Abstract

This work presents theoretical and experimental studies of the processes of light field transformations upon frequency-nondegenerate four-wave mixing (NFWM) in a nonlinear Fabry-Perot interferometer (FPI). The principal aims are the development of a theory for intracavity four-wave mixing in complex molecular media in conditions of scattering from dynamic gratings and resonator feedback; determination of a mechanism of light field transformations in dynamic holograms, and also by nonlinear interferometers; working out and introduction of novel nonlinear-optical methods to control the characteristics of light beams. High diffraction efficiency (up to 13.5%) with simultaneous infrared-to-visible frequency conversion of coherent images has been experimentally obtained by intracavity NFWM.

© 2006 Optical Society of America

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  1. V. M. Petrov , S. Lichtenberg , A. V. Chamrai , J. Petter , and T. Tschudi , “ Controllable Fabry-Perot interferometer based on dynamic volume holograms ,” Thin Solid Films   450 , 178 – 182 ( 2004 ).
    [Crossref]
  2. O. Ormachea , O. G. Romanov , A. L. Tolstik , J. L. Arce-Diego , D. Pereda-Cubian , and F. Fanjul-Velez , “ Four-wave mixing in nonlinear interferometer Fabry-Perot with saturable absorbers ,” in Nonlinear Optics Applications , M. A. Karpierz , A. D. Boardman , and G. I. Stegeman , eds., Proc. SPIE 5949 , 261 – 269 ( 2005 ).
  3. L. Menez , I. Zaquine , I. Maruani , and R. Frey , “ Intracavity Bragg gratings ,” J. Opt. Soc. Am. B   16 , 1849 – 1855 ( 1999 ).
    [Crossref]
  4. R. Buhleier , V. Bardinal , J. H. Collet , C. Fontaine , M. Hübner , and J. Kuhl , “ Four-wave mixing in bulk GaAs microcavities at room temperature ,” Appl. Phys. Lett.   69 , 2240 – 2242 ( 1996 ).
    [Crossref]
  5. K. M. Kwolek , M. R. Melloch , D. D. Nolte , and G. A. Brost , “ Photorefractive asymmetric Fabry-Perot quantum wells: Transverse-field geometry ,” Appl. Phys. Lett.   67 , 736 – 738 ( 1995 ).
    [Crossref]
  6. T. K. Tenev , G. D. Zartov , R. A. Peyeva , H. Thienpont , I. Veretennichoff , and K. P. Panajotov , “ Electrical and polarization controlled bistability and oscillations in photorefractive birefringent Fabry-Perot resonators ,” Opt. Commun.   231 , 117 – 129 ( 2004 ).
    [Crossref]
  7. L Menez , I. Zaquine , A. Maruani , and R. Frey , “ Experimental investigation of intracavity Bragg gratings ,” Opt. Lett.   27 , 476 – 481 ( 2002 ).
    [Crossref]
  8. S. M. Karpuk , A. S. Rubanov , and A. L. Tolstik , “ Double phase conjugation in quadratic recording of dynamic holograms in resonance media ,” Opt. Spectrosc.   80 , 276 – 280 ( 1996 ).
  9. A. S. Rubanov , A. L Tolstik , S. M. Karpuk , and O. Ormachea , “ Nonlinear formation of dynamic holograms and multiwave mixing in resonant media ,” Opt. Commun.   181 , 183 – 190 ( 2000 ).
    [Crossref]
  10. M. Born and E. Wolf , Principles of Optics. Electromagnetic Theory of Propagation, Interference and Diffraction of Light ( Cambridge University Press, Cambridge, UK , 1999 ).
  11. G. Martin and R. W. Hellwarth , “ Infrared to optical image conversion by Bragg reflection from thermally induced gratings ,” Appl. Phys. Lett.   34 , 371 – 373 ( 1979 ).
    [Crossref]
  12. L. H. Acioli , A. S. L Gomes , J. R. Rios Leite , and C. B. de Araujo , “ Infrared to visible image frequency conversion in Cd(S,Se) glass composites ,” Appl. Phys. Lett.   54 , 1956 – 1958 ( 1989 ).
    [Crossref]
  13. M. Ducloy , “ Optical phase conjugation with frequency up-conversion via high-order, nondegenerate multiwave mixing ,” Appl. Phys. Lett.   46 , 1020 – 1022 ( 1985 ).
    [Crossref]
  14. G. Manneberg , M. Gustafsson , and P. Unsbo , “ Image transfer using six wave mixing with large wavelength conversion ,” J. Opt. Soc. Am. B ,   10 , 454 – 458 ( 1993 ).
    [Crossref]

