OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 16 — Aug. 8, 2005
  • pp: 6111–6116

Near-field diffraction of irregular phase gratings with multiple phase-shifts

Yunlong Sheng and Li Sun  »View Author Affiliations

Optics Express, Vol. 13, Issue 16, pp. 6111-6116 (2005)

View Full Text Article

Enhanced HTML    Acrobat PDF (208 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A phase-step in a phase mask is not copied into the substrate but is split into two half-amplitude phase-shifts in the near-field because of the presence of an additional interference fringe system of the two beams diffracted from the two grating sections separated by the phase-step. In the case of multiple phase-shifts, the split phase-shifts from two adjacent phase-steps can crossover in the propagation without interfere. This paper contributes to understanding the near-field diffraction of irregular phase gratings with multiple phase-shifts, and provides a theoretical base for designing multiple phase-shifted phase masks for high channel-count phase-only sampled fiber Bragg gratings [1,2].

© 2005 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(050.1970) Diffraction and gratings : Diffractive optics
(050.5080) Diffraction and gratings : Phase shift
(060.5060) Fiber optics and optical communications : Phase modulation
(220.3740) Optical design and fabrication : Lithography

ToC Category:
Research Papers

Original Manuscript: June 29, 2005
Revised Manuscript: July 27, 2005
Published: August 8, 2005

Yunlong Sheng and Li Sun, "Near-field diffraction of irregular phase gratings with multiple phase-shifts," Opt. Express 13, 6111-6116 (2005)

Sort:  Journal  |  Reset  


  1. Y. Sheng, J. E Rothenberg, H. Li, Y. Wang and J. Zweiback, �??Split of phase-shift in a phase mask for fiber Bragg gratings,�?? IEEE Photonics Technol. Lett. 16, 1316-1318 (2004) [CrossRef]
  2. E. Rothenberg, Y. Sheng , H. Li, W. Ying and J. Zweiback, �??Diffraction compensation of masks for high channel-count phase-only sampled fiber Bragg gratings,�?? OSA Topical meeting on Bragg gratings, Photosensitivity and Poling in Glass Waveguides, Post deadline paper, PDP-2, September (2003).
  3. P. E. Dyer, R. J. Farley, and R. Giedl, �??Analysis of grating formation with excimer laser irradiated phase mask,�?? Opt. Commun. 115, 327-334 (1995) [CrossRef] [PubMed]
  4. J. A. R. Williams et al. "The effects of phase steps in e-beam written phase masks used for fiber grating fabrication by near-field holography,�?? ECOC 97, 187-190 (1997)
  5. Y. Qiu, Y. Sheng, and C. Beaulieu, "Optimal phase masks for fiber Bragg grating fabrication,�?? J. Lightwave Technol. 17, 2366-2370 (1999). [CrossRef]
  6. J. D. Mills, C. W. J. Hillman, B. H. Blott and W. S. Brocklesby, "Imaging of free-space interference patterns used to manufacture fiber Bragg gratings,�?? Appl. Opt. 39, 6129-6135 (2000) [CrossRef]
  7. N. M. Dragomir, C. Rollinson, S. Wade, A. J. Stevenson, S. F. Collins and G. W. Baxter, "Nondestructive imaging of a type I optical fiber Bragg grating,�?? Opt. Lett. 28, 789-791 (2003) [CrossRef] [PubMed]
  8. Y. Sheng, Y. Qiu and J. Wang , �??Diffraction of phase mask with stitching errors in fabrication of fiber Bragg gratings�??, Opt. Eng., Special section on Diffractive Optics 43, 2570-2574, (2004)
  9. R. Kashyyap, �??Fiber Bragg gratings�?? Chap. 6.1 (Academic, San Diego, 1999)
  10. V. Jayaraman. Z. Chuang and L. Coldren, �??Theory, Design, and Performance of Extended tuning Range Semiconductor Lasers with Sampled Gratings�?? IEEE J. Quantum Electron. 29, 1824-1834 (1993) [CrossRef]
  11. J.E. Rothenberg, H. Li, Y. Li, J. Popelek, Y. Sheng, Y. Wang, R. B. Wilcox and J. Zweiback, �??Dammann fiber Bragg gratings and phase-only sampling for high channel counts,�?? IEEE Photonics Technol. Lett. 14, 1309-1311, (2002). [CrossRef]
  12. H. Li, Y. Sheng, Y. Li and J. E. Rothenberg, " Phased-Only Sampled Fiber Bragg Gratings for High Channel Counts Chromatic Dispersion Compensation,�?? J. Lightwave Technol. 21, 2074-2083 (2003). [CrossRef]
  13. Y. Sheng, J. E. Rothenberg, H. Li, W. Ying and J. Zweiback, �??Phase mask design and phase mask for writing optical fiber Bragg gratings,�?? International Patent PCT, WO 03/062880 (2003).
  14. L. Poladian, B. Ashton and W. Padden, �??Interactive design and fabrication of complex FBGs,�?? OFC paper WL1, Tech. Digest vol.1, 378-79 (2003)
  15. B. J. Lin, �??Electromagnetic Near-Field Diffraction of a medium Slit,�?? J. Opt. Soc. Am. 62, 976-981 (1972) [CrossRef]
  16. Z. S. Hegedus, �??Contact printing of Bragg gratings in optical fibers: rigorous diffraction analysis,�?? Appl. Opt. 36, 247-252 (1997)

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.


Fig. 1. Fig. 2. Fig. 3.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited