OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 31, Iss. 25 — Sep. 1, 1992
  • pp: 5312–5316

Quantitative comparison of the general Sweatt model and the grating equation

Michael W. Farn  »View Author Affiliations

Applied Optics, Vol. 31, Issue 25, pp. 5312-5316 (1992)

View Full Text Article

Enhanced HTML    Acrobat PDF (419 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



When using the general Sweatt model for ray tracing diffractive optical elements (binary optics, holographic optical elements, etc.), lens designers must choose an index of refraction that is sufficiently high to avoid significant errors in the ray trace. We derived two new criteria for a sufficiently high index of refraction. To avoid significant errors, the index must satisfy these two new criteria in addition to Sweatt’s originally suggested criterion. In almost all cases the new criteria require a higher index than Sweatt’s original criterion.

© 1992 Optical Society of America

Original Manuscript: January 8, 1991
Published: September 1, 1992

Michael W. Farn, "Quantitative comparison of the general Sweatt model and the grating equation," Appl. Opt. 31, 5312-5316 (1992)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. W. C. Sweatt, “Mathematical equivalence between a holographic optical element and an ultra-high index lens,” J. Opt. Soc. Am. 69, 486–487 (1979). [CrossRef]
  2. For example, see W. T. Welford, “Vector raytracing equation for hologram lenses of arbitrary shape,” Opt. Commun. 14, 322–323 (1975). [CrossRef]
  3. W. C. Sweatt, “Describing holographic optical elements as lenses,” J. Opt. Soc. Am. 67, 803–808 (1977). [CrossRef]
  4. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1980), p. 469.

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