2004 (2)

V. M. Petrov , S. Lichtenberg , A. V. Chamrai , J. Petter , and T. Tschudi , “ Controllable Fabry-Perot interferometer based on dynamic volume holograms ,” Thin Solid Films   450 , 178 – 182 ( 2004 ).
[Crossref]

T. K. Tenev , G. D. Zartov , R. A. Peyeva , H. Thienpont , I. Veretennichoff , and K. P. Panajotov , “ Electrical and polarization controlled bistability and oscillations in photorefractive birefringent Fabry-Perot resonators ,” Opt. Commun.   231 , 117 – 129 ( 2004 ).
[Crossref]

2002 (1)

2000 (1)

A. S. Rubanov , A. L Tolstik , S. M. Karpuk , and O. Ormachea , “ Nonlinear formation of dynamic holograms and multiwave mixing in resonant media ,” Opt. Commun.   181 , 183 – 190 ( 2000 ).
[Crossref]

1999 (1)

1996 (2)

R. Buhleier , V. Bardinal , J. H. Collet , C. Fontaine , M. Hübner , and J. Kuhl , “ Four-wave mixing in bulk GaAs microcavities at room temperature ,” Appl. Phys. Lett.   69 , 2240 – 2242 ( 1996 ).
[Crossref]

S. M. Karpuk , A. S. Rubanov , and A. L. Tolstik , “ Double phase conjugation in quadratic recording of dynamic holograms in resonance media ,” Opt. Spectrosc.   80 , 276 – 280 ( 1996 ).

1995 (1)

K. M. Kwolek , M. R. Melloch , D. D. Nolte , and G. A. Brost , “ Photorefractive asymmetric Fabry-Perot quantum wells: Transverse-field geometry ,” Appl. Phys. Lett.   67 , 736 – 738 ( 1995 ).
[Crossref]

1993 (1)

1989 (1)

L. H. Acioli , A. S. L Gomes , J. R. Rios Leite , and C. B. de Araujo , “ Infrared to visible image frequency conversion in Cd(S,Se) glass composites ,” Appl. Phys. Lett.   54 , 1956 – 1958 ( 1989 ).
[Crossref]

1985 (1)

M. Ducloy , “ Optical phase conjugation with frequency up-conversion via high-order, nondegenerate multiwave mixing ,” Appl. Phys. Lett.   46 , 1020 – 1022 ( 1985 ).
[Crossref]

1979 (1)

G. Martin and R. W. Hellwarth , “ Infrared to optical image conversion by Bragg reflection from thermally induced gratings ,” Appl. Phys. Lett.   34 , 371 – 373 ( 1979 ).
[Crossref]

Acioli, L. H.

L. H. Acioli , A. S. L Gomes , J. R. Rios Leite , and C. B. de Araujo , “ Infrared to visible image frequency conversion in Cd(S,Se) glass composites ,” Appl. Phys. Lett.   54 , 1956 – 1958 ( 1989 ).
[Crossref]

Arce-Diego, J. L.

O. Ormachea , O. G. Romanov , A. L. Tolstik , J. L. Arce-Diego , D. Pereda-Cubian , and F. Fanjul-Velez , “ Four-wave mixing in nonlinear interferometer Fabry-Perot with saturable absorbers ,” in Nonlinear Optics Applications , M. A. Karpierz , A. D. Boardman , and G. I. Stegeman , eds., Proc. SPIE 5949 , 261 – 269 ( 2005 ).

