飞秒激光脉冲压缩用啁啾镜新设计方法

对配对啁啾镜传统的优化过程进行了改进,并且尝试了新的多个啁啾镜匹配的方法。理论上实现了在700～1050 nm光谱范围内,两个啁啾镜配对色散总和振荡小于±10 fs2,三个啁啾镜配对色散总和振荡小于±15 fs2。此配对啁啾镜所实现的精确补偿色散,是获得极短光脉冲的基础,可以用于飞秒激光的脉冲压缩。     

Group delay dispersion compensation in an Ytterbium-doped fiber laser using intracavity Gires-Tournois interferometers

This paper reports the use of a pair of multi-cavity Gires-Tournois interferometer (GTI) mirrors in a ring cavity Ytterbium-doped fiber laser for dispersion compensation. The optical spectrum was broadened by 6 nm due to the large negative group delay dispersion introduced by the light undergoing 10 round trips between the GTI mirrors. The design of the GTI mirrors and the optimisation of the layers are discussed and fabrication results are presented.     

钛宝石激光器9.5 fs脉冲输出中的啁啾镜色散补偿

根据钛宝石激光器的要求,实验设计了中心波长800 nm带宽200 nm的啁啾镜,在700—900 nm波长范围内提供约-60 fs²群延迟色散(group delay dispersion,GDD).采用双射频离子束溅射方法进行制备,用实验室搭建的白光干涉仪进行色散性能测试,从测试结果可以看出,制备的啁啾镜的性能和设计值符合得比较好.制备得到的非成对啁啾镜在钛宝石激光谐振腔中进行色散补偿,锁模后分别获得了12 fs和9.5 fs的激光脉冲输出.这是目前报道的使用国产啁啾镜获得的最短的 关键词： 啁啾镜 群延迟色散 色散补偿 钛宝石激光器     

宽带啁啾镜对的设计和制备

设计了中心波长800 nm带宽约500 nm的啁啾镜对, 在550–1050 nm波长范围内提供约-60 fs²群延迟色散(group delay dispersion, GDD), 通过啁啾镜对的形式使GDD振荡波纹由单个啁啾镜的±100 fs²减小到±20 fs². 采用双射频离子束溅射方法进行制备, 用白光干涉仪进行色散性能测试, 从测试结果可以看出, 制备的啁啾镜的反射率、GDD性能和设计值符合得比较好. 制备出的550–1050 nm超宽带啁啾镜对在钛宝石激光器腔外进行色散补偿, 原输入脉冲由24–27 fs压缩到12 fs, 这是国产超宽带啁啾镜对的首次应用. 关键词： 超快激光 啁啾镜对 群延迟色散 色散补偿     

Theoretical investigation of chirped mirrors in semiconductor lasers

This paper reports a theoretical design of chirped mirrors in 1.3-μm double-section semiconductor lasers to achieve high reflectivity and dispersion compensation over a broad bandwidth. Analytic expressions for reflectivity, group delay and group delay dispersion are derived. We use for the first time chirped air/semiconductor layer pairs as mirrors for higher-order dispersion compensation in semiconductor lasers. Our optimised calculations demonstrate that the broad-band mirrors designed consist of a total of only 12 air/semiconductor layers and achieve a reflectivity higher than 99.8%, a smooth group delay and almost stable dispersion in the laser cavity over a 100-nm bandwidth. Due to a high index contrast of both types of the layers, n _l = 1, n _h~ 3.5, a high-reflectivity bandwidth of > 700 nm is obtained in 1.3-μm semiconductor lasers. We also compare our results with that of a commercial simulation program and show a good agreement between them. As a conclusion, we assume from the theoretical results that air/semiconductor layer pairs with varying thicknesses used at one end of double-section semiconductor lasers can lead to femtosecond optical pulse generation using mode-locking techniques. An erratum to this article can be found at .     

