Difference-frequency-generated holograms of two-dimensional objects

We demonstrate both analytically and experimentally that second-order nonlinear interaction in a uniaxial crystal produces a holographic replica of one of the incident fields. In particular, we consider difference-frequency generation and directly calculate the field transformation that is produced by the nonlinear interaction for some simple but nontrivial two-dimensional objects, such as a long wire, a circular hole, and a regular net. Finally we show experimental results for such objects that validate the theoretical calculations.

[1]  J. E. Midwinter,et al.  IMAGE CONVERSION FROM 1.6 μ TO THE VISIBLE IN LITHIUM NIOBATE , 1968 .

[2]  J. Midwinter,et al.  Parametric infrared image converters , 1968 .

[3]  Maria Bondani,et al.  Optical-phase conjugation in difference-frequency generation , 2003, 2003 European Quantum Electronics Conference. EQEC 2003 (IEEE Cat No.03TH8665).

[4]  L Lefort,et al.  Revisiting optical phase conjugation by difference-frequency generation. , 1996, Optics letters.

[5]  Holography by nondegenerate χ (2) interactions , 2003 .

[6]  A. Firester.  Holography and Parametric Image Conversion: Part II , 1969 .

[7]  A. Gaeta,et al.  Compensation of pulse distortions by phase conjugation via difference-frequency generation , 2000 .

[8]  Maria Bondani,et al.  Holographic properties of the second-harmonic cross correlation of object and reference optical wave fields , 2000 .

[9]  Maria Bondani,et al.  Holographic nature of three-wave mixing , 2002 .

[10]  W. D. Bomberger,et al.  Optical phase conjugation in a lithium formate crystal , 1977 .

[11]  A Andreoni,et al.  Combinational tasks performed by second-harmonic-generated holograms. , 2000, Optics letters.

[12]  D. Gabor.  Microscopy by reconstructed wave-fronts , 1949, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[13]  Maria Bondani,et al.  Real-time holograms generated by second-harmonic cross correlation of object and reference optical wave fields , 2000 .

[14]  P. Kryukov.  V G Dmitriev, G G Gurzadyan, D N Nikogosyan ' Handbook of Nonlinear Optical Crystals 2nd revised and updated edition' (Berlin: Springer, 1997) , 1997 .

[15]  A. Firester.  Parametric Image Conversion: Part I , 1969 .

[16]  A. Gavrielides,et al.  Diffractive imaging in three‐wave interactions , 1987 .

[17]  Maria Bondani,et al.  Boolean algebra operations performed on optical bits by the generation of holographic fields through second-order nonlinear interactions , 2001 .

[18]  J. Goodman.  Introduction to Fourier optics , 1969 .

[19]  D. Pepper.  2 – Optical Phase Conjugation Using Three-Wave and Four-Wave Mixing via Elastic Photon Scattering in Transparent Media , 1983 .

[20]  Formation of the holographic image of a diffuse object in second-harmonic radiation generated by a nonlinear medium , 2000 .

[21]  Recording of a hologram by using the second-order nonlinearity , 2000 .

[22]  Eric Lantz,et al.  Transfer function of spatial frequencies in parametric image amplification : experimental analysis and application to picosecond spatial filtering , 1995 .

[23]  J. Midwinter,et al.  Image conversion from 1.6 µm to the visible in lithium niobate , 1968 .

[24]  G W Faris,et al.  Upconverting time gate for imaging through highly scattering media. , 1994, Optics letters.

[25]  Arthur H. Firester,et al.  Image Upconversion: Part III , 1970 .

[26]  G. Gurzadyan,et al.  Handbook of nonlinear optical crystals , 1991 .

[27]  F. Devaux,et al.  Ultrahigh-speed imaging by parametric image amplification , 1995 .