Wave-front conversion between a Gaussian beam with a cylindrical phase and a plane wave for on-axis off-Bragg incidence

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

Volumn 13, Issue 1, 1996, Pages 131-138

  Calvo, María L ^b  

^a National Aerospace Institute   (United States)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346446832     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.13.000131     Document Type: Article

References (26)

1. J. W. Goodman, “Fan-in and fan-out with optical interconnections,” Opt. Acta 32, 1489–1496 (1985).
2. L. Rudolph, D. G. Feitelson, and E. Schenfeld, “An optical interconnection network with 3-D layout and distributed control,” in Optical Interconnections and Networks, H. Bartelt, ed., Proc. Soc. Photo-Opt. Instrum. Eng. 1281, 54–65 (1990).
3. E. N. Glytsis and T. K. Gaylord, “Rigorous 3-D coupled- wave diffraction analysis of multiple superimposed gratings in anisotropic media,” Appl. Opt. 28, 2401–2421 (1989).
4. 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).
5. M. G. Moharam and T. K. Gaylord, “Rigorous coupled-wave analysis of planar-grating diffraction,” J. Opt. Soc. Am. 71, 811–818 (1981).
6. K-Y. Tu, T. Tamir, and H. Lee, “Multiple-scattering theory of wave diffraction by superimposed volume gratings,” J. Opt. Soc. Am. A 7, 1421–1435 (1990).
7. K-Y. Tu and T. Tamir, “Full-wave multiple-scattering analysis of diffraction by superimposed gratings,” J. Opt. Soc. Am. A 11,181-197 (1994).
8. R-S. Chu and T. Tamir, “Bragg diffraction of Gaussian beams by periodically modulated media,” J. Opt. Soc. Am. 66, 220–226 (1976).
9. R-S. Chu and J. A. Kong, “Diffraction of optical beams with arbitrary profiles by a periodically modulated layer,” J. Opt. Soc. Am. 70, 1–6 (1980).
10. P. Cheben and M. L. Calvo, “Wave-front conversion between a Gaussian beam with a cylindrical phase function and a plane wave in a monomode on-axis transmission holographic coupler,” J. Opt. Soc. Am. A 10, 2573–2580 (1993).
11. R. K. Kostuk, “Diffractive optic design for board-level freespace optical interconnects,” in Diffractive Optics, Vol. 11 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1994), pp. 64–67.
12. M. R. Wang and F. Lin, “Design of achromatic grating couplers for backplane optical interconnections,” in Diffraction Optics, Vol. 11 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1994), pp. 68–71.
13. B. J. Chang and C. D. Leonard, “Dichromated gelatin for the fabrication of holographic optical elements,” Appl. Opt. 18, 2407–2417 (1979).
14. L. Solymar and D. J. Cooke, Volume Holography and Volume Gratings (Academic, Oxford, 1981).
15. R. Courant and D. Hilbert, Methods of Mathematical Physics (Interscience, New York, 1953), Vol. 2, pp. 449–461.
16. S. L. Sobolev, Partial Differential Equations of Mathematical Physics (Dover, New York, 1984), pp. 58–71.
17. C. G. Shull, “Observation of Pendellosung fringe structure in neutron diffraction,” Phys. Rev. Lett. 21,1585-1589 (1968).
18. C. G. Shull, “Perfect crystals and imperfect neutrons,” J. Appl. Cryst. 6, 257–266 (1973).
19. S. Kikuta, J. Ishikawa, K. Kohra, and S. Hoshino, “Studies on dynamical diffraction phenomena of neutrons using properties of wave fan,” J. Phys. Soc. Jpn. 39, 471–478 (1975).
20. S. Zhang and T. Tamir, “Spatial modifications of Gaussian beams diffracted by reflection gratings,” J. Opt. Soc. Am. A 6, 1368–1381 (1989).
21. H. L. Bertoni, C. W. Hsue, and T. Tamir, “Non-specular reflection of convergent beams from liquid-solid interface,” Trait. Signal 2, 201–205 (1985).
22. P. B. Nagy, K. Cho, L. Adler, and D. E. Chimenti, “Focal shift of convergent ultrasonic beams reflected from a liquid-solid interface,” J. Acoust. Soc. Am. 81, 835–839 (1987).
23. D. N. Christodoulides and M. I. Carvalho, “Compression, self-bending, and collapse of Gaussian beams in photorefrac- tive crystals,” Opt. Lett. 19, 1714–1716 (1994).
24. P. Phariseau, “On the diffraction of light by progressive supersonic waves,” Proc. Ind. Acad. Sci. 44A, 165–170 (1956).
25. M. G. Moharam and L. Young, “Criterion for Bragg and Raman-Nath diffraction regimes,” Appl. Opt. 17, 1757–1759 (1978).
26. B. Benlarbi, D. J. Cooke, and L. Solymar, “Higher order modes in thick phase gratings,” Opt. Acta 27, 885–895 (1980).