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Optics Letters

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  • Vol. 24, Iss. 5 — Mar. 1, 1999
  • pp: 273–275

Field stitching algorithm for the analysis of electrically large diffractive optical elements

Dennis W. Prather, Shouyuan Shi, and Jonathan S. Bergey  »View Author Affiliations


Optics Letters, Vol. 24, Issue 5, pp. 273-275 (1999)
http://dx.doi.org/10.1364/OL.24.000273


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Abstract

A rigorous electromagnetic algorithm is presented for the analysis of electrically large diffractive optical elements (DOE’s), i.e., those that contain small features and have large apertures compared with the wavelength of illumination. The technique uses a finite-sized analysis window within which a rigorous electromagnetic technique is used to solve the local boundary-value problem. To this end the boundary-element and finite-difference time-domain methods are used. The analysis window is translated over the entire surface of the DOE and stitches together the complete solution. We validate the techniques by comparing the stitched boundary fields with those of a complete analysis, in both magnitude and phase, for a binary lens. To illustrate the utility of our method we analyzed an eight-level diffractive lens with a 10, 000-wavelength diameter sampled at 0.05 wavelength that required 8 Mbytes of memory on a desktop personal computer.

© 1999 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1970) Diffraction and gratings : Diffractive optics
(260.2110) Physical optics : Electromagnetic optics

Citation
Dennis W. Prather, Shouyuan Shi, and Jonathan S. Bergey, "Field stitching algorithm for the analysis of electrically large diffractive optical elements," Opt. Lett. 24, 273-275 (1999)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-24-5-273


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References

  1. B. Layet and M. R. Taghizadeh, Opt. Lett. 21, 1508 (1996).
  2. B. Layet and M. R. Taghizadeh, J. Opt. Soc. Am. A 14, 1554 (1997).
  3. D. W. Prather, M. S. Mirotznik, and J. N. Mait, J. Opt. Soc. Am. A 14, 34 (1997).
  4. S. Shi and D. W. Prather, “Application of an efficient FDTD-based algorithm to the analysis of diffractive optical elements,” submitted to Opt. Eng.
  5. D. A. Pommet, M. G. Moharam, and E. B. Grann, J. Opt. Soc. Am. A 11, 1827 (1994).
  6. D. A. Gremaux and N. C. Gallagher, Appl. Opt. 32, 1948 (1993).
  7. D. W. Prather and S. Shi, “Formulation and application of the finite-difference time-domain method for the analysis of axially symmetric diffractive optical elements,” J. Opt. Soc. Am. A (to be published).
  8. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).

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