Abstract

A general formulation is given, including the nonlinearity of a film’s t-E curve, on the intensity distribution of the reconstructed spectrum in holographic Fourier-transform spectroscopy, and a discussion on resolution follows. It is shown that Rayleigh’s criterion never applies except for a doublet under a special situation. The amplitude cancellation mechanism, which is responsible for a recently reported very good resolution, is not of much advantage when the spectrum is not a simple doublet. A third-order approximation is used to study the nonlinear effect, and a doublet case is analyzed in detail for positions and intensities of the higher-order lines.

© 1976 Optical Society of America

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  1. G. W. Stroke and A. T. Funkhouser, Phys. Lett. 16, 272 (1965).
  2. G. W. Stroke, Physica (Utr.) 33, 253 (1967).
  3. K. Yoshihara and A. Kitade, Jpn. J. Appl. Phys. 6, 116 (1967).
  4. K. Kamiya, K. Yoshihara, and K. Okada, Jpn. J. Appl. Phys. 7, 1129 (1968).
  5. W. T. Plummer, Jpn. J. Appl. Phys. 6, 1250 (1967).
  6. H. Abbott, F. T. Johnson, R. Licata, and P. Oliver, Am. J. Phys. 39, 412 (1971).
  7. P. F. Parshin and A. A. Chumachenko, Usp. Fiz. Nauk. 103, 553 (1971) [Sov. Phys.-Usp. 14, 219 (1971)].
  8. L. K. Su, S. T. Hsue, and S. Y. Feng, Phys. Lett. A 53, 177 (1975).
  9. G. W. Stroke, An Introduction to Coherent Optics and Holography (Academic, New York 1969), 2nd ed., p. 157.
  10. H. M. Lai and S. Y. Feng, Phys. Lett. A 54, 88 (1975).
  11. A simpler case of Fraunhofer diffraction pattern due to one sinusoidal grating can be found in J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), pp. 65–68.
  12. J. W. Goodman, in Ref. 11, p. 130–131.
  13. A. Kozma, Introduction to Optical Data Processing (McGraw-Hill, New York, 1967), Vol. 1, Chap. 9.
  14. J. W. Goodman and G. R. Knight, J. Opt. Soc. Am. 58, 1276 (1968).
  15. O. Bzyngdahl and A. Lohmann, J. Opt. Soc. Am. 58, 1325 (1968).
  16. R. J. Collier, B. Burckhardt and L. H. Lin, Optical Holography (Academic, New York, 1971), p. 338, Eq. (12. 1).
  17. R. J. Collier, in Ref. 16, p. 341–343.
  18. A. Kozma, J. Opt. Soc. Am. 56, 428 (1966).

Abbott, H.

H. Abbott, F. T. Johnson, R. Licata, and P. Oliver, Am. J. Phys. 39, 412 (1971).

Burckhardt, B.

R. J. Collier, B. Burckhardt and L. H. Lin, Optical Holography (Academic, New York, 1971), p. 338, Eq. (12. 1).

Bzyngdahl, O.

O. Bzyngdahl and A. Lohmann, J. Opt. Soc. Am. 58, 1325 (1968).

Chumachenko, A. A.

P. F. Parshin and A. A. Chumachenko, Usp. Fiz. Nauk. 103, 553 (1971) [Sov. Phys.-Usp. 14, 219 (1971)].

Collier, R. J.

R. J. Collier, in Ref. 16, p. 341–343.

R. J. Collier, B. Burckhardt and L. H. Lin, Optical Holography (Academic, New York, 1971), p. 338, Eq. (12. 1).

Feng, S. Y.

H. M. Lai and S. Y. Feng, Phys. Lett. A 54, 88 (1975).

L. K. Su, S. T. Hsue, and S. Y. Feng, Phys. Lett. A 53, 177 (1975).

Funkhouser, A. T.

G. W. Stroke and A. T. Funkhouser, Phys. Lett. 16, 272 (1965).

Goodman, J. W.

J. W. Goodman and G. R. Knight, J. Opt. Soc. Am. 58, 1276 (1968).

J. W. Goodman, in Ref. 11, p. 130–131.

A simpler case of Fraunhofer diffraction pattern due to one sinusoidal grating can be found in J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), pp. 65–68.

Hsue, S. T.

L. K. Su, S. T. Hsue, and S. Y. Feng, Phys. Lett. A 53, 177 (1975).

Johnson, F. T.

H. Abbott, F. T. Johnson, R. Licata, and P. Oliver, Am. J. Phys. 39, 412 (1971).

Kamiya, K.