Bardinal, V.

R. Buhleier , V. Bardinal , J. H. Collet , C. Fontaine , M. Hübner , and J. Kuhl , “ Four-wave mixing in bulk GaAs microcavities at room temperature ,” Appl. Phys. Lett.   69 , 2240 – 2242 ( 1996 ).
[Crossref]

Boardman, A. D.

O. Ormachea , O. G. Romanov , A. L. Tolstik , J. L. Arce-Diego , D. Pereda-Cubian , and F. Fanjul-Velez , “ Four-wave mixing in nonlinear interferometer Fabry-Perot with saturable absorbers ,” in Nonlinear Optics Applications , M. A. Karpierz , A. D. Boardman , and G. I. Stegeman , eds., Proc. SPIE 5949 , 261 – 269 ( 2005 ).

Born, M.

M. Born and E. Wolf , Principles of Optics. Electromagnetic Theory of Propagation, Interference and Diffraction of Light ( Cambridge University Press, Cambridge, UK , 1999 ).

Brost, G. A.

K. M. Kwolek , M. R. Melloch , D. D. Nolte , and G. A. Brost , “ Photorefractive asymmetric Fabry-Perot quantum wells: Transverse-field geometry ,” Appl. Phys. Lett.   67 , 736 – 738 ( 1995 ).
[Crossref]

Buhleier, R.

R. Buhleier , V. Bardinal , J. H. Collet , C. Fontaine , M. Hübner , and J. Kuhl , “ Four-wave mixing in bulk GaAs microcavities at room temperature ,” Appl. Phys. Lett.   69 , 2240 – 2242 ( 1996 ).
[Crossref]

Chamrai, A. V.

V. M. Petrov , S. Lichtenberg , A. V. Chamrai , J. Petter , and T. Tschudi , “ Controllable Fabry-Perot interferometer based on dynamic volume holograms ,” Thin Solid Films   450 , 178 – 182 ( 2004 ).
[Crossref]

Collet, J. H.

R. Buhleier , V. Bardinal , J. H. Collet , C. Fontaine , M. Hübner , and J. Kuhl , “ Four-wave mixing in bulk GaAs microcavities at room temperature ,” Appl. Phys. Lett.   69 , 2240 – 2242 ( 1996 ).
[Crossref]

de Araujo, C. B.

L. H. Acioli , A. S. L Gomes , J. R. Rios Leite , and C. B. de Araujo , “ Infrared to visible image frequency conversion in Cd(S,Se) glass composites ,” Appl. Phys. Lett.   54 , 1956 – 1958 ( 1989 ).
[Crossref]

Ducloy, M.

M. Ducloy , “ Optical phase conjugation with frequency up-conversion via high-order, nondegenerate multiwave mixing ,” Appl. Phys. Lett.   46 , 1020 – 1022 ( 1985 ).
[Crossref]

Fanjul-Velez, F.

O. Ormachea , O. G. Romanov , A. L. Tolstik , J. L. Arce-Diego , D. Pereda-Cubian , and F. Fanjul-Velez , “ Four-wave mixing in nonlinear interferometer Fabry-Perot with saturable absorbers ,” in Nonlinear Optics Applications , M. A. Karpierz , A. D. Boardman , and G. I. Stegeman , eds., Proc. SPIE 5949 , 261 – 269 ( 2005 ).

Fontaine, C.

R. Buhleier , V. Bardinal , J. H. Collet , C. Fontaine , M. Hübner , and J. Kuhl , “ Four-wave mixing in bulk GaAs microcavities at room temperature ,” Appl. Phys. Lett.   69 , 2240 – 2242 ( 1996 ).
[Crossref]

Frey, R.

Gomes, A. S. L

L. H. Acioli , A. S. L Gomes , J. R. Rios Leite , and C. B. de Araujo , “ Infrared to visible image frequency conversion in Cd(S,Se) glass composites ,” Appl. Phys. Lett.   54 , 1956 – 1958 ( 1989 ).
[Crossref]

Gustafsson, M.

