Pulse‐shape instabilities and their measurement

Multi‐shot pulse‐shape measurements of trains of ultrashort pulses with unstable pulse shapes are studied. Measurement techniques considered include spectral‐phase interferometry for direct electric‐field reconstruction (SPIDER), second harmonic generation frequency‐resolved optical gating (FROG), polarization gate FROG, and cross‐correlation FROG. An analytical calculation and simulations show that SPIDER cannot see unstable pulse‐shape components and only measures the coherent artifact. Further, the presence of this instability cannot be distinguished from benign misalignment effects in SPIDER. FROG methods yield a better, although necessarily rough, estimate of the pulse shape and also indicate instability by exhibiting disagreement between measured and retrieved traces. Only good agreement between measured and retrieved FROG traces or 100% SPIDER fringe visibility guarantees a stable pulse train.     

The criterion of pulse reconstruction quality based on Wigner representation

We propose a new criterion for the assessment of ultrashort pulse reconstruction quality. Our idea is based on the use of a two-dimensional Wigner representation of the electric field. This allows introducing a single measure to represent the quality of both phase and amplitude retrieval. The new criterion is employed to examine two contemporary pulse characterization techniques: FROG (Frequency Resolved Optical Gating) and SPIDER (Spectral Interferometry for Direct Electric-field Reconstruction). For SPIDER, the influence of reference pulse stretching on the quality of phase extraction is investigated. Next, we ascertain the limitations in the use of a Fabri-Perrot etalon in the SPIDER apparatus for producing delayed pulse replicas. For the FROG technique we examine the impact of the doubling crystal orientation on the quality of the amplitude-phase retrieval of sub-5-fs pulses. The introduced criterion is also applied to study the respective sensitivity of FROG and SPIDERto the limited phase-matching bandwidth of the non-linear medium and detector noise.     

飞秒激光脉冲宽度和脉冲波形测试技术

飞秒激光在激光核聚变、卫星精密测距、激光微加工等领域具有重要的应用前景,同时也是产生太赫兹波的主要泵浦源。介绍了国内外飞秒激光脉冲宽度和脉冲波形的测试方法,比较了自相关法、频率分辨光学快门法、光谱相位相干直接电场重构法的优缺点。自相关法具有脉宽测量范围广、结构简单等特点,但不具备脉冲波形测试能力。光谱相位相干直接电场重构法对待测激光光束质量要求较高, 不适合大量程范围激光脉宽快速测量。为满足10 fs~5 ps大量程范围超短激光脉冲宽度和脉冲波形的测试需求,采用自相关法及二次谐波频率分辨光学开关法研制飞秒激光脉冲宽度和脉冲波形测试仪,时间分辨率优于2 fs。     

飞秒脉冲测量技术

随着飞秒激光技术的发展，飞秒激光脉冲的准确测量已成为非常重要的研究内容。文章在简要概述几种常见测量方法的基础上，着重综述了近年来发展起来的光学频率光栅开关法（FROG）及自参考光谱位相相干电场重建法（SPIDER），并介绍了文章作者进行的相关工作。     

Characterization of the spectral phase of ultrashort light pulses

The complete characterization of a short light pulse requires the measurement of the value of the electric field as a function of time, or conversely, as a function of the optical frequency. Many different techniques have been demonstrated for this purpose. They fall in two main categories, whether a known reference pulse whose spectrum encompasses that of the unknown pulse is available or not. In the first case, linear techniques such as time-domain or frequency-domain interferometry can be directly used, with the advantage of a high sensitivity. In the latter case, non-stationary filters can be implemented using optical non-linearities, in techniques such as Frequency Resolved Optical Gating (FROG) or Spectral Phase Interferometry for Direct Electric-field Reconstruction (SPIDER).     