Negative dispersion mirrors for dispersion control in femtosecond lasers: chirped dielectric mirrors and multi-cavity Gires-Tournois interferometers

Chirped dielectric laser mirrors have been known for years as useful devices for broadband feedback and dispersion control in femtosecond pulse lasers. First we present a novel design technique referred to as frequency domain synthesis of chirped mirrors. These mirrors exhibit high reflectivity and nearly constant group delay over 150 THz supporting generation of sub-5-fs pulses in the visible. Afterwards, multi-cavity thin-film Gires-Tournois interferometers are introduced for the first time as an alternative approach to realize "negative dispersion mirrors". These novel dielectric high reflectors exhibit reflectivities R>99.97% and a negative group delay dispersion of ⫆ǃ fs² over a bandwidth of 56 THz. Dispersive properties originate from coupled resonances in multiple 5/2 cavities embedded in the layer structure. The general structure and performance of multi-cavity Gires-Tournois interferometers are compared to that of chirped dielectic mirrors and their distinct applications are discussed.     

钛宝石激光器中用优化Gires-Tournois镜产生15 fs脉冲

根据飞秒脉冲锁模钛宝石激光器脉冲压缩的要求,介绍了负色散镜补偿色散的基本原理及其特点。详细阐述了优化Gires-Tournois(OG-T)镜的设计过程,并通过计算机优化得到理想设计膜系。采用离子束溅射的方法镀制了优化Gires—Tournois镜。测量了优化Gires-Tournois镜(编号为OGT#1)的透射率和群延迟色散,并与设计值进行了比较,分析了实测值产生偏差的原因,从而对镀膜参量进行了相应的调整,制造了第二批优化Gires—Tournois镜(编号为OGT#2)。将优化Gires—Tournois镜用于钛宝石激光器振荡级内,单程5次通过三个优化Gires-Tournois镜,补偿了激光器腔内色散,实现了飞秒锁模脉冲运转。用OGT#1先进行了实验,获得32fs的脉冲和46nin的光谱宽度。用调整参量后的OGT#2进行了实验,获得了15fs的超短脉冲和91nm的光谱宽度。实验很好的验证了负色散镜补偿色散的优点,为国内啁啾镜的研制创造了条件。     

Ultrafast laser pulses generated from the chromium-doped cunyite laser

Femtosecond pulses were generated from a Cr⁴⁺: Cunyite laser using a combination of a broadband semiconductor saturable absorber mirror (SESAM), chirped mirrors, and passive mode locking. The astigmatically compensated asymmetric X-cavity with a 4.5-mm-long Cr⁴⁺:Ca₂GeO₄ sample was operated with a 2.5% output coupler. Dispersion compensation was achieved using chirped mirrors. During self-starting mode-locked operation, pulses as short as 365 fs were generated at a pulse repetition rate of 100 MHz with output power of 70 mW and a spectral bandwidth of 5.2 nm at the center wavelength of 1432 nm.     

Cr∶LiSAF飞秒激光器中Gires-Tournois镜的设计

飞秒激光脉冲的产生主要依赖于激光腔内净的负群延迟色散.但是在固体激光器中,增益介质和其它光学元件却引入了正色散,因此需引入相应的色散补偿机制.布儒斯特角棱镜对曾是激光腔中色散补偿的主要办法,但是它在进行群延迟色散补偿的同时还会引入高阶色散,使激光器操作困难并影响激光器的尺寸和重复频率.Gires-Tournois镜是一种新型的色散补偿元件,可以克服这些缺点.本文介绍了Gires-Tournois镜的基本结构,分析了影响Gires-Tournois镜的群延迟时间、群延迟色散和三阶色散的量,给出了Gires-Tournois镜的设计原则并根据Cr∶LiSAF飞秒激光器中的色散补偿要求设计了性能优良的Gires-Tournois镜.该Gires-Tournois镜在750~900 nm的波长范围内具有高于99.9%的反射率和-35±8fs2的群延迟色散.用这样的Gires-Tournois镜经过4次反射后可以补偿3mm的Cr∶LiSAF晶体的绝大部分群延迟色散.     