K. Kamiya, K. Yoshihara, and K. Okada, Jpn. J. Appl. Phys. 7, 1129 (1968).

Kitade, A.

K. Yoshihara and A. Kitade, Jpn. J. Appl. Phys. 6, 116 (1967).

Knight, G. R.

J. W. Goodman and G. R. Knight, J. Opt. Soc. Am. 58, 1276 (1968).

Kozma, A.

A. Kozma, J. Opt. Soc. Am. 56, 428 (1966).

A. Kozma, Introduction to Optical Data Processing (McGraw-Hill, New York, 1967), Vol. 1, Chap. 9.

Lai, H. M.

H. M. Lai and S. Y. Feng, Phys. Lett. A 54, 88 (1975).

Licata, R.

H. Abbott, F. T. Johnson, R. Licata, and P. Oliver, Am. J. Phys. 39, 412 (1971).

Lin, L. H.

R. J. Collier, B. Burckhardt and L. H. Lin, Optical Holography (Academic, New York, 1971), p. 338, Eq. (12. 1).

Lohmann, A.

O. Bzyngdahl and A. Lohmann, J. Opt. Soc. Am. 58, 1325 (1968).

Okada, K.

K. Kamiya, K. Yoshihara, and K. Okada, Jpn. J. Appl. Phys. 7, 1129 (1968).

Oliver, P.

H. Abbott, F. T. Johnson, R. Licata, and P. Oliver, Am. J. Phys. 39, 412 (1971).

Parshin, P. F.

P. F. Parshin and A. A. Chumachenko, Usp. Fiz. Nauk. 103, 553 (1971) [Sov. Phys.-Usp. 14, 219 (1971)].

Plummer, W. T.

W. T. Plummer, Jpn. J. Appl. Phys. 6, 1250 (1967).

Stroke, G. W.

G. W. Stroke, Physica (Utr.) 33, 253 (1967).

G. W. Stroke, An Introduction to Coherent Optics and Holography (Academic, New York 1969), 2nd ed., p. 157.

G. W. Stroke and A. T. Funkhouser, Phys. Lett. 16, 272 (1965).

Su, L. K.

L. K. Su, S. T. Hsue, and S. Y. Feng, Phys. Lett. A 53, 177 (1975).

Yoshihara, K.

K. Yoshihara and A. Kitade, Jpn. J. Appl. Phys. 6, 116 (1967).

K. Kamiya, K. Yoshihara, and K. Okada, Jpn. J. Appl. Phys. 7, 1129 (1968).

Other (18)

G. W. Stroke and A. T. Funkhouser, Phys. Lett. 16, 272 (1965).

G. W. Stroke, Physica (Utr.) 33, 253 (1967).

K. Yoshihara and A. Kitade, Jpn. J. Appl. Phys. 6, 116 (1967).

K. Kamiya, K. Yoshihara, and K. Okada, Jpn. J. Appl. Phys. 7, 1129 (1968).

W. T. Plummer, Jpn. J. Appl. Phys. 6, 1250 (1967).

H. Abbott, F. T. Johnson, R. Licata, and P. Oliver, Am. J. Phys. 39, 412 (1971).

P. F. Parshin and A. A. Chumachenko, Usp. Fiz. Nauk. 103, 553 (1971) [Sov. Phys.-Usp. 14, 219 (1971)].

L. K. Su, S. T. Hsue, and S. Y. Feng, Phys. Lett. A 53, 177 (1975).

G. W. Stroke, An Introduction to Coherent Optics and Holography (Academic, New York 1969), 2nd ed., p. 157.

H. M. Lai and S. Y. Feng, Phys. Lett. A 54, 88 (1975).

A simpler case of Fraunhofer diffraction pattern due to one sinusoidal grating can be found in J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), pp. 65–68.

J. W. Goodman, in Ref. 11, p. 130–131.

A. Kozma, Introduction to Optical Data Processing (McGraw-Hill, New York, 1967), Vol. 1, Chap. 9.

J. W. Goodman and G. R. Knight, J. Opt. Soc. Am. 58, 1276 (1968).

O. Bzyngdahl and A. Lohmann, J. Opt. Soc. Am. 58, 1325 (1968).

R. J. Collier, B. Burckhardt and L. H. Lin, Optical Holography (Academic, New York, 1971), p. 338, Eq. (12. 1).

R. J. Collier, in Ref. 16, p. 341–343.

A. Kozma, J. Opt. Soc. Am. 56, 428 (1966).

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