef]
  9. L. Solymar, M. P. Jordan, “Finite beams in large volume holograms,” Microwaves Opt. Acoust. 1(3), 89–92 (1977). [CrossRef]
  10. P. St. J. Russell, L. Solymar, “The properties of holographic overlap gratings,” Opt. Acta 26, 329–347 (1979). [CrossRef]
  11. K. K. Svidzinskii, “Theory of Bragg diffraction by limited-aperture gratings in a planar optical waveguide,” Sov. J. Quantum Electron. 10, 1103–1109 (1980). [CrossRef]
  12. D. Marcuse, Theory of Dielectric Optical Waveguides (Academic, Boston, Mass., 1991).
  13. R. P. Kenan, “Theory of crossed-beam diffraction gratings,” IEEE J. Quantum Electron. QE-14, 924–930 (1978). [CrossRef]
  14. See Ref. 7; this coupling constant expression is valid only for Δn ≪ n2.
  15. See Ref. 13; Eq. (18), p. 925.
  16. See Ref. 12; Eq. (1.4–18), p. 24.

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