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Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
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Sawtooth grating-assisted phase-matching.

Pavel Sidorenko1, Maxim Kozlov, Alon Bahabad

  • 1Solid State Institute and Physics Department, Technion–Israel Institute of Technology, Haifa 32000, Israel. sidor@tx.technion.ac.il

Optics Express
|December 18, 2010
PubMed
Summary
This summary is machine-generated.

A sawtooth phase-modulation is the optimal profile for grating assisted phase matching (GAPM). This method significantly boosts conversion efficiency in high harmonic generation, closely matching ideal phase-matching performance.

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Area of Science:

  • Nonlinear Optics
  • Quantum Optics
  • Laser Physics

Background:

  • Quasi-phase-matching (QPM) techniques are crucial for enhancing nonlinear optical processes.
  • Grating assisted phase matching (GAPM) offers a method to achieve phase matching in materials lacking natural phase-matching properties.
  • Previous studies explored sinusoidal and square modulation profiles for GAPM, with limited efficiency.

Purpose of the Study:

  • To identify the optimal modulation profile for grating assisted phase matching (GAPM).
  • To investigate the efficiency of sawtooth modulation profiles in GAPM.
  • To demonstrate the application of sawtooth GAPM for high harmonic generation (HHG).

Main Methods:

  • Theoretical analysis of phase-matching conditions for different modulation profiles.
  • Numerical simulations of optically-induced sawtooth GAPM.
  • Comparison of conversion efficiencies for sawtooth, sinusoidal, and square GAPM profiles.

Main Results:

  • Sawtooth phase-modulation is theoretically the optimal profile for GAPM.
  • Perfect sawtooth modulation achieves phase-matching comparable to conventional methods.
  • Smoothened sawtooth profiles outperform previously studied sinusoidal and square GAPM modulations.
  • Numerical demonstration of optically-induced sawtooth GAPM for high harmonic generation.

Conclusions:

  • Sawtooth GAPM is the most efficient method for increasing conversion efficiency in high harmonic generation via quasi-phase-matching.
  • The ultimate efficiency of sawtooth GAPM closely approaches the ideal phase-matching case.
  • This work establishes sawtooth modulation as a superior approach for optimizing GAPM-based nonlinear processes.