Abstract

A new method is proposed to solve the phase problem of the optical coherence theory. The method consists of generating a phase-conjugate wave using a suitable nonlinear process and superimposing it with the original wavefield. We discuss how the method could be applied to obtain the intensity distribution across an incoherent light source.

© 1978 Optical Society of America

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References

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  1. M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford1970), Chap. 10.
  2. L. Mandel and E. Wolf, “Coherence properties of optical fields,” Rev. Mod. Phys. 37, 231–287 (1965).
    [Crossref]
  3. C. L. Mehta, “New approach to the phase problem in optical coherence theory,” J. Opt. Soc. Am. 58, 1233–1234 (1968), and other references cited therein.
    [Crossref]
  4. D. Kohler and L. Mandel, “Source reconstruction from the modulus of the correlation function; a practical approach to the phase problem of optical coherence theory,” J. Opt. Soc. Am. 63, 127–134 (1973), and other references cited therein.
  5. B. Y. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, and F. S. Faisullov, “Connection between the wavefronts of the reflected and exciting light in stimulated Mandel’stam-Brillouin scattering,” Pisma Zh. Eksp. Teor. Fiz. 15, 160–164 (1972) [JETP Lett. 15, 109–113 (1972)].
  6. A. Yariv, “On transmission and recovery of three-dimensional image information in optical waveguides,” J. Opt. Soc. Am. 66, 301–306 (1976).
    [Crossref]
  7. R. W. Hellwarth, “Generation of time-reversed wave fronts by nonlinear refraction,” J. Opt. Soc. Am. 67, 1–3 (1977).
    [Crossref]
  8. D. M. Bloom and G. C. Bjorklund, “Conjugate wavefront generation and image reconstruction by four-wave mixing,” App. Phys. Lett. 31, 592 (1977).
    [Crossref]
  9. D. M. Bloom, P. F. Liao, and N. P. Economou, “cw optical wavefront conjugation by saturated absorption in atomic sodium vapor” (to be presented at the Xth International Quantum Electronics Conference, 1978).

1977 (2)

R. W. Hellwarth, “Generation of time-reversed wave fronts by nonlinear refraction,” J. Opt. Soc. Am. 67, 1–3 (1977).
[Crossref]

D. M. Bloom and G. C. Bjorklund, “Conjugate wavefront generation and image reconstruction by four-wave mixing,” App. Phys. Lett. 31, 592 (1977).
[Crossref]

1976 (1)

1973 (1)

D. Kohler and L. Mandel, “Source reconstruction from the modulus of the correlation function; a practical approach to the phase problem of optical coherence theory,” J. Opt. Soc. Am. 63, 127–134 (1973), and other references cited therein.

1972 (1)

B. Y. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, and F. S. Faisullov, “Connection between the wavefronts of the reflected and exciting light in stimulated Mandel’stam-Brillouin scattering,” Pisma Zh. Eksp. Teor. Fiz. 15, 160–164 (1972) [JETP Lett. 15, 109–113 (1972)].

1968 (1)

1965 (1)

L. Mandel and E. Wolf, “Coherence properties of optical fields,” Rev. Mod. Phys. 37, 231–287 (1965).
[Crossref]

Bjorklund, G. C.

D. M. Bloom and G. C. Bjorklund, “Conjugate wavefront generation and image reconstruction by four-wave mixing,” App. Phys. Lett. 31, 592 (1977).
[Crossref]

Bloom, D. M.

D. M. Bloom and G. C. Bjorklund, “Conjugate wavefront generation and image reconstruction by four-wave mixing,” App. Phys. Lett. 31, 592 (1977).
[Crossref]

D. M. Bloom, P. F. Liao, and N. P. Economou, “cw optical wavefront conjugation by saturated absorption in atomic sodium vapor” (to be presented at the Xth International Quantum Electronics Conference, 1978).

Born, M.

M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford1970), Chap. 10.

Economou, N. P.

D. M. Bloom, P. F. Liao, and N. P. Economou, “cw optical wavefront conjugation by saturated absorption in atomic sodium vapor” (to be presented at the Xth International Quantum Electronics Conference, 1978).

Faisullov, F. S.

