OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 21, Iss. 18 — Sep. 15, 1996
  • pp: 1508–1510

Analysis of gratings with large periods and small feature sizes by stitching of the electromagnetic field

Ben Layet and Mohammad R. Taghizadeh  »View Author Affiliations

Optics Letters, Vol. 21, Issue 18, pp. 1508-1510 (1996)

View Full Text Article

Enhanced HTML    Acrobat PDF (417 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present a new method for the analysis of diffractive optical elements, which we refer to as field stitching. It is suitable for use with grating structures of arbitrarily large period, even when the local feature size is of the order of a wavelength. Furthermore, the concept is straightforwardly extendable to aperiodic structures. To assess its applicability, we have calculated the diffracted orders from a 1 × 81 fan-out grating with periods of 100λ and 10, 000λ. The field-stitched calculations agree very well with independent rigorous predictions for the small-period element and scalar-regime predictions for the large-period element. We believe that a variety of areas within the diffractive-optics field will benefit from this new analytical tool. It promises accurate analysis and, by facilitating component optimization, high-performance designs.

© 1996 Optical Society of America

Original Manuscript: February 12, 1996
Published: September 15, 1996

Ben Layet and Mohammad R. Taghizadeh, "Analysis of gratings with large periods and small feature sizes by stitching of the electromagnetic field," Opt. Lett. 21, 1508-1510 (1996)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. G. Moharam, T. K. Gaylord, J. Opt. Soc. Am. 71, 811 (1981). [CrossRef]
  2. I. C. Botten, M. S. Craig, R. C. McPhedran, J. L. Adams, J. R. Andrewartha, Opt. Acta 28, 413 (1981). [CrossRef]
  3. R. Petit, ed., Electromagnetic Theory of Gratings (Springer-Verlag, Berlin, 1980). [CrossRef]
  4. K. Knop, J. Opt. Soc. Am. 68, 1206 (1978). [CrossRef]
  5. J. T. Sheridan, C. J. R. Sheppard, J. Opt. Soc. Am. A 4, 614 (1993). [CrossRef]
  6. F. Montiel, M. Nevière, J. Opt. Soc. Am. A 12, 2672 (1995). [CrossRef]

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