Hellwarth, R. W.

G. Martin and R. W. Hellwarth , “ Infrared to optical image conversion by Bragg reflection from thermally induced gratings ,” Appl. Phys. Lett.   34 , 371 – 373 ( 1979 ).
[Crossref]

Hübner, M.

R. Buhleier , V. Bardinal , J. H. Collet , C. Fontaine , M. Hübner , and J. Kuhl , “ Four-wave mixing in bulk GaAs microcavities at room temperature ,” Appl. Phys. Lett.   69 , 2240 – 2242 ( 1996 ).
[Crossref]

Karpierz, M. A.

O. Ormachea , O. G. Romanov , A. L. Tolstik , J. L. Arce-Diego , D. Pereda-Cubian , and F. Fanjul-Velez , “ Four-wave mixing in nonlinear interferometer Fabry-Perot with saturable absorbers ,” in Nonlinear Optics Applications , M. A. Karpierz , A. D. Boardman , and G. I. Stegeman , eds., Proc. SPIE 5949 , 261 – 269 ( 2005 ).

Karpuk, S. M.

A. S. Rubanov , A. L Tolstik , S. M. Karpuk , and O. Ormachea , “ Nonlinear formation of dynamic holograms and multiwave mixing in resonant media ,” Opt. Commun.   181 , 183 – 190 ( 2000 ).
[Crossref]

S. M. Karpuk , A. S. Rubanov , and A. L. Tolstik , “ Double phase conjugation in quadratic recording of dynamic holograms in resonance media ,” Opt. Spectrosc.   80 , 276 – 280 ( 1996 ).

Kuhl, J.

R. Buhleier , V. Bardinal , J. H. Collet , C. Fontaine , M. Hübner , and J. Kuhl , “ Four-wave mixing in bulk GaAs microcavities at room temperature ,” Appl. Phys. Lett.   69 , 2240 – 2242 ( 1996 ).
[Crossref]

Kwolek, K. M.

K. M. Kwolek , M. R. Melloch , D. D. Nolte , and G. A. Brost , “ Photorefractive asymmetric Fabry-Perot quantum wells: Transverse-field geometry ,” Appl. Phys. Lett.   67 , 736 – 738 ( 1995 ).
[Crossref]

Lichtenberg, S.

V. M. Petrov , S. Lichtenberg , A. V. Chamrai , J. Petter , and T. Tschudi , “ Controllable Fabry-Perot interferometer based on dynamic volume holograms ,” Thin Solid Films   450 , 178 – 182 ( 2004 ).
[Crossref]

Manneberg, G.

Martin, G.

G. Martin and R. W. Hellwarth , “ Infrared to optical image conversion by Bragg reflection from thermally induced gratings ,” Appl. Phys. Lett.   34 , 371 – 373 ( 1979 ).
[Crossref]

Maruani, A.

Maruani, I.

Melloch, M. R.

K. M. Kwolek , M. R. Melloch , D. D. Nolte , and G. A. Brost , “ Photorefractive asymmetric Fabry-Perot quantum wells: Transverse-field geometry ,” Appl. Phys. Lett.   67 , 736 – 738 ( 1995 ).
[Crossref]

Menez, L

Menez, L.

Nolte, D. D.

K. M. Kwolek , M. R. Melloch , D. D. Nolte , and G. A. Brost , “ Photorefractive asymmetric Fabry-Perot quantum wells: Transverse-field geometry ,” Appl. Phys. Lett.   67 , 736 – 738 ( 1995 ).
[Crossref]

Ormachea, O.

A. S. Rubanov , A. L Tolstik , S. M. Karpuk , and O. Ormachea , “ Nonlinear formation of dynamic holograms and multiwave mixing in resonant media ,” Opt. Commun.   181 , 183 – 190 ( 2000 ).
[Crossref]

O. Ormachea , O. G. Romanov , A. L. Tolstik , J. L. Arce-Diego , D. Pereda-Cubian , and F. Fanjul-Velez , “ Four-wave mixing in nonlinear interferometer Fabry-Perot with saturable absorbers ,” in Nonlinear Optics Applications , M. A. Karpierz , A. D. Boardman , and G. I. Stegeman , eds., Proc. SPIE 5949 , 261 – 269 ( 2005 ).

