Enhanced compression of femtosecond pulse in hollow-core photonic bandgap fibers

Compression of chirped free femtosecond pulses in hollow-core photonic bandgap fibers is investigated numerically. The results show that intrapulse stimulated Raman scattering can improve the quality of the compressed pulse. Positive third-order dispersion is the main limitation on the compression of the femtosecond pulse. However, the combined effect of the intrapulse stimulated Raman scattering and the negative third-order dispersion can form still shorter pulses than is possible with intrapulse stimulated Raman scattering alone. We also investigate the influence of width and peak power of input pulse on pulse compression.     

利用ND-DDF放大器获得更佳线性啁啾抛物线脉冲

基于在正常色散渐减光纤（ND-DDF）或者正常色散光纤放大器，获得线性啁啾抛物线脉冲，提出并分析了利用ND-DDF放大器获得线性啁啾抛物线脉冲的优化方案．数值研究结果表明：与用ND-DDF或者正常色散光纤放大器获得线性啁啾抛物线脉冲的方案相比，利用ND-DDF放大器获得的抛物线脉冲的线性啁啾更为明显；研究还发现，增益影响着线性啁啾的大小和质量．计算表明，利用ND-DDF放大器产生的抛物线脉冲经啁啾补偿后可获得更大的压缩因子和更高的峰值功率．     

Pulse compression effect based on stimulated Brillouin scattering light storage in an optical fiber

The pulse compression effect in SBS light storage is numerically investigated. We demonstrate theoretically that the compressed width of retrieved data-pulses is not only related with temporal profile of data-pulse, but also spectrum and temple profile of control-pulse. The data-pulses with steep rising edge can be compressed after they are retrieved. The optimum compression effect takes place when a 2-ns-long exponential data-pulse interacts with a 1.5-ns-long chirped Gaussian control-pulse, where the data-pulse width is compressed to 1.73-ns-long and the readout efficiency is the biggest. A 2-ns-long rectangular data-pulse is also compressed to 1.73-ns-long when it encounters to a 1.5-ns-long rectangular control-pulse, but the readout efficiency isn’t maximum value. The results are significant for increasing storage capacity and variable bits all-optical buffering.     

Pulse propagation analysis based on the temporal Radon-Wigner transform

Based on the space-time duality and the temporal imaging theory, an optical implementation of the Radon-Wigner transform in the time domain is proposed for analyzing the propagation of ultrashort light pulses in guided dispersive media. As an application of this approach, we discuss the temporal selfimaging or Talbot effect originated by a periodic pulse train. The frequency chirp of the pulses is also considered in order to evaluate its effect on both the integer and the fractional selfimages.     

Pulse compression at 1.06 microm in dispersion-decreasing holey fibers

We report compression of low-power femtosecond pulses at 1.06 microm in a dispersion-decreasing holey fiber. Near-adiabatic compression of 130 fs pulses down to 60 fs has been observed. Measured spectra and pulse shapes agree well with numerical simulations. Compression factors of ten are possible in optimized fibers.     

Controlling waveform of light pulse with light in optical fibers

We present our experimental demonstration of controlling waveform of a signal pulse by using two beams of continuous wave (CW) generated by stimulated Brillouin scattering (SBS) in optical fibers with different frequencies. Waveform of the signal pulse is modulated in an “all-optical” way according to total input power. This method is only suitable for light pulse with nanosecond width. We provide a new method for controlling light with light.     

Parameter optimization of pulse compression in ultrasound imaging systems with coded excitation

A linear array imaging system with coded excitation is considered, where the proposed excitation/compression scheme maximizes the signal-to-noise ratio (SNR) and minimizes sidelobes at the output of the compression filter. A pulse with linear frequency modulation (LFM) is used for coded excitation. The excitation/compression scheme is based on the fast digital mismatched filtering. The parameter optimization of the excitation/compression scheme includes (i) choice of an optimal filtering function for the mismatched filtering; (ii) choice of an optimal window function for tapering of the chirp amplitude; (iii) optimization of a chirp-to-transducer bandwidth ratio; (iv) choice of an appