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Optical-phase conjugation in difference-frequency generation A. Andreoni, M. Bondani, F. Paleari

Optical-phase conjugation in difference-frequency generation A. Andreoni, M. Bondani, F. Paleari Dept. Sciences, Univ. Insubria and Istituto Nazionale di Fisica della Materia, I.N.F.M. Como, Italy V. N. Mikhailov Photophysics of Holographic Processes Department,

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Optical-phase conjugation in difference-frequency generation A. Andreoni, M. Bondani, F. Paleari

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  1. Optical-phase conjugation in difference-frequency generation A. Andreoni, M. Bondani, F. Paleari Dept. Sciences, Univ. Insubria andIstituto Nazionale di Fisica della Materia, I.N.F.M. Como, Italy V. N. Mikhailov Photophysics of Holographic Processes Department, S.I.Vavilov State Optical Institute St. Petersburg, Russia

  2. x E3 pump field (Nd SH) at 2w NL crystal entrance face E1 seed field (Nd fund) at w optical axis E2 E1 E2 difference-freq. generated (DFG) field at w a 0 z k2 E3 k1 k3 y Space-dependent phase reversal Aim: E2 optical phase conjugate (OPC) of E1, being E1strongly phase/amplitude modulated Outline: Theory of DFG in conditions of phase-mismatch, for seed and generated fields non-collinearly propagating (non-depleted plane-wave pump). Experiments showing that the pump-field wave-fronts behave as efficient phase-conjugating mirrors.

  3. Interacting fields: AMP seed DFG Equations that describe the interaction: x E2 E1 O.A. a 0 z k2 Error in phase-matching Coupling coefficient (type I) E3 k1 k3 y

  4. Property of the equations: conservation law Boundary conditions Solutions

  5. Properties of the solutions: Field amplitudes Direction of propagation of constant-phase surfaces Poynting vectors (energy propagation) Photon flux density of the DFG field E2 Increase in photon flux density of the seed field E1 due to AMP

  6. Direction ofDk Continuity with the solution in PM Bondani et al.,Phys. Rev. A 66 (2002) C Conservation of photon flux densities k2-surface k1-surface Dk k2 k1 k1-k2 bisector k3

  7. In a regime of linear amplification and. If then: On planes parallel to the E3 wavefronts, E2 OPC of E1. Take and a plane mirror at exit face reflecting E2 back to . Theoretical conclusion (relevant to OPC experiment) y z Mirror Diffusing plate

  8. Experimental setup Nd:YLF passive Q-switch ring oscillator; Nd:glass double-pass amplifier (Brillouin scattering phase-conjugating mirror) Frequency doubling KTP. Diffusing Plate Seed/AMP l1 = 1053 nm Pump l3 = 526.5 nm DFG l2 = 1053 nm F2 PD2 Pump monitor Nd:YLF source Nd L6 M3 PH2 M1 F3 L5 BS1 (wedged) BBO DM L3 PH1 L2 F1 CCD camera PD1 Seed monitor Long coherence length (>3m) Pulse duration  20 ns Energy per pulse  1 J at =526.5 nm L1 L4 M2

  9. BBO I • Cut for collinear SHG of Nd:YAG • Fujian Castech Crystals Inc., China efficiency: 10% per mm VERYFIED Linear regime of Ampl./DFG. OPC of the co-propagating fields and beyond the crystal E1E2

  10. BBO II Diffusing Plate CCD sensor Distance D BBO II The diffusing glass plate introduces a seed beam divergence of 0.5 deg and produces the intensity distribution E1 Speckle pattern of measured at 6 cm from diffusing plate E2 Measurements of back-reflected by mirror and at same distance D (D = 51 cm, 291 cm) E1

  11. 51 cm 291 cm Seed beam after removal of diffusing plate and in the absence of pump. Reflected DFG beam after back- propagation through diffusing plate.

  12. Maria Bondani Viktor N. Mikhailov Fabio Paleari THANKS TO CO-AUTHORS AND TO AUDIENCE Paper in press: J. Opt. Soc. Am. B (Aug. 2003)

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