Panajotov, K. P.

T. K. Tenev , G. D. Zartov , R. A. Peyeva , H. Thienpont , I. Veretennichoff , and K. P. Panajotov , “ Electrical and polarization controlled bistability and oscillations in photorefractive birefringent Fabry-Perot resonators ,” Opt. Commun.   231 , 117 – 129 ( 2004 ).
[Crossref]

Pereda-Cubian, D.

O. Ormachea , O. G. Romanov , A. L. Tolstik , J. L. Arce-Diego , D. Pereda-Cubian , and F. Fanjul-Velez , “ Four-wave mixing in nonlinear interferometer Fabry-Perot with saturable absorbers ,” in Nonlinear Optics Applications , M. A. Karpierz , A. D. Boardman , and G. I. Stegeman , eds., Proc. SPIE 5949 , 261 – 269 ( 2005 ).

Petrov, V. M.

V. M. Petrov , S. Lichtenberg , A. V. Chamrai , J. Petter , and T. Tschudi , “ Controllable Fabry-Perot interferometer based on dynamic volume holograms ,” Thin Solid Films   450 , 178 – 182 ( 2004 ).
[Crossref]

Petter, J.

V. M. Petrov , S. Lichtenberg , A. V. Chamrai , J. Petter , and T. Tschudi , “ Controllable Fabry-Perot interferometer based on dynamic volume holograms ,” Thin Solid Films   450 , 178 – 182 ( 2004 ).
[Crossref]

Peyeva, R. A.

T. K. Tenev , G. D. Zartov , R. A. Peyeva , H. Thienpont , I. Veretennichoff , and K. P. Panajotov , “ Electrical and polarization controlled bistability and oscillations in photorefractive birefringent Fabry-Perot resonators ,” Opt. Commun.   231 , 117 – 129 ( 2004 ).
[Crossref]

Rios Leite, J. R.

L. H. Acioli , A. S. L Gomes , J. R. Rios Leite , and C. B. de Araujo , “ Infrared to visible image frequency conversion in Cd(S,Se) glass composites ,” Appl. Phys. Lett.   54 , 1956 – 1958 ( 1989 ).
[Crossref]

Romanov, O. G.

O. Ormachea , O. G. Romanov , A. L. Tolstik , J. L. Arce-Diego , D. Pereda-Cubian , and F. Fanjul-Velez , “ Four-wave mixing in nonlinear interferometer Fabry-Perot with saturable absorbers ,” in Nonlinear Optics Applications , M. A. Karpierz , A. D. Boardman , and G. I. Stegeman , eds., Proc. SPIE 5949 , 261 – 269 ( 2005 ).

Rubanov, A. S.

A. S. Rubanov , A. L Tolstik , S. M. Karpuk , and O. Ormachea , “ Nonlinear formation of dynamic holograms and multiwave mixing in resonant media ,” Opt. Commun.   181 , 183 – 190 ( 2000 ).
[Crossref]

S. M. Karpuk , A. S. Rubanov , and A. L. Tolstik , “ Double phase conjugation in quadratic recording of dynamic holograms in resonance media ,” Opt. Spectrosc.   80 , 276 – 280 ( 1996 ).

Stegeman, G. I.

O. Ormachea , O. G. Romanov , A. L. Tolstik , J. L. Arce-Diego , D. Pereda-Cubian , and F. Fanjul-Velez , “ Four-wave mixing in nonlinear interferometer Fabry-Perot with saturable absorbers ,” in Nonlinear Optics Applications , M. A. Karpierz , A. D. Boardman , and G. I. Stegeman , eds., Proc. SPIE 5949 , 261 – 269 ( 2005 ).

Tenev, T. K.

