Pulse shaping by difference-frequency mixing with quasi-phase-matching gratings

Imeshev, G.; Fejer, M. M.; Galvanauskas, Almantas; Harter, D.

doi:10.1364/josab.18.000534

Cited by 52 publications

(56 citation statements)

References 15 publications

(30 reference statements)

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“…Under the above assumptions, the generated idler is given by a transfer function that is related to the spatial Fourier transform (FT) of the QPM grating [31]. In this subsection, we derive this transfer function and express it in a form suitable for subsequent statistical analysis.…”

Section: A Transfer Functionmentioning

confidence: 99%

“…(3) as a sum of the contributions from the relevant QPM orders, whose individual Fourier spectra may have simple closed-form solutions. For example, these individual Fourier spectra correspond to sinc functions for periodic gratings, and to error functions for linearly chirped gratings [31,34]. Writing g z z from Eq.…”

Section: B Ensemble-averaged Noise Pedestal and Efficiency Reductionmentioning

confidence: 99%

“…We will always assume here that both the pump and signal propagate linearly, i.e.,Ã j z; ω Ã j 0; ω for j s and j p; therefore, the z-arguments of A s and A p will be suppressed. With these envelope definitions, the evolution of each (positive) spectral component of the idler is given by [31] …”

Section: Transfer Function Applied To Pulsed Interactionsmentioning

confidence: 99%

“…This condition implies that v s ≈ v p , where the frequency-dependent group velocity is given by v −1 g dk∕dω, and v j v g ω j . If in addition neither the signal nor the pump pulses disperse significantly [i.e., if group velocity dispersion (GVD) is negligible over the spectral bandwidth of the pulses], the general frequency-dependent phase mismatch can be approximated as [31] Δkω;…”

Section: Transfer Function Applied To Pulsed Interactionsmentioning

confidence: 99%

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Parametric processes in quasi-phasematching gratings with random duty cycle errors

Phillips¹,

Pelc²,

Fejer³

2013

J. Opt. Soc. Am. B

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Random duty cycle (RDC) errors in quasi-phase-matching (QPM) gratings lead to a pedestal in the spatialfrequency spectrum that increases the conversion efficiency for nominally phase-mismatched processes. Here, we determine the statistical properties of the Fourier spectrum of the QPM grating in the presence of RDC errors. We illustrate these properties with examples corresponding to periodic gratings with parameters typical for continuous-wave interactions, and chirped gratings with parameters typical for devices involving broad optical bandwidths. We show how several applications are sensitive to RDC errors by calculating the conversion efficiency of relevant nonlinear-optical processes. Last, we propose a method to efficiently incorporate RDC errors into coupled-wave models of nonlinear-optical interactions while still retaining only a small number of QPM grating orders.

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Section: A Transfer Functionmentioning

confidence: 99%

Section: B Ensemble-averaged Noise Pedestal and Efficiency Reductionmentioning

confidence: 99%

Section: Transfer Function Applied To Pulsed Interactionsmentioning

confidence: 99%

Section: Transfer Function Applied To Pulsed Interactionsmentioning

confidence: 99%

See 2 more Smart Citations

Parametric processes in quasi-phasematching gratings with random duty cycle errors

Phillips¹,

Pelc²,

Fejer³

2013

J. Opt. Soc. Am. B

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“…Our system operates with a strong, undepleted ω 2 pump wave, whereas previously an undepleted-pump condition was often applied to ω 1 . This latter condition was shown to be useful; e.g., as a means of pulse shaping of the idler in DFG [10] and as a way to allow arbitrarily broad gain bandwidth in an OPA with undepleted pump [11]. We apply the former condition, making conversion between ω 1 and ω 3 analogous to population transfer in RAP possible and allowing 100% conversion efficiency in DFG or SFG.…”

mentioning

confidence: 99%

Fully efficient adiabatic frequency conversion of broadband Ti:sapphire oscillator pulses

2012

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By adiabatic difference-frequency generation in an aperiodically poled nonlinear crystal-a nonlinear optical analog of rapid adiabatic passage in a two-level atomic system-we demonstrate the conversion of a 110 nm band from an octave-spanning Ti:sapphire oscillator to the infrared, spanning 1550 to 2450 nm, with near-100% internal conversion efficiency. The experiment proves the principle of complete Landau-Zener adiabatic transfer in nonlinear optical wave mixing. Our implementation is a practical approach to the seeding of high-energy ultrabroadband optical parametric chirped pulse amplifiers. © 2012 Optical Society of America OCIS codes: 320.7110, 190.4975, 020.2649. Today's demand for octave-spanning bandwidth sources of coherent optical pulses-at wavelengths other than the Ti:sapphire (Ti:S) oscillator's 800 nm centered band -is widened by the need for seed pulses for ultrabroadband optical parametric amplifiers (OPAs). Such systems today include wavelength multiplexing schemes that coherently synthesize few-cycle OPA pulses of several colors to generate high-energy subcycle waveforms [1], and these require a multiple-octave-spanning seed spectrum. Ti:S oscillator pulses, extended to other spectral ranges by sum-or difference-frequency generation (SFG, DFG), are often used. For example, in [1-4], 2 μm optical parametric chirped pulse amplifier (OPCPA) systems amplify a broadband Ti:S pulse converted to the mid-IR via intrapulse DFG. This method has poor efficiency, which is a result of the tight focusing and transform-limited duration needed to reach an intensity high enough for nonlinear interaction, resulting in a short interaction length. The seed energy in these systems is only a few pJ, less than 1% of the Ti:S power. This has practical consequences since the low seed energy in these high-gain amplifiers is the root of severe superfluorescence noise contamination, effectively limiting the overall amplifier gain [5].In this letter, we report near-100% conversion of a broadband Ti:S oscillator band to the mid-IR using the adiabatic DFG technique [6], thus proving the principle of complete Landau-Zener (LZ) adiabatic transfer in nonlinear optical wave mixing. The complete conversion succeeds for the full temporal and spatial extents of the Ti:S beam. Moreover, it covers a 0.7 octave idler band and is potentially scalable to multiple octaves from a single nonlinear crystal. Here we discuss an implementation ideally suited for the seeding of OPCPAs, but the method could be useful generally for providing nJ energy broadband infrared pulses with up to an MHz repetition rate.Adiabatic frequency conversion applies the principle of rapid adiabatic passage (RAP) for full transfer of population between states of a 2-level atom to optical frequency conversion, a concept explored in several previous works [6][7][8][9]. Notably, in the mixing of frequencies, ω 3 ω 1 − ω 2 , where ω 1 > ω 2 , ω 3 , through a quadratic electric susceptibility, the equations of motion are isomorphic to the driven optical Bloch equat...

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Adiabatic processes in frequency conversion

Suchowski

Porat

Arie

2013

Laser & Photonics Reviews

143

103

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Adiabatic evolution, an important dynamical process in a variety of classical and quantum systems providing a robust way of steering a system into a desired state , was introduced only recently to frequency conversion . Adiabatic frequency conversion allowed the achievement of efficient scalable broadband frequency conversion and was applied successfully to the conversion of ultrashort pulses, demonstrating near‐100% efficiency for ultrabroadband spectrum . The underlying analogy between undepleted pump nonlinear processes and coherently excited quantum systems was extended in the past few years to multi‐level quantum systems, demonstrating new concepts in frequency conversion, such as complete frequency conversion through an absorption band . Additionally, the undepleted pump restriction was removed, enabling the exploration of adiabatic processes in the fully nonlinear dynamics regime of nonlinear optics . In this article, the basic concept of adiabatic frequency conversion is introduced, and recent advances in ultrashort physics, multi‐process systems, and the fully nonlinear dynamics regime are reviewed.

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Pulse shaping by difference-frequency mixing with quasi-phase-matching gratings

Cited by 52 publications

References 15 publications

Parametric processes in quasi-phasematching gratings with random duty cycle errors

Parametric processes in quasi-phasematching gratings with random duty cycle errors

Fully efficient adiabatic frequency conversion of broadband Ti:sapphire oscillator pulses

Adiabatic processes in frequency conversion

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