Theory and design of two-dimensional spectral shearing interferometry for few-cycle pulse measurement

Birge, Jonathan R.; Crespo, Helder; Kärtner, Franz X.

doi:10.1364/josab.27.001165

Cited by 41 publications

(36 citation statements)

References 20 publications

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“…The subtraction of

ω τ

is the key to successful reconstruction of the spectral group delay. An error in determining the delay,

δ τ

, will result in a relative error in the measured pulse width,

δ T / T \approx (Δ ω^{2} / 2 Ω) δ τ

. The relative error scales quadratically with the bandwidth

Δ ω

in an optical system.…”

Section: Ultrabroadband Pulse Characterization Techniquesmentioning

confidence: 99%

“…Due to the strong chirp, the scanning of the delay over a few optical cycles can be approximated as a pure phase modulation (ϕ gd ). Detailed design considerations are summarized in . The spectrum of the frequency‐shifted signal is recorded as a function of this delay, yielding a two‐dimensional intensity plot that is given by

\begin{matrix} true \\ right I (ω, ϕ_{gd}) & = & left | A (ω - δ) + A (ω - δ - Ω) {normale}^{j ϕ_{gd}} |^{2} \\ = & left DC + 2 | A (ω - δ) A (ω - δ - Ω) | \\ left \times prefixcos [GD (ω - δ - Ω / 2) \cdot Ω + ϕ_{gd}] . \end{matrix}

An example of a 2DSI map is presented in Fig.…”

Section: Ultrabroadband Pulse Characterization Techniquesmentioning

confidence: 99%

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Coherent pulse synthesis: towards sub-cycle optical waveforms

Manzoni

Mücke

Cirmi

et al. 2015

Laser & Photonics Reviews

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The generation of sub-optical-cycle, carrier-envelope phase-stable light pulses is one of the frontiers of ultrafast optics. The two key ingredients for sub-cycle pulse generation are bandwidths substantially exceeding one octave and accurate control of the spectral phase. These requirements are very challenging to satisfy with a single laser beam, and thus intense research activity is currently devoted to the coherent synthesis of pulses generated by separate sources. In this review we discuss the conceptual schemes and experimental tools that can be employed for the generation, amplification, control, and combination of separate light pulses. The main techniques for the spectrotemporal characterization of the synthesized fields are also described. We discuss recent implementations of coherent waveform synthesis: from the first demonstration of a single-cycle optical pulse by the addition of two pulse trains derived from a fiber laser, to the coherent combination of the outputs from optical parametric chirped-pulse amplifiers.

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“…The subtraction of

ω τ

is the key to successful reconstruction of the spectral group delay. An error in determining the delay,

δ τ

, will result in a relative error in the measured pulse width,

δ T / T \approx (Δ ω^{2} / 2 Ω) δ τ

. The relative error scales quadratically with the bandwidth

Δ ω

in an optical system.…”

Section: Ultrabroadband Pulse Characterization Techniquesmentioning

confidence: 99%

\begin{matrix} true \\ right I (ω, ϕ_{gd}) & = & left | A (ω - δ) + A (ω - δ - Ω) {normale}^{j ϕ_{gd}} |^{2} \\ = & left DC + 2 | A (ω - δ) A (ω - δ - Ω) | \\ left \times prefixcos [GD (ω - δ - Ω / 2) \cdot Ω + ϕ_{gd}] . \end{matrix}

An example of a 2DSI map is presented in Fig.…”

Section: Ultrabroadband Pulse Characterization Techniquesmentioning

confidence: 99%

Coherent pulse synthesis: towards sub-cycle optical waveforms

Manzoni

Mücke

Cirmi

et al. 2015

Laser & Photonics Reviews

Self Cite

204

123

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show abstract

“…The delay problem can be solved by the so-called zerodelay shearing interferometry in which the frequency-shifted replicas of the pulse under test are at delay τ 0. Two implementations of this delay-free method are spatially encoded arrangement (SEA)-SPIDER [6] and two-dimensional (2-D) spectral shearing interferometry (2DSI) [7,8]. SEA-SPIDER uses noncollinear ancillae and encodes the spectral phase information in a spatial fringe pattern.…”

Section: Introductionmentioning

confidence: 99%

“…Various techniques have been proposed for the generation of the sheared ancillae, mainly based on Michelson or Mach-Zehnder interferometers (MI) in combination with a temporally [4,[6][7][8] or spatially chirped broadband pulse [9]. The precise determination of the spectral shear Ω requires particular care, as evidenced by the introduction of specific techniques based on spectral filtering [10,11] or on consistency checks through multiple shears acquisitions [12,13].…”

Section: Introductionmentioning

confidence: 99%

“…1(a). It starts from a strongly chirped pulse, obtained by passing either a replica of the pulse under test [7,8] or an auxiliary pulse [14,15] through a dispersive delay line (DDL), and creates the sheared ancillae with an unbalanced MI, which is also used for scanning the delay τ CW . The Wigner map of the resulting ancillary fields is shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

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Optimized ancillae generation for ultra-broadband two-dimensional spectral-shearing interferometry

et al. 2015

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To overcome the challenges of ancillae preparation in two-dimensional spectrally sheared interferometry, we apply the approach based on spectral filtering in the Fourier plane of a 4-f zero-dispersion compressor, which allows the generation of two sheared and synchronized monochromatic fields. The scheme provides direct and precise measurement of their spectral shear, greatly improving the accuracy and reliability of spectral phase retrieval. By characterizing few-optical-cycle pulses spanning nearly two octaves of bandwidth, we prove the applicability of this method to sub-single-cycle pulses.

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Characterization of sub-two-cycle pulses from a hollow-core fiber compressor in the spatiotemporal and spatiospectral domains

et al. 2013

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We have post-compressed 25 fs (Fourier limit) amplified pulses in an argon-filled hollow-core fiber. The output pulses were compressed using a pair of wedges and chirped mirrors down to 4.5 fs (Fourier limit of 4.1 fs), which corresponds to less than two optical cycles. We then performed the characterization of the pulses by combining the d-scan and the STARFISH techniques. The temporal (and spectral) measurement of the pulses is done with d-scan, which is used as the reference to extend the characterization to the spatiotemporal (and spatiospectral) amplitude and phase of the pulses by means of STARFISH. The post-compressed pulses at the output of the hollowfiber had an energy of 150 lJ. The analysis of the pulses revealed larger spectral broadening and blue-shift, and shorter duration at the center of the beam. For the first time, we demonstrate the complete characterization of intense ultra-broadband pulses in the sub-two-cycle regime, which provides an improved insight into the properties (space-time and space-frequency) of the pulses and is highly relevant for their applications.

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Theory and design of two-dimensional spectral shearing interferometry for few-cycle pulse measurement

Cited by 41 publications

References 20 publications

Coherent pulse synthesis: towards sub-cycle optical waveforms

Coherent pulse synthesis: towards sub-cycle optical waveforms

Optimized ancillae generation for ultra-broadband two-dimensional spectral-shearing interferometry

Characterization of sub-two-cycle pulses from a hollow-core fiber compressor in the spatiotemporal and spatiospectral domains

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