Abstract

A new method of designing geodesic lenses is described. The lens shape is expressed with a uniform function. The curvature of the lens shape is restricted within an upper limit to prevent the light leaking from the waveguide. The value of the curvature limit can be specified at the start of design calculation. A comparison with a former design method is also given. The numerical aperture of the lens is found to be improved up to 24%.

© 1990 Optical Society of America

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  1. A. Arimoto, K. Muraoka, K. Senda, T. Shimano, S. Ishikawa, “Waveguide Optical Deflector for Optical Disc Tracking Actuator Using Surface Acoustic Wave Device,” in Proceedings, Conference on Integrated and Guided Wave Optics (OSA, Houston, 1989), paper MBB5.
  2. J. H. Harris, R. Shubert, J. N. Polky, “Beam Coupling to Films,” J. Opt. Soc. Am. 60, 1007–1016 (1970).
    [CrossRef]
  3. R. Shubert, J. H. Harris, “Optical Surface Waves on Thin Films and Their Application to Integrated Data Processors,” IEEE Trans. Microwave Theory Tech. MTT-16, 1048–1054 (1968).
    [CrossRef]
  4. S. Sottini, E. Giorgetti, “Theoretical Analysis of a New Family of Geodesic Lenses,” J. Opt. Soc. Am. A 4, 346–351 (1987).
    [CrossRef]
  5. J. C. Bradley, E. C. Malarkey, D. Mergerian, H. A. Trenchard, “Theory of Geodesic Lenses,” Proc. Soc. Photo-Opt. Instrum./Eng. 176, 75–84 (1979).
  6. J. H. Ahlberg, E. N. Nilson, J. L. Walsh, The Theory of Splines and Their Applications (Academic, New York, 1967).
  7. H. Nishihara, M. Haruna, T. Suhara, Optical Integrated Circuits (McGraw-Hill, New York, 1989), pp. 270–271.

1987 (1)

1979 (1)

J. C. Bradley, E. C. Malarkey, D. Mergerian, H. A. Trenchard, “Theory of Geodesic Lenses,” Proc. Soc. Photo-Opt. Instrum./Eng. 176, 75–84 (1979).

1970 (1)

1968 (1)

R. Shubert, J. H. Harris, “Optical Surface Waves on Thin Films and Their Application to Integrated Data Processors,” IEEE Trans. Microwave Theory Tech. MTT-16, 1048–1054 (1968).
[CrossRef]

Ahlberg, J. H.

J. H. Ahlberg, E. N. Nilson, J. L. Walsh, The Theory of Splines and Their Applications (Academic, New York, 1967).

Arimoto, A.

A. Arimoto, K. Muraoka, K. Senda, T. Shimano, S. Ishikawa, “Waveguide Optical Deflector for Optical Disc Tracking Actuator Using Surface Acoustic Wave Device,” in Proceedings, Conference on Integrated and Guided Wave Optics (OSA, Houston, 1989), paper MBB5.

Bradley, J. C.

J. C. Bradley, E. C. Malarkey, D. Mergerian, H. A. Trenchard, “Theory of Geodesic Lenses,” Proc. Soc. Photo-Opt. Instrum./Eng. 176, 75–84 (1979).

Giorgetti, E.

Harris, J. H.

J. H. Harris, R. Shubert, J. N. Polky, “Beam Coupling to Films,” J. Opt. Soc. Am. 60, 1007–1016 (1970).
[CrossRef]

R. Shubert, J. H. Harris, “Optical Surface Waves on Thin Films and Their Application to Integrated Data Processors,” IEEE Trans. Microwave Theory Tech. MTT-16, 1048–1054 (1968).
[CrossRef]

Haruna, M.

H. Nishihara, M. Haruna, T. Suhara, Optical Integrated Circuits (McGraw-Hill, New York, 1989), pp. 270–271.

Ishikawa, S.

A. Arimoto, K. Muraoka, K. Senda, T. Shimano, S. Ishikawa, “Waveguide Optical Deflector for Optical Disc Tracking Actuator Using Surface Acoustic Wave Device,” in Proceedings, Conference on Integrated and Guided Wave Optics (OSA, Houston, 1989), paper MBB5.

