Finite-number-of-periods holographic gratings with finite-width incident beams: Analysis using the finite-difference frequency-domain method

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 19, Issue 10, 2002, Pages 2018-2029

  Wu, Shun Der ^a   Glytsis, Elias N ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE DIFFERENCE METHOD; FREQUENCY DOMAIN ANALYSIS; HOLOGRAPHY; LIGHT POLARIZATION; LIGHT REFLECTION; LIGHT TRANSMISSION;

DIFFRACTION EFFICIENCY;

DIFFRACTION GRATINGS;

EID: 0041571725     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.19.002018     Document Type: Article

References (37)

1. D. A. B. Miller, "Physical reasons for optical interconnection," Special Issue on Smart Pixels, Int. J. Optoelectron. 11, 155-168 (1997).
2. D. A. B. Miller, "Rationale and challenges for optical interconnects to electric chips," Proc. IEEE 88, 728-749 (2000).
3. D. A. B. Miller, "Optical interconnects to silicon," IEEE J. Sel. Top. Quantum Electron. 6, 1312-1317 (2000).
4. M. C. Wu, "Micromachining for optical and optoelectronic systems," Proc. IEEE 85, 1833-1856 (1997).
5. S. Sinzinger and J. Janns, "Integrated micro-optical imaging system with a high interconnection capacity fabricated in planar optics," Appl. Opt. 36, 4729-4735 (1997).
6. A. C. Walker, T.-Y. Yang, J. Gourlay, J. A. B. Danes, M. G. Forbes, S. M. Prince, D. A. Baillie, D. T. Neilson, R. Williams, L. C. Wilkinson, G. R. Smith, M. P. Y. Desmulliez, G. S. Buller, M. R. Taghizadeh, A. Waddie, I. Underwood, C. R. Stanley, F. Pottier, B. Vögele, and W. Sibbett, "Optoelectronic systems based on InGaAs-complementary-metal-oxide-semiconductor smart-pixel arrays and free-space optical interconnects," Appl. Opt. 37, 2822-2830 (1998).
7. G. Verschaffelt, R. Buczynski, P. Tuteleers, P. Vynck, V. Baukens, H. Ottevaere, C. Debaes, S. Kufner, M. Kufner, A. Hermanne, J. Genoe, D. Coppée, R. Vounckx, S. Borghs, I. Veretennicoff, and H. Thienpont, "Demonstration of a monolithic multichannel module for multi-Gb/s intra-MCM optical interconnects," IEEE Photon. Technol. Lett. 10, 1629-1631 (1998).
8. D. T. Neilson and E. Schenfeld, "Free-space optical relay for the interconnection of multimode fibers," Appl. Opt. 38, 2291-2296 (1999).
9. R. T. Chen, L. Lin, C. Choi, Y. J. Liu, B. Bihari, L. Wu, S. Tang, R. Wickman, B. Picor, M. K. Hibbs-Brenner, J. Bristow, and Y. S. Liu, "Fully embedded board-level guided-wave optoelectronic interconnects," Proc. IEEE 88, 780-793 (2000).
10. J. M. Bendickson, E. N. Glytsis, and T. K. Gaylord, "Focusing diffractive cylindrical mirrors: rigorous evaluation of various design methods," J. Opt. Soc. Am. A 18, 1487-1494 (2001).
11. S. M. Schultz, E. N. Glytsis, and T. K. Gaylord, "Design of a high-efficiency volume grating couplers for line focusing," Appl. Opt. 37, 2278-2287 (1998).
12. S. M. Schultz, E. N. Glytsis, and T. K. Gaylord, "Volume grating preferential-order focusing waveguide coupler," Opt. Lett. 24, 1708-1710 (1999).
13. 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).
14. D. Mehuys, A. Hardy, D. F. Welch, R. G. Waarts, and R. Parke, "Analysis of detuned second-order grating output couplers with an integrated superlattice reflector," IEEE Photon. Technol. Lett. 3, 342-344 (1991).
15. N. Eriksson, M. Hagberg, and A. Larsson, "Highly efficient grating-coupled surface-emitters with single outcoupling elements," IEEE Photon. Technol. Lett. 7, 1394-1396 (1995).
16. J. C. Brazas, L. Li, and A. L. Mckeon, "High-efficiency input coupling into optical waveguides using gratings with double-surface corrugation," Appl. Opt. 34, 604-609 (1995).
