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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 67, Iss. 8 — Aug. 1, 1977
  • pp: 1004–1009

Inhomogeneous optical waveguide lens analysis

W. H. Southwvell  »View Author Affiliations


JOSA, Vol. 67, Issue 8, pp. 1004-1009 (1977)
http://dx.doi.org/10.1364/JOSA.67.001004


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Abstract

Gradient-index ray-tracing techniques are used to evaluate performance of inhomogeneous optical waveguide lenses. Using the thin-film waveguide parameters including the lens thickness profile, the phase error and diffraction pattern are derived. The procedure is applied to a classical Luneburg index profile for which exact results are known. The results indicate that better than diffraction-limited accuracy can be achieved with reasonable computer running times. A second example demonstrates the procedure on lens profiles approximating generalized Luneburg lenses (image surface is outside the lens).

© 1977 Optical Society of America

Citation
W. H. Southwvell, "Inhomogeneous optical waveguide lens analysis," J. Opt. Soc. Am. 67, 1004-1009 (1977)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-67-8-1004


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References

  1. D. B. Anderson, R. L. Davis, J. T. Boyd, and R. R. August, "Comparison of Optical Waveguide Lens Technologies," J. Quantum Electron., Special Issue Integrated Optics, QE13, 275 (1977).
  2. R. K. Luneburg, Mathematical Theory of Optics (University of California, Berkeley, 1966), p. 187.
  3. P. K. Tien, "Light Waves in Thin Films and Integrated Optics," Appl. Opt. 10, 2395 (1971).
  4. L. Montagnino, "Ray Tracing in Inhomogeneous Media," J. Opt. Soc. Am. 58, 1667 (1968).
  5. M. Born and E. Wolf, Principles of Optics (Pergamon, London, 1970), p. 137.
  6. J. W. Goodman, Introduction to Fourier Optics (McGraw- Hill, New York, 1968), p. 61.
  7. S. P. Morgan, "General Solution of the Luneburg Lens Problem," J. Appl. Phys. 29, 1358 (1958). The exact overlayer profiles yielding Morgan's solutions for the generalized Luneburg lens will be published in a forthcoming paper by Southwell.

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