OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 17, Iss. 6 — Jun. 1, 2000
  • pp: 898–903

Diffraction properties of vector synthetic volume index gratings

Jianhua Zhao, Pochi Yeh, Monte Khoshnevisan, and Ian McMichael  »View Author Affiliations


JOSA B, Vol. 17, Issue 6, pp. 898-903 (2000)
http://dx.doi.org/10.1364/JOSAB.17.000898


View Full Text Article

Enhanced HTML    Acrobat PDF (219 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We investigate the diffraction properties of vector synthetic gratings, which consist of two volume index gratings with different grating wave vectors, using coupled-wave analysis. These index gratings can be obtained in photorefractive materials or in Bragg cells with two driving acoustic waves. We consider the case of pseudo phase matching in which a Bragg mismatch exists in the scattering from the individual index gratings while a Bragg condition is satisfied for the scattering from the vector sum of the two index gratings. Analytic expressions for the diffraction efficiency as well as the amplitude of the three waves involved are obtained. The results are presented and discussed.

© 2000 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory
(230.1950) Optical devices : Diffraction gratings

Citation
Jianhua Zhao, Pochi Yeh, Monte Khoshnevisan, and Ian McMichael, "Diffraction properties of vector synthetic volume index gratings," J. Opt. Soc. Am. B 17, 898-903 (2000)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-17-6-898


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. See, for example, P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988).
  2. R. Magnusson and T. D. Black, “Enhanced detection of acoustic waves using thick and thin reference gratings,” J. Opt. Soc. Am. A 4, 498–502 (1987). [CrossRef]
  3. D. A. Larson, T. D. Black, M. Green, R. G. Torti, Y. J. Wang, and R. Magnusson, “Optical modulation by a traveling surface acoustic wave and a holographic reference grating,” J. Opt. Soc. Am. A 7, 1745–1750 (1990). [CrossRef]
  4. H. Lee, X. Gu, and D. Psaltis, “Volume holographic interconnections with maximal capacity and minimal cross-talk,” J. Appl. Phys. 65, 2191–2194 (1989). [CrossRef]
  5. K. Tu, T. Tamir, and H. Lee, “Multiple scattering theory of wave diffraction by superposed volume gratings,” J. Opt. Soc. Am. A 7, 1421–1435 (1990). [CrossRef]
  6. P. Asthana, G. P. Nordin, A. R. Tanguay, and B. K. Jenkins, “Analysis of weighted fan-out/fan-in volume holographic optical interconnections,” Appl. Opt. 32, 1441–1469 (1993). [CrossRef] [PubMed]
  7. H. Kogelnik, “Coupled wave theory for thick holographic gratings,” Bell Syst. Tech. J. 48, 2909–2947 (1969). [CrossRef]
  8. F. G. Kaspar, “Diffraction by thick, periodically stratified gratings with complex dielectric constant,” J. Opt. Soc. Am. 63, 37–45 (1973). [CrossRef]
  9. T. C. Poon, M. R. Chatterjee, and P. P. Banerjee, “Multiple plane-wave analysis of acousto-optic diffraction by adjacent ultrasonic beams of frequency ratio 1:m,” J. Opt. Soc. Am. A 3, 1402–1406 (1986). [CrossRef]
  10. M. R. Chatterjee and S. T. Chen, “Multiple plane-wave scattering analysis of light diffraction by parallel Raman–Nath and Bragg ultrasonic cells with arbitrary frequency ratios,” J. Opt. Soc. Am. A 11, 637–648 (1994). [CrossRef]
  11. S. K. Case, “Coupled-wave theory for multiply exposed thick holographic gratings,” J. Opt. Soc. Am. 65, 724–729 (1975). [CrossRef]
  12. R. Alferness and S. K. Case, “Coupling in doubly exposed, thick holographic gratings,” J. Opt. Soc. Am. 65, 730–739 (1975). [CrossRef]
  13. R. Magnusson and T. K. Gaylord, “Analysis of multiwave diffraction of thick gratings,” J. Opt. Soc. Am. 67, 1165–1170 (1977). [CrossRef]
  14. T. Huang and K. Wagner, “Coupled mode analysis of polarization volume hologram,” IEEE J. Quantum Electron. 31, 372–390 (1995). [CrossRef]
  15. K. Tu and T. Tamir, “Wave diffraction by many superposed volume gratings,” Appl. Opt. 32, 3654–3660 (1993). [CrossRef] [PubMed]
  16. M. G. Moharam and T. K. Gaylord, “Rigorous coupled-wave analysis of planar grating diffraction,” J. Opt. Soc. Am. 71, 811–818 (1981). [CrossRef]
  17. M. G. Moharam and T. K. Gaylord, “Diffraction analysis of dielectric surface-relief gratings,” J. Opt. Soc. Am. 72, 1385–1392 (1982). [CrossRef]
  18. T. K. Gaylord and M. G. Moharam, “Analysis and applications of optical diffraction by gratings,” Proc. IEEE 73, 894–937 (1985). [CrossRef]
  19. E. N. Glytsis and T. K. Gaylord, “Three-dimensional (vector) rigorous coupled-wave analysis of anistropic grating diffraction,” J. Opt. Soc. Am. A 7, 1399–1420 (1990). [CrossRef]
  20. M. D. Feit and J. A. Fleck, Jr., “Light propagation in graded-index optical fibers,” Appl. Opt. 17, 3990–3998 (1978). [CrossRef] [PubMed]
  21. D. Yevick and L. Thylen, “Analysis of gratings by the beam propagation method,” J. Opt. Soc. Am. 72, 1084–1089 (1982). [CrossRef]
  22. J. Yu, D. Yevick, and D. Weidman, “A comparison of beam propagation and coupled-mode methods: application to optical fiber couplers,” Lightwave Technol. 12, 797–802 (1994). [CrossRef]
  23. S. Ahmed and E. N. Glytsis, “Comparison of beam propagation method and rigorous coupled-wave analysis for single and multiplexed volume gratings,” Appl. Opt. 35, 4426–4435 (1996). [CrossRef] [PubMed]

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.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited