Abstract

A multimode planar optical waveguide of homogeneous refractive index can produce real onedimensional self-images by interference of the waveguide modes. We discuss the image formation, the linespread function, and its apodisation and optimization. Under optimum conditions, the theoretical linear resolution can reach 0.25(<i>W</i>λ<sub>ƒ</sub>)<sup>½</sup>, where <i>W</i> is the slab thickness and λ<sub>ƒ</sub> is the wavelength in the slab material.

© 1978 Optical Society of America

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  1. O. Bryngdahl, J. Opt. Soc. Am. 63, 416 (1973).
  2. R. Ulrich, Opt. Commun. 13, 259 (1975). This reference contains some typographical errors: In the last paranthesis of Eq. (12), the first term should read 7/9π2, and the last term should have a positive sign. These errors were kindly pointed out to us by E. Voges. Furthermore, in Eqs. (6) and (7) the term (M0 - 2) should read (M0-2/π), and the reflection coefficient mentioned after Eq. (9) should be exp(-2iøm). The response function discussed is a line spread function rather than a point spread function.
  3. R. Ulrich and G. Ankele, Appl. Phys. Lett. 27, 338 (1975).
  4. E. Voges and R. Ulrich, Proceedings of the VIth European Microwave Conference (Microwave Exhibition and Publishers, Sevenoaks, 1976), p. 447.
  5. A. Simon and R. Ulrich, Appl. Phys. Lett. 31, 77 (1977).
  6. M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1965), Chap: 9.5.
  7. P. Jaquinot and B. Roizen-Dossier, Progress in Optics, Vol. 3 (North-Holland, Amsterdam, 1964), p. 29.
  8. R. Ulrich and W. Prettl, Appl. Phys. 1, 55 (1973).
  9. A. Reisinger, Appl. Opt. 12, 1015 (1973).

Ankele, G.

R. Ulrich and G. Ankele, Appl. Phys. Lett. 27, 338 (1975).

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1965), Chap: 9.5.

Bryngdahl, O.

O. Bryngdahl, J. Opt. Soc. Am. 63, 416 (1973).

Jaquinot, P.

P. Jaquinot and B. Roizen-Dossier, Progress in Optics, Vol. 3 (North-Holland, Amsterdam, 1964), p. 29.

Prettl, W.

R. Ulrich and W. Prettl, Appl. Phys. 1, 55 (1973).

Reisinger, A.

A. Reisinger, Appl. Opt. 12, 1015 (1973).

Roizen-Dossier, B.

P. Jaquinot and B. Roizen-Dossier, Progress in Optics, Vol. 3 (North-Holland, Amsterdam, 1964), p. 29.

Simon, A.

A. Simon and R. Ulrich, Appl. Phys. Lett. 31, 77 (1977).

Ulrich, R.

A. Simon and R. Ulrich, Appl. Phys. Lett. 31, 77 (1977).

R. Ulrich, Opt. Commun. 13, 259 (1975). This reference contains some typographical errors: In the last paranthesis of Eq. (12), the first term should read 7/9π2, and the last term should have a positive sign. These errors were kindly pointed out to us by E. Voges. Furthermore, in Eqs. (6) and (7) the term (M0 - 2) should read (M0-2/π), and the reflection coefficient mentioned after Eq. (9) should be exp(-2iøm). The response function discussed is a line spread function rather than a point spread function.

R. Ulrich and G. Ankele, Appl. Phys. Lett. 27, 338 (1975).

R. Ulrich and W. Prettl, Appl. Phys. 1, 55 (1973).

E. Voges and R. Ulrich, Proceedings of the VIth European Microwave Conference (Microwave Exhibition and Publishers, Sevenoaks, 1976), p. 447.

Voges, E.

E. Voges and R. Ulrich, Proceedings of the VIth European Microwave Conference (Microwave Exhibition and Publishers, Sevenoaks, 1976), p. 447.

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1965), Chap: 9.5.

Other (9)

O. Bryngdahl, J. Opt. Soc. Am. 63, 416 (1973).

R. Ulrich, Opt. Commun. 13, 259 (1975). This reference contains some typographical errors: In the last paranthesis of Eq. (12), the first term should read 7/9π2, and the last term should have a positive sign. These errors were kindly pointed out to us by E. Voges. Furthermore, in Eqs. (6) and (7) the term (M0 - 2) should read (M0-2/π), and the reflection coefficient mentioned after Eq. (9) should be exp(-2iøm). The response function discussed is a line spread function rather than a point spread function.

R. Ulrich and G. Ankele, Appl. Phys. Lett. 27, 338 (1975).

E. Voges and R. Ulrich, Proceedings of the VIth European Microwave Conference (Microwave Exhibition and Publishers, Sevenoaks, 1976), p. 447.

A. Simon and R. Ulrich, Appl. Phys. Lett. 31, 77 (1977).

M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1965), Chap: 9.5.

P. Jaquinot and B. Roizen-Dossier, Progress in Optics, Vol. 3 (North-Holland, Amsterdam, 1964), p. 29.

R. Ulrich and W. Prettl, Appl. Phys. 1, 55 (1973).

A. Reisinger, Appl. Opt. 12, 1015 (1973).

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