17. M. Hagberg, T. Kjellberg, N. Eriksson, and A. G. Larsson, "Demonstration of blazing effect in second order gratings under resonant condition," Electron. Lett. 30, 410-412 (1994).
18. M. Hagberg, N. Eriksson, T. Kjellberg, and A. G. Larsson, "Demonstration of blazing effect in detuned second order gratings," Electron. Lett. 30, 570-571 (1994).
19. T. Liao, S. Sheard, M. Li, J. Zhu, and P. Prewett, "High-efficiency focusing waveguide grating couplers with paral-lelogramic groove profiles, " J. Lightwave Technol. 15, 1142-1148 (1997).
20. Z. Hegedus and R. Netterfield, "Low sideband guided-mode resonant filter," Appl. Opt. 39, 1469-1473 (2000).
21. T. K. Gaylord and M. G. Moharam, "Analysis and applications of optical diffraction by gratings," Proc. IEEE 73, 894-937 (1985).
22. E. 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).
23. J. M. Bendickson, E. N. Glytsis, and T. K. Gaylord, "Guided-mode resonant subwavelength gratings: effects of finite beams and finite gratings," J. Opt. Soc. Am. A 18, 1912-1928 (2001).
24. Y.-L. Kok, "General solution to the multiple-metallic-grooves scattering problem: the fast-polarization case," Appl. Opt. 32, 2573-2581 (1993).
25. O. Mata-Mendez and J. Sumaya-Martinez, "Scattering of TE-polarized waves by a finite-grating: giant resonant enhancement of the electric field within the grooves," J. Opt. Soc. Am. A 14, 2203-2211 (1997).
26. G. Pelosi, G. Manara, and G. Toso, "Heuristic diffraction coefficient for plane-wave scattering from edges in periodic planar surfaces," J. Opt. Soc. Am. A 13, 1689-1697 (1996).
27. K. Hirayama, E. N. Glytsis, T. K. Gaylord, and D. W. Wilson, "Rigorous electromagnetic analysis of diffractive cylindrical lenses, " J. Opt. Soc. Am. A 13, 2219-2231 (1996).
28. K. Hirayama, E. N. Glytsis, and T. K. Gaylord, "Rigorous electromagnetic analysis of diffraction by finite-number-of-periods gratings," J. Opt. Soc. Am. A 14, 907-917 (1997).
29. O. Mata-Mendez and F. Chavez-Rivas, "Diffraction of Gaussian and Hermite-Gaussian beams by finite gratings," J. Opt. Soc. Am. A 18, 537-545 (2001).
30. W.-C. Liu and M. W. Kowarz, "Vector diffraction from subwavelength optical disk structures: two-dimensional modeling of near-field profiles, far-field intensities, and detector signals from DVD," Appl. Opt. 38, 3787-3797 (1999).
31. Z. S. Sacks, D. M. Kingsland, R. Lee, and J.-F. Lee, "A perfectly matched anisotropic absorber for use as an absorbing boundary condition," IEEE Trans. Antennas Propag. 43, 1460-1463 (1995).
32. S. D. Gedney, "An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices," IEEE Trans. Antennas Propag. 44, 1630-1639 (1996).
33. A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method (Artech House, Norwood, Mass., 2000), Chaps. 6 and 7.
34. P. P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers (Cambridge U. Press, New York, 1996).
35. J. P. Bérenger, "Perfectly matched layer for the FDTD solution of wave-structure interaction problems," IEEE Trans. Antennas Propag. 44, 110-117 (1996).
36. J. P. Bérenger, "Improved PML for the FDTD solution of wave-structure interaction problems," IEEE Trans. Antennas Propag. 45, 466-473 (1997).
37. J. M. Bendickson, E. N. Glytsis, and T. K. Gaylord, "Scalar integral diffraction methods: unification, accuracy, and comparison with a rigorous boundary element method with application to diffractive cylindrical lenses," J. Opt. Soc. Am. A 15, 1822-1837 (1998).