T. K. Tenev , G. D. Zartov , R. A. Peyeva , H. Thienpont , I. Veretennichoff , and K. P. Panajotov , “ Electrical and polarization controlled bistability and oscillations in photorefractive birefringent Fabry-Perot resonators ,” Opt. Commun.   231 , 117 – 129 ( 2004 ).
[Crossref]

Thienpont, H.

T. K. Tenev , G. D. Zartov , R. A. Peyeva , H. Thienpont , I. Veretennichoff , and K. P. Panajotov , “ Electrical and polarization controlled bistability and oscillations in photorefractive birefringent Fabry-Perot resonators ,” Opt. Commun.   231 , 117 – 129 ( 2004 ).
[Crossref]

Tolstik, A. L

A. S. Rubanov , A. L Tolstik , S. M. Karpuk , and O. Ormachea , “ Nonlinear formation of dynamic holograms and multiwave mixing in resonant media ,” Opt. Commun.   181 , 183 – 190 ( 2000 ).
[Crossref]

Tolstik, A. L.

S. M. Karpuk , A. S. Rubanov , and A. L. Tolstik , “ Double phase conjugation in quadratic recording of dynamic holograms in resonance media ,” Opt. Spectrosc.   80 , 276 – 280 ( 1996 ).

O. Ormachea , O. G. Romanov , A. L. Tolstik , J. L. Arce-Diego , D. Pereda-Cubian , and F. Fanjul-Velez , “ Four-wave mixing in nonlinear interferometer Fabry-Perot with saturable absorbers ,” in Nonlinear Optics Applications , M. A. Karpierz , A. D. Boardman , and G. I. Stegeman , eds., Proc. SPIE 5949 , 261 – 269 ( 2005 ).

Tschudi, T.

V. M. Petrov , S. Lichtenberg , A. V. Chamrai , J. Petter , and T. Tschudi , “ Controllable Fabry-Perot interferometer based on dynamic volume holograms ,” Thin Solid Films   450 , 178 – 182 ( 2004 ).
[Crossref]

Unsbo, P.

Veretennichoff, I.

T. K. Tenev , G. D. Zartov , R. A. Peyeva , H. Thienpont , I. Veretennichoff , and K. P. Panajotov , “ Electrical and polarization controlled bistability and oscillations in photorefractive birefringent Fabry-Perot resonators ,” Opt. Commun.   231 , 117 – 129 ( 2004 ).
[Crossref]

Wolf, E.

M. Born and E. Wolf , Principles of Optics. Electromagnetic Theory of Propagation, Interference and Diffraction of Light ( Cambridge University Press, Cambridge, UK , 1999 ).

Zaquine, I.

Zartov, G. D.

T. K. Tenev , G. D. Zartov , R. A. Peyeva , H. Thienpont , I. Veretennichoff , and K. P. Panajotov , “ Electrical and polarization controlled bistability and oscillations in photorefractive birefringent Fabry-Perot resonators ,” Opt. Commun.   231 , 117 – 129 ( 2004 ).
[Crossref]

Appl. Phys. Lett. (5)

R. Buhleier , V. Bardinal , J. H. Collet , C. Fontaine , M. Hübner , and J. Kuhl , “ Four-wave mixing in bulk GaAs microcavities at room temperature ,” Appl. Phys. Lett.   69 , 2240 – 2242 ( 1996 ).
[Crossref]

K. M. Kwolek , M. R. Melloch , D. D. Nolte , and G. A. Brost , “ Photorefractive asymmetric Fabry-Perot quantum wells: Transverse-field geometry ,” Appl. Phys. Lett.   67 , 736 – 738 ( 1995 ).
[Crossref]

G. Martin and R. W. Hellwarth , “ Infrared to optical image conversion by Bragg reflection from thermally induced gratings ,” Appl. Phys. Lett.   34 , 371 – 373 ( 1979 ).
[Crossref]

L. H. Acioli , A. S. L Gomes , J. R. Rios Leite , and C. B. de Araujo , “ Infrared to visible image frequency conversion in Cd(S,Se) glass composites ,” Appl. Phys. Lett.   54 , 1956 – 1958 ( 1989 ).
[Crossref]

M. Ducloy , “ Optical phase conjugation with frequency up-conversion via high-order, nondegenerate multiwave mixing ,” Appl. Phys. Lett.   46 , 1020 – 1022 ( 1985 ).
[Crossref]

J. Opt. Soc. Am. B (2)

Opt. Commun. (2)

T. K. Tenev , G. D. Zartov , R. A. Peyeva , H. Thienpont , I. Veretennichoff , and K. P. Panajotov , “ Electrical and polarization controlled bistability and oscillations in photorefractive birefringent Fabry-Perot resonators ,” Opt. Commun.   231 , 117 – 129 ( 2004 ).
[Crossref]

A. S. Rubanov , A. L Tolstik , S. M. Karpuk , and O. Ormachea , “ Nonlinear formation of dynamic holograms and multiwave mixing in resonant media ,” Opt. Commun.   181 , 183 – 190 ( 2000 ).
[Crossref]

Opt. Lett. (1)

Opt. Spectrosc. (1)

S. M. Karpuk , A. S. Rubanov , and A. L. Tolstik , “ Double phase conjugation in quadratic recording of dynamic holograms in resonance media ,” Opt. Spectrosc.   80 , 276 – 280 ( 1996 ).

Thin Solid Films (1)

V. M. Petrov , S. Lichtenberg , A. V. Chamrai , J. Petter , and T. Tschudi , “ Controllable Fabry-Perot interferometer based on dynamic volume holograms ,” Thin Solid Films   450 , 178 – 182 ( 2004 ).
[Crossref]

Other (2)

O. Ormachea , O. G. Romanov , A. L. Tolstik , J. L. Arce-Diego , D. Pereda-Cubian , and F. Fanjul-Velez , “ Four-wave mixing in nonlinear interferometer Fabry-Perot with saturable absorbers ,” in Nonlinear Optics Applications , M. A. Karpierz , A. D. Boardman , and G. I. Stegeman , eds., Proc. SPIE 5949 , 261 – 269 ( 2005 ).

M. Born and E. Wolf , Principles of Optics. Electromagnetic Theory of Propagation, Interference and Diffraction of Light ( Cambridge University Press, Cambridge, UK , 1999 ).

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Figures (4)

Fig. 1.
Fig. 1.

Schemes to realize the conversion of light beams using dynamic holograms with (a) linear and (b) quadratic recording.

Fig. 2.
Fig. 2.

The diffraction efficiency ξ versus the intensities of hologram – recording wave (I 1 = IS = I), for linear (a) and quadratic recording (b), R = 0(1), 0.5(2), 0.7(3), 0.9(4).

Fig. 3.
Fig. 3.

Experimental setup (a).The diffraction efficiency ξ versus the intensities of waves involved in hologram recording (I 1 = IS = I) (b) for a thin layer of the dye solution (1), and for FPI (2). Circles represent experimental data, lines – theoretical calculation.

Fig. 4.
Fig. 4.

Infrared-to-visible frequency conversion by intracavity NFWM, object (a), first (b), and second (c) orders of diffraction.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

χ ( ω ) = n 0 κ 0 2 π ( θ ̂ 12 B 12 α ̂ I b T I 2 1 + JI ) ,
χ ( 2 ω ) = n 0 κ 0 2 π ( a T I + b T I 2 1 + JI ) ,
E 1 , s z = i 2 πω c n 0 [ χ 0 ( ω ) E 1 , s + χ ± 1 ( ω ) E s , 1 ]
E 2 , d z = i 4 πω c n 0 [ χ 0 ( 2 ω ) E 2 , d + χ 1 ( 2 ) ( 2 ω ) E d , 2 ]
I 2 T = I 20 ( 1 R 1 ) ( 1 R 2 ) V ( 1 R 1 R 2 V ) 2 + 4 R 1 R 2 V sin 2 ( Φ 2 ) ,

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