飞秒激光脉冲的谐波频率分辨光学开关法测量研究

建立了一台谐波频率分辨光学开关法(FROG)飞秒脉冲测量装置，利用该装置进行了掺钛蓝宝石飞秒激光脉冲的测量研究.在二次谐波自相关测得的时域和频域信号基础上，结合对信号光强度分布的计算机迭代处理，得到了有关飞秒激光电场、光谱及其相位的信息，所得脉宽与干涉测量的结果基本一致. 关键词： 频率分辨光学开关法(FROG) 迭代计算 飞秒激光 自相关     

Generation of double pulses in-line by using reflective Dammann gratings

Doubled femtosecond laser pulses in-line are needed in the collinear pump-probe technique, collinear second harmonic generation frequency-resolved optical gating (SHG FROG) and the spectral phase interferometry for direct electric-field reconstruction (SPIDER), etc. Normally, it is generated by using a Michelson's structure. In this paper, we proposed a novel structure with two-layered reflective Dammann gratings and the reflective mirrors to generate doubled femtosecond laser pulses in line without transmission optical elements. Angular dispersion and spectral spatial walk-off are both compensated. In addition, this structure can also compress the positive chirped pulse, which cannot be realized with a Michelson's structure. By adopting triangular grating and blazed gratings, the efficiency of the system would in principle be increased as the Michelson's scheme. Experiments demonstrated that this method should be an alternative approach for generation of the double compressed pulses of femtosecond laser for practical applications.     

Frequency-resolved optical gating of femtosecond pulses in the extreme ultraviolet

Femtosecond extreme ultraviolet (XUV) pulses were fully characterized for the first time by using a newly developed cross-correlation frequency-resolved optical gating (FROG) technique in the XUV region. This method utilizes laser-assisted two-photon ionization as a nonlinear optical process. Near-infrared pulses characterized by FROG were used as a reference. The amplitude and phase of XUV pulses with a pulse duration of 10 fs were found to be in good agreement with a model analysis, taking into account phase modulation by ionization, self-phase modulation, and the atomic dipole phase.     

Single-beam homodyne SPIDER for multiphoton microscopy

We report a new version of spectral phase interferometry for direct electric field reconstruction (SPIDER) requiring only a single phase-shaped laser beam. A narrowband probe pulse is selected out of a broadband ultrafast laser pulse by a phase pulse-shaping technique and mixed with the original broadband pulse to generate a second-harmonic generation (SHG) signal. Using another SHG signal solely generated by the broadband pulse as a local oscillator, the spectral phase of the broadband laser pulse can be analytically retrieved by a combination of double-quadrature spectral interferometry and homodyne optical technique for SPIDER (HOT SPIDER). An arbitrary spectral phase at the sample position of a microscope can be compensated with a precision of 0.05 rad over the FWHM of the laser spectrum. It is readily applicable to a nonlinear microscopy technique with a phase-controlled broadband laser pulse.     

Generation of near transform-limited ultrashort laser pulses in kilohertz chirped-pulse amplification system by compensating high order phase distortions

The effects of gain narrowing and high order dispersions on the pulse duration in our kilohertz chirpedpulse amplification system have been compensated experimentally. Using an acousto-optic programmable dispersive filter (AOPDF), the spectral full-width at half-maximum (FWHM) is expanded from 30 to50 nm. Stable laser pulses with the duration of 30 fs (FWHM), which is 1.07 times Fourier-transformlimitation, have been acquired by pre-compensating the high order phase distortions using the phase measured by spectral phase interferometry for direct electric-field reconstruction (SPIDER).     

Tomographic retrieval of the polarization state of an ultrafast laser pulse

We introduce a self-referenced method for determining the complete polarization state of an ultrafast pulse field. The algorithm is based on any well-established technique that measures both the intensity and phase of a single polarization, such as frequency-resolved optical gating (FROG). We demonstrate the retrieval of nontrivial fields generated using a polarization-amplitude-phase ultrafast pulse shaper using four standard FROG measurements.     

Characterization of sub-6-fs optical pulses with spectral phase interferometry for direct electric-field reconstruction

We demonstrate spectral phase interferometry for direct electric-field reconstruction (SPIDER) as a novel method to characterize sub-6-fs pulses with nanojoule pulse energy. SPIDER reconstructs pulse phase and amplitude from a measurement of only two optical spectra by use of a fast noniterative algorithm. SPIDER is well suited to the measurement of ultrabroadband pulses because it is quite insensitive to crystal phase-matching bandwidth and to unknown detector spectral responsivity. Moreover, it combines highly accurate pulse-shape measurement with the potential for online laser system diagnostics at video refresh rates.     