B. Y. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, and F. S. Faisullov, “Connection between the wavefronts of the reflected and exciting light in stimulated Mandel’stam-Brillouin scattering,” Pisma Zh. Eksp. Teor. Fiz. 15, 160–164 (1972) [JETP Lett. 15, 109–113 (1972)].

Hellwarth, R. W.

Kohler, D.

D. Kohler and L. Mandel, “Source reconstruction from the modulus of the correlation function; a practical approach to the phase problem of optical coherence theory,” J. Opt. Soc. Am. 63, 127–134 (1973), and other references cited therein.

Liao, P. F.

D. M. Bloom, P. F. Liao, and N. P. Economou, “cw optical wavefront conjugation by saturated absorption in atomic sodium vapor” (to be presented at the Xth International Quantum Electronics Conference, 1978).

Mandel, L.

D. Kohler and L. Mandel, “Source reconstruction from the modulus of the correlation function; a practical approach to the phase problem of optical coherence theory,” J. Opt. Soc. Am. 63, 127–134 (1973), and other references cited therein.

L. Mandel and E. Wolf, “Coherence properties of optical fields,” Rev. Mod. Phys. 37, 231–287 (1965).
[Crossref]

Mehta, C. L.

Popovichev, V. I.

B. Y. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, and F. S. Faisullov, “Connection between the wavefronts of the reflected and exciting light in stimulated Mandel’stam-Brillouin scattering,” Pisma Zh. Eksp. Teor. Fiz. 15, 160–164 (1972) [JETP Lett. 15, 109–113 (1972)].

Ragul’skii, V. V.

B. Y. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, and F. S. Faisullov, “Connection between the wavefronts of the reflected and exciting light in stimulated Mandel’stam-Brillouin scattering,” Pisma Zh. Eksp. Teor. Fiz. 15, 160–164 (1972) [JETP Lett. 15, 109–113 (1972)].

Wolf, E.

L. Mandel and E. Wolf, “Coherence properties of optical fields,” Rev. Mod. Phys. 37, 231–287 (1965).
[Crossref]

M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford1970), Chap. 10.

Yariv, A.

Zel’dovich, B. Y.

B. Y. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, and F. S. Faisullov, “Connection between the wavefronts of the reflected and exciting light in stimulated Mandel’stam-Brillouin scattering,” Pisma Zh. Eksp. Teor. Fiz. 15, 160–164 (1972) [JETP Lett. 15, 109–113 (1972)].

App. Phys. Lett. (1)

D. M. Bloom and G. C. Bjorklund, “Conjugate wavefront generation and image reconstruction by four-wave mixing,” App. Phys. Lett. 31, 592 (1977).
[Crossref]

J. Opt. Soc. Am. (4)

Pisma Zh. Eksp. Teor. Fiz. (1)

B. Y. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, and F. S. Faisullov, “Connection between the wavefronts of the reflected and exciting light in stimulated Mandel’stam-Brillouin scattering,” Pisma Zh. Eksp. Teor. Fiz. 15, 160–164 (1972) [JETP Lett. 15, 109–113 (1972)].

Rev. Mod. Phys. (1)

L. Mandel and E. Wolf, “Coherence properties of optical fields,” Rev. Mod. Phys. 37, 231–287 (1965).
[Crossref]

Other (2)

M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford1970), Chap. 10.

D. M. Bloom, P. F. Liao, and N. P. Economou, “cw optical wavefront conjugation by saturated absorption in atomic sodium vapor” (to be presented at the Xth International Quantum Electronics Conference, 1978).

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Equations (6)

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Γ ( r 1 , r 2 , τ ) Γ ( r 1 , r 2 , τ ) exp [ i ϕ ( r 1 , r 2 , τ ) = V * ( r 1 , t ) V ( r 2 , t + τ ) ,
V s ( r , t ) = V ( r , t ) + α V * ( r , t )
Γ s ( r 1 , r 2 , τ ) = Γ ( r 1 , r 2 , τ ) + α 2 Γ * ( r 1 , r 2 , τ ) ,
ϕ ( r 1 , r 2 , τ ) = ± 1 2 cos - 1 { ( 1 / 2 α 2 ) ( R 2 - 1 - α 4 ) } ,
Γ ( r 1 , r 2 , 0 ) = C I ( S ) exp { ( i k / d ) ( r 1 - r 2 ) · S } d S ,
α = β L ( I p I p ) 1 / 2 ,