Back-side-coated chirped mirrors with ultra-smooth broadband dispersion characteristics

We demonstrate a new technique for the design of chirped mirrors with extremely smooth dispersion characteristics over an extended ultra-broadband wavelength range. Our approach suppresses spectral dispersion oscillations, which can lead to unwanted strong spectral modulations and limit the bandwidth of mode-locked laser pulses. Dispersion oscillations are significantly reduced by coating the chirped mirror structure on the back side of a substrate, providing ideal impedance matching between coating and ambient medium. An anti-reflection coating may be added on the front side of the substrate, geometrically separated from the chirped mirror. The chirped mirror structure and the anti-reflection coating are non-interfering and can be independently designed and optimized. The separation of both coating sections provides a much better solution for the impedance-matching problems than previous approaches to chirped mirror design. We show by a theoretical analysis and numerical simulations that minimum dispersion oscillations are achieved if the index of the substrate is identical to the index of one of the coating materials and if double-chirping is used for the chirped mirror structure. Based on this analysis, we design a mirror that supports a bandwidth of 220 THz with group delay dispersion oscillations of about 2 fs² (rms), an order-of magnitude improvement compared to previous designs of similar bandwidth. In a first experimental demonstration of back-side-coated (BASIC) mirrors, we achieve nearly transform-limited and virtually unchirped pulses of 5.8 fs duration from a Kerr-lens mode-locked Ti:sapphire laser. BASIC mirrors are particularly suited for higher-order dispersion compensation schemes. They support the extremely broad spectra of few-cycle pulses and promise to provide clean pulse shapes in this regime. Received: 19 April 2000 / Published online: 6 September 2000     

1.5-octave chirped mirror for pulse compression down to sub-3 fs

We demonstrate numerically and experimentally a chirped mirror with controlled reflectivity and dispersion of up to 1.5 octaves. A complementary pair of such mirrors has a reflectivity of 95% in the wavelength range 400–1200 nm with residual group delay dispersion ripples <100 fs² in all of this range. The mirror pair allows one to compensate a chirp of the corresponding spectrum (with a smooth phase), resulting in sub-3-fs pulses. PACS 42.65.Re; 42.79.Fm; 42.79.Wc     

Shape selection of wavelets for accurate chromatic dispersion measurement of white-light spectral interferograms

The group delay of chirped mirrors can be directly read from the ridge of wavelet-transform of white-light spectral interferograms. In this paper, we investigate the influence of Gabor wavelet shaping factor on the precision of the group-delay dispersion extraction. The rule of selection of shaping factor is given for accurate chromatic dispersion measurement of chirped mirrors.     

Transmission system over 3000 km with dispersion compensated by chirped fiber Bragg gratings

The limitation of the system with dispersion compensation by chirped fiber Bragg gratings is investigated in this paper. The transmission distance of the system based on chirped fiber Bragg gratings surpasses 3000 km. The bit error rate (BER) of the system is below 10⁻⁹ for as long as 2000 km. The BER is about 10⁻⁷ at 3000 km and, when forward error correction (FEC) is added, zero BER can be achieved. It is the longest transmission system with dispersion compensation by chirped fiber Bragg gratings.     

飞秒激光器中超宽带色散补偿啁啾镜对的设计

根据设计目标和制备要求, 以双啁啾作为啁啾镜膜系初始结构设计方法, 详细分析了双啁啾调制系数以及双啁啾层数对啁啾镜反射特性和色散特性的影响, 确立了两者之间的最佳取值组合. 利用分析结果设计了单个啁啾镜, 并实现了啁啾镜的配对设计, 获得了600–1050 nm范围内反射率大于99.5%, 平均群延迟色散-40 fs², 振荡小于± 20 fs²的啁啾镜对, 满足了钛宝石飞秒激光系统的色散补偿要求. 关键词： 超快激光 色散补偿薄膜 双啁啾镜 啁啾镜对     

Analytical performance evaluation of an adjustable PMD compensator using high-birefringence linearly chirped FBG

System performance of a high-speed WDM transmission system in the presence of PMD can be improved significantly by using an adjustable PMD compensator. We have analytically evaluated the performance of a tunable PMD compensator based on high-birefringence linearly chirped fiber Bragg grating. The device can adjust differential group delay in a linearly continuous way without affecting the wavelength outside the bandwidth. Various properties of the device such as relative group delay, differential group delay, reflectivity, etc. are investigated in terms of wavelength and grating length. Results show that under stretched condition the device generates a time delay between fast and slow polarization axes, which is adjustable from 0 to 55 ps and is tunable within 2.4 nm wavelength range.     