Amplitude ambiguities in second-harmonic generation frequency-resolved optical gating

We construct field shapes with distinct amplitude profiles that have nearly identical second-harmonic generation frequency-resolved optical gating (SHG FROG) traces. Although such fields are not true mathematical ambiguities, they result in experimentally indistinguishable FROG traces. These fields are neither time-reversed copies nor pulselets with a mere relative phase difference, which are well known nontrivial ambiguities for SHG FROG. We also show that for certain example fields, second-order interferometric autocorrelation is more sensitive to the pulse shape than is SHG FROG.     

Mirror dispersion control of a hollow fiber supercontinuum

Ultrabroadband chirped mirrors with a bandwidth of 270 THz have been manufactured using the BASIC design approach. These mirrors were used to compress the supercontinuum of cascaded hollow fibers down to 4.6 fs. The pulse duration was measured with spectral phase interferometry for direct electric-field reconstruction (SPIDER). PACS 42.65.Re; 42.65.Wi; 42.79.Fm     

Homodyne detection in spectral phase interferometry for direct electric-field reconstruction

We study and demonstrate a version of spectral phase interferometry for direct electric-field reconstruction (SPIDER) that uses self-referencing homodyne detection. This technique has a higher sensitivity than conventional SPIDER, is self-calibrating, and can be adjusted for a wider range of pulse parameters.     

A Simpler and More Precise Data Processing Method of SPIDER and Its Apparatus Design

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A Simpler and More Precise Data Processing Method of SPIDER and Its Apparatus Design

To measure the characteristics of ultrashort laser pulse, an apparatus design and its data processing based on SPIDER are put forward. In this method, the data processing is very simple and only basic mathematic calculation is needed. Furthermore, the pulse to be measured is avoided to pass through any dispersive structure before it arrives at the nonlinear crystal in the designed apparatus. In such a design, the pulse duration less than 10fs can be measured precisely.     

Sensing and compensation of femtosecond waveform distortion induced by all-order polarization mode dispersion at selected polarization states

We demonstrate full characterization of femtosecond pulse distortion induced by all-order polarization mode dispersion (PMD) at selected polarization states via second-harmonic generation (SHG) frequency-resolved optical gating (FROG) measurements at an average power of under 28 nW. By applying the inverse of the measured spectral phase via a programmable pulse shaper, we compress the distorted pulses from more than 3 ps to nearly bandwidth-limited durations of less than 500 fs. Our results show that SHG FROG measurements performed by using fiber-pigtailed aperiodically poled lithium niobate waveguides can serve as a robust and sensitive tool for characterization of PMD-induced spectral phase.     

无干涉条纹的光谱位相相干直接电场重构法

提出一种新的诊断飞秒脉冲振幅与位相的高精度测量方法.该方法发展了传统的SPIDER方法，保留了原方法对脉冲信息可以实时、有效和全面地测取的优点，并能克服其不能测量脉宽较大或位相信息复杂的脉冲的缺点.在新方法中和频后的脉冲对没有相对延时，形成无干涉条纹的剪切干涉图.在调节一个小量延时于某些特定值，可去掉剪切干涉图的歧义性.给出数值模拟结果，证明此方法无需经过傅里叶变换滤波，可直接由干涉图唯一地提取出脉冲的振幅与位相信息. 关键词： 光谱位相相干直接电场重构法 飞秒脉冲测量 超快信息光学     

改进型零附加相位光谱相位相干电场重构系统对啁啾脉冲的测量

现有的基于光谱相位相干电场重构法(SPIDER)的脉冲测量系统,在测量啁啾脉冲时容易出现误差.本文提出一个改进型零附加相位光谱相位相干电场重构系统(MZAP-SPIDER),来解决上述问题.在实验上,利用改进后的SPIDER系统测量了钛宝石飞秒激光器输出的脉冲及其经80mm长的BK7玻璃块展宽得到的啁啾脉冲.结果表明,该系统能胜任啁啾脉冲的相位测量.