Malarkey, E. C.

J. C. Bradley, E. C. Malarkey, D. Mergerian, H. A. Trenchard, “Theory of Geodesic Lenses,” Proc. Soc. Photo-Opt. Instrum./Eng. 176, 75–84 (1979).

Mergerian, D.

J. C. Bradley, E. C. Malarkey, D. Mergerian, H. A. Trenchard, “Theory of Geodesic Lenses,” Proc. Soc. Photo-Opt. Instrum./Eng. 176, 75–84 (1979).

Muraoka, K.

A. Arimoto, K. Muraoka, K. Senda, T. Shimano, S. Ishikawa, “Waveguide Optical Deflector for Optical Disc Tracking Actuator Using Surface Acoustic Wave Device,” in Proceedings, Conference on Integrated and Guided Wave Optics (OSA, Houston, 1989), paper MBB5.

Nilson, E. N.

J. H. Ahlberg, E. N. Nilson, J. L. Walsh, The Theory of Splines and Their Applications (Academic, New York, 1967).

Nishihara, H.

H. Nishihara, M. Haruna, T. Suhara, Optical Integrated Circuits (McGraw-Hill, New York, 1989), pp. 270–271.

Polky, J. N.

Senda, K.

A. Arimoto, K. Muraoka, K. Senda, T. Shimano, S. Ishikawa, “Waveguide Optical Deflector for Optical Disc Tracking Actuator Using Surface Acoustic Wave Device,” in Proceedings, Conference on Integrated and Guided Wave Optics (OSA, Houston, 1989), paper MBB5.

Shimano, T.

A. Arimoto, K. Muraoka, K. Senda, T. Shimano, S. Ishikawa, “Waveguide Optical Deflector for Optical Disc Tracking Actuator Using Surface Acoustic Wave Device,” in Proceedings, Conference on Integrated and Guided Wave Optics (OSA, Houston, 1989), paper MBB5.

Shubert, R.

J. H. Harris, R. Shubert, J. N. Polky, “Beam Coupling to Films,” J. Opt. Soc. Am. 60, 1007–1016 (1970).
[CrossRef]

R. Shubert, J. H. Harris, “Optical Surface Waves on Thin Films and Their Application to Integrated Data Processors,” IEEE Trans. Microwave Theory Tech. MTT-16, 1048–1054 (1968).
[CrossRef]

Sottini, S.

Suhara, T.

H. Nishihara, M. Haruna, T. Suhara, Optical Integrated Circuits (McGraw-Hill, New York, 1989), pp. 270–271.

Trenchard, H. A.

J. C. Bradley, E. C. Malarkey, D. Mergerian, H. A. Trenchard, “Theory of Geodesic Lenses,” Proc. Soc. Photo-Opt. Instrum./Eng. 176, 75–84 (1979).

Walsh, J. L.

J. H. Ahlberg, E. N. Nilson, J. L. Walsh, The Theory of Splines and Their Applications (Academic, New York, 1967).

IEEE Trans. Microwave Theory Tech. (1)

R. Shubert, J. H. Harris, “Optical Surface Waves on Thin Films and Their Application to Integrated Data Processors,” IEEE Trans. Microwave Theory Tech. MTT-16, 1048–1054 (1968).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (1)

Proc. Soc. Photo-Opt. Instrum./Eng. (1)

J. C. Bradley, E. C. Malarkey, D. Mergerian, H. A. Trenchard, “Theory of Geodesic Lenses,” Proc. Soc. Photo-Opt. Instrum./Eng. 176, 75–84 (1979).

Other (3)

J. H. Ahlberg, E. N. Nilson, J. L. Walsh, The Theory of Splines and Their Applications (Academic, New York, 1967).

H. Nishihara, M. Haruna, T. Suhara, Optical Integrated Circuits (McGraw-Hill, New York, 1989), pp. 270–271.

A. Arimoto, K. Muraoka, K. Senda, T. Shimano, S. Ishikawa, “Waveguide Optical Deflector for Optical Disc Tracking Actuator Using Surface Acoustic Wave Device,” in Proceedings, Conference on Integrated and Guided Wave Optics (OSA, Houston, 1989), paper MBB5.

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