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

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  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.

1977 (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).

1971 (1)

1968 (1)

1958 (1)

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.

Anderson, D. B.

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).

August, R. R.

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).

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon, London, 1970), p. 137.

Boyd, J. T.

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).

Davis, R. L.

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).

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (McGraw- Hill, New York, 1968), p. 61.

Luneburg, R. K.

R. K. Luneburg, Mathematical Theory of Optics (University of California, Berkeley, 1966), p. 187.

Montagnino, L.

Morgan, S. P.

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.

Tien, P. K.

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon, London, 1970), p. 137.

Appl. Opt. (1)

J. Appl. Phys. (1)

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.

J. Opt. Soc. Am. (1)

J. Quantum Electron., Special Issue Integrated Optics (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).

Other (3)

R. K. Luneburg, Mathematical Theory of Optics (University of California, Berkeley, 1966), p. 187.

M. Born and E. Wolf, Principles of Optics (Pergamon, London, 1970), p. 137.

J. W. Goodman, Introduction to Fourier Optics (McGraw- Hill, New York, 1968), p. 61.

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