Abstract

Chirped quasi-phase-matching (QPM) gratings offer efficient, ultra-broadband optical parametric chirped pulse amplification (OPCPA) in the mid-infrared as well as other spectral regions. Only recently, however, has this potential begun to be realized [1]. In this paper, we study the design of chirped QPM-based OPCPA in detail, revealing several important constraints which must be accounted for in order to obtain broad-band, high-quality amplification. We determine these constraints in terms of the underlying saturated nonlinear processes, and explain how they were met when designing our mid-IR OPCPA system. The issues considered include gain and saturation based on the basic three-wave mixing equations; suppression of unwanted non-collinear gain-guided modes; minimizing and characterizing nonlinear losses associated with random duty cycle errors in the QPM grating; avoiding coincidentally-phase-matched nonlinear processes; and controlling the temporal/spectral characteristics of the saturated nonlinear interaction in order to maintain the chirped-pulse structure required for OPCPA. The issues considered place constraints both on the QPM devices as well as the OPCPA system. The resulting experimental guidelines are detailed. Our results represent the first comprehensive discussion of chirped QPM devices operated in strongly nonlinear regimes, and provide a roadmap for advancing and experimentally implementing OPCPA systems based on these devices.

Highlights

  • Quasi-phase-matching (QPM) has been an enabling technology for many frequency conversion schemes and their applications

  • We examine in detail several nonlinear processes which occur in high-gain and strongly-saturated QPM interactions, and thereby determine the design constraints which must be met by optical parametric chirped pulse amplification (OPCPA) systems based on chirped QPM devices to avoid such effects while still supporting broad bandwidths and good conversion efficiency

  • Note that while our focus in this paper is on the case of chirped QPM gratings, random duty cycle (RDC) errors are relevant for OPCPA employing both chirped and unchirped gratings, and explain the intense green light typically generated in 1-μm-pumped QPM-based OPCPA systems; our results are applicable to both chirped and unchirped gratings

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Summary

Introduction

Quasi-phase-matching (QPM) has been an enabling technology for many frequency conversion schemes and their applications. These processes reveal the possibility of achieving essentially arbitrary-bandwidth, high-efficiency optical parametric chirped pulse amplification (OPCPA) within the transparency window of QPM media, while simultaneously suppressing gain-narrowing effects [12] Such an approach is an important tool for OPA and OPCPA development [1,18,26,27,28,29,30,31,32,33], as well as for the emergent field of attosecond science [34,35,36,37,38,39,40], offering high-intensity few-cycle pulse generation at high repetition rates and in new wavelength regions from comparatively simple and collinear experimental geometries, utilizing power-scalable 1-μm pump lasers [41, 42]. In appendix B, we provide for convenience a summary of the definitions used in the paper

Experimental system
OPCPA in chirped QPM gratings
Coupled-envelope equations
Quasi-cw mixing in the undepleted-pump regime
Quasi-cw mixing with saturation effects
Transverse beam effects: suppression of gain guided modes
Non-collinear phase-matching conditions
Non-collinear gain-guiding cut-offs
Implications for OPCPA
Role of QPM duty cycle errors
Essential features of QPM gratings with RDC errors
Implications for QPM-based OPCPA
Spectral effects: coincidentally phase-matched processes
Numerical Example
Temporal dynamics: saturation and group velocity mismatch
Influence of saturation and input pulse chirp
Summary of OPCPA design constraints
Conclusions
Findings
Definitions and important quantities
Full Text
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