Investigation of monolayer dispersion of benzoic acid supported on the surface of H-titanate nanotubes

Benzoic acid (BA) can disperse spontaneously onto the surface of H-titanate nanotubes (HTNTs) in a sub-monolayer state by heating mechanical mixtures method. The structure of BA-HTNTs system has been characterized by X-ray diffraction (XRD), thermogravimetric (TG), Fourier transform infrared spectroscopy (FTIR) and X-ray photoelectron spectroscopy (XPS) in detail. The results show that the H-bond association structure among BA molecules collapses and the carboxyl groups react with the surface hydroxyl group of HTNTs to form a salt-like structure on the surface after dispersion. The monolayer dispersion capacity determined by XRD is ca. 0.305 g BA g⁻¹ HTNTs, which is lower than the utmost monolayer dispersion capacity 0.550 g BA g⁻¹ HTNTs calculated according to a model that the benzene ring in BA molecules is perpendicular to the surface of HTNTs. At the same time, the dispersion capacity is also measurement by the fit of C 1s XPS peak at various BA loadings at first time.     

Direct intensity modulation of a rectangular ring laser with bidirectional lasing characteristics

The direct intensity modulation of a three-guide coupled rectangular ring laser having bidirectional lasing characteristics is reported for the first time. The rectangular laser cavity consists of four low loss total internal reflection mirrors and an output coupler made out of three passive coupled waveguides. The laser is fabricated using a total cavity length of 580 μm with active section lengths of 250 μm. For both the clockwise and counterclockwise circulating directions, a lasing threshold of around 38 mA is obtained at room temperature under continuous wave operation. A maximum 3-dB modulation bandwidth of approximately 3.2 GHz is observed in both circulating directions.     

Design of multilayer high-dispersion mirrors using multi-swarm optimization method

Design of high-dispersion mirrors (HDMs) using a proposed multi-swarm optimization method is reported. We design HDMs for Yb:YAG disk oscillator at 1030 nm and ultrashort pulse Cr:YAG laser at 1550 nm. The results show that the optimum group delay dispersion and reflectance can be obtained with optimal number of layers. The proposed optimization method has a fast convergence rate and powerful global search ability and can be utilized effectively for the design of a variety of optical thin film filters.     

Group delay dispersion measurement of Yb:YAl3(BO3)4 crystal with white-light interferometry

We report the group delay dispersion of Yb³⁺:YAl₃(BO₃)₄ (Yb:YAB) crystal measured by a white-light interferometer, and compare with that calculated from the Sellmeier formulae provided by the crystal supplier, over the wavelength range from 1000 nm to 1080 nm. The data should be useful for the dispersion compensation for femtosecond pulse generation in Yb:YAB lasers.     

Determination of the refractive index over a wide wavelength range through time-delay measurements of femtosecond pulses

We present a simple method to measure the refractive index dispersion over a broad wavelength range (0.6-1.6 μm). In a first step, the optical group indices are obtained by measuring the time-retardation of tunable 150 fs laser pulses within a sample relative to air. The refractive index dispersion is then calculated using a Sellmeier equation that describes the measured group index dispersion. We show that our experimental data agree with previously published results to within 2 × 10⁻⁴ for a 3 mm thick sample of fused silica and to within 3 × 10⁻³ for the index n₁ of a 2 mm thick crystal of the highly dispersive and anisotropic organic crystal 4-N,N-dimethylamino-4′-N′-methyl stilbazolium tosylate (DAST).