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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 68, Iss. 9 — Sep. 1, 1978
  • pp: 1206–1210

Rigorous diffraction theory for transmission phase gratings with deep rectangular grooves

K. Knop  »View Author Affiliations


JOSA, Vol. 68, Issue 9, pp. 1206-1210 (1978)
http://dx.doi.org/10.1364/JOSA.68.001206


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Abstract

The diffraction of light by deep rectangular-groove transmission phase gratings is treated by solving Maxwell’s equations numerically. Results are given for the light diffracted into the zero order by gratings with grating constants <i>d</i> in the range λ < <i>d</i> < 5λ, aspect ratio <i>b</i> (= linewidth/<i>d</i>), 0 < <i>b</i> < 1, and grating depths <i>a</i> < 5λ, assuming a refractive index <i>n</i><sub>0</sub> = 1.5. Such gratings are used in practice as a dye-free replacement for color filters. They offer a new way of storing pictorial information in small format for read out in conventional projectors.

© 1978 Optical Society of America

Citation
K. Knop, "Rigorous diffraction theory for transmission phase gratings with deep rectangular grooves," J. Opt. Soc. Am. 68, 1206-1210 (1978)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-68-9-1206


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References

  1. R. Petit, "Electromagnetic Grating Theories: Limitations and Successes," Nouv. Rev. Opt. 6, 129–135 (1975).
  2. M. T. Gale, J. Kane, and K. Knop, "ZOD Images: Embossable Surface-Relief Structures for Color and Black-and-White Reproduction," J. Appl. Phot. Eng. 4, 41–47 (1978).
  3. K. Knop, "Color Pictures using the Zero Diffraction Order of Phase-Grating Structures," Opt. Commun. 18, 298–303 (1976).
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  11. H. R. Schwarz, H. Rutishauser, and E. Stiefel, "Numerik symmetrischer Matrizen" (Teubner, Stuttgart, 1972), Chap. 4.
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