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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 2 — Jan. 10, 2007
  • pp: 147–153

Varied line-space grating for flat spectral response of coupling to single-mode fiber

X.-P. Huang, Scott M. Spuler, and Andrew D. Sappey  »View Author Affiliations

Applied Optics, Vol. 46, Issue 2, pp. 147-153 (2007)

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We use a planar linear grating with varied line-space grooves to introduce a tailored one-dimensional phase variation profile that results in an aberrated point-spread function at the focal plane. A design procedure for the period chirp map for such gratings is developed. As an example, we present theoretical and experimental results on a mechanically ruled, varied line-space echelle grating in single-mode fiber-coupled optical multiplexers in the wavelength region of 1545   nm . The varied line-space grating changes the multiplexer's Gaussian spectral response function to a flat-top dependence with reduced sensitivity to source laser wavelength drift.

© 2007 Optical Society of America

OCIS Codes
(050.1590) Diffraction and gratings : Chirping
(060.4230) Fiber optics and optical communications : Multiplexing
(230.1950) Optical devices : Diffraction gratings

ToC Category:
Diffraction and Gratings

Original Manuscript: July 7, 2006
Revised Manuscript: September 5, 2006
Manuscript Accepted: September 11, 2006

X.-P. Huang, Scott M. Spuler, and Andrew D. Sappey, "Varied line-space grating for flat spectral response of coupling to single-mode fiber," Appl. Opt. 46, 147-153 (2007)

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  1. E. G. Loewen and E. Popov, Diffraction Gratings and Applications (Marcel Dekker, 1997).
  2. K. Kudo, "Optical properties of plane-grating monochromator," J. Opt. Soc. Am. 55, 150-161 (1965). [CrossRef]
  3. M. V. R. K. Murty, "Theory and principles of monochromators, spectrometers, and spectrographs," Opt. Eng. 13, 23-39 (1974).
  4. J. P. Schwenker, "Astigmatism-corrected gratings for plane grating-spherical mirror spectrographs," Appl. Opt. 31, 6102-6010 (1992). [CrossRef] [PubMed]
  5. C. Palmer and W. R. McKinney, "Equivalence of focusing conditions for holographic and varied line-space grating systems," Appl. Opt. 29, 47-51 (1990). [CrossRef] [PubMed]
  6. M. C. Hettrick and S. Bowyer, "Variable line-space gratings: new designs for use in grazing incidence spectrometers," Appl. Opt. 22, 3921-3924 (1983). [CrossRef] [PubMed]
  7. M. C. Hettrick, "Aberrations of varied line-space grazing incidence gratings in a converging light beam," Appl. Opt. 23, 3221-3235 (1984). [CrossRef] [PubMed]
  8. M. Itou, T. Harada, and T. Kita, "Soft x-ray monochromators with a varied-space plane grating for synchrotron radiation: design and evaluation," Appl. Opt. 28, 146-153 (1989). [CrossRef] [PubMed]
  9. C. Palmer and W. R. McKinney, "Imaging theory of plane-symmetric varied line-space grating systems," Opt. Eng. 33, 820-829 (1994). [CrossRef]
  10. M. Bissen, M. Fisher, and G. Rogers, "Comparison of blazed and laminar profile varied line spacing gratings," in Gratings and Grating Monochromators for Synchrotron Radiation, W. R. McKinney and C. A. Palmer, eds., Proc. SPIE 3150, 130-136 (1997). [CrossRef]
  11. M. Koike and T. Namioka, "Plane gratings for high-resolution grazing-incidence monochromators: holographic grating versus mechanically ruled varied-line-spacing grating," Appl. Opt. 36, 6308-6318 (1997). [CrossRef]
  12. T. Kita and T. Harada, "Ruling engine using a piezoelectric device for large and high-groove density gratings," Appl. Opt. 31, 1399-1406 (1992). [CrossRef] [PubMed]
  13. C. G. Chen, P. T. Konkola, R. K. Heilmann, C. Joo, and M. L. Schattenburg, "Nanometer-accurate grating fabrication with scanning beam interference lithography," in Nano- and Microtechnology: Materials, Processes, Packaging, and Systems, D. K. Sood, A. P. Malshe, and R. Maeda, eds., Proc. SPIE 4936, 126-134 (2002). [CrossRef]
  14. Y. Xie, X. Xu, Y. Hong, Y. Liu, S. Fu, S. He, and B. Jin, "Fabrication of varied-line-spacing grating by elastic medium," Opt. Express 12, 3894-3899 (2004). [CrossRef] [PubMed]
  15. A. D. Sappey, P. Huang, R. Harr, and G. Murphy, "Echelle grating dense wavelength division multiplexer/demultiplexer," U.S. patent 6,647,182 B2 (11 November 2003).
  16. A. D. Sappey and B. W. Bach, "Apparatus and method for the reduction of polarization sensitivity in diffraction gratings used in fiber optic communications devices," U.S. patent 6,400,509 (4 June 2002).
  17. W. T. Cathey and E. Dowski, "New paradigm for imaging systems," Appl. Opt. 41, 6080-6092 (2002). [CrossRef] [PubMed]
  18. S. Prasad, T. C. Torgersen, V. P. Pauca, R. J. Plemmons, and J. van der Gracht, "Engineering the pupil phase to improve image quality," in Visual Information Processing XII, Z. Rahman, R. A. Schowengerdt, and S. E. Reichenbach, eds., Proc. SPIE 5108, 1-12 (2003).
  19. R. E. Wagner and W. J. Tomlinson, "Coupling efficiency of optics in single-mode fiber components," Appl. Opt. 21, 2671-2688 (1982). [CrossRef] [PubMed]
  20. R. W. Gerchburg and W. O. Saxton, "A practical algorithm for determination of phase from image and diffraction plane pictures," Optik 53, 237-246 (1972).
  21. J. R. Fienup, "Phase retrieval algorithms: a comparison," Appl. Opt. 21, 2758-2769 (1982). [CrossRef] [PubMed]
  22. F. Wyrowski, "Diffractive optical elements: iterative calculation of quantized, blazed phase structures," J. Opt. Soc. Am. A 7, 961-969 (1990). [CrossRef]
  23. K. Okamoto and H. Yamada, "Arrayed-waveguide grating multiplexer with flat spectral response," Opt. Lett. 20, 43-45 (1995). [CrossRef] [PubMed]
  24. D. M. Trouchet, "Multiplexer/demultiplexer with flattened spectral response," U.S. patent 6,141,152 (31 October 2002).
  25. T. Kamalakis and T. Sphicopoulos, "An efficient technique for the design of an array-waveguide grating with flat spectral response," J. Lightwave Technol. 19, 1716-1725 (2001). [CrossRef]
  26. G. G. Cappiello and R. H. Dueck, "Wavelength division multiplexing/demultiplexing devices employing patterned optical components," U.S. patent 6,415,073 B1 (2 July 2002).
  27. P. Huang and S. Spuler, "Apparatus and method for producing a flat-topped filter response for (de)multiplexer having a diffraction grating with variable line spacing," U.S. patent 6,754,412 B2 (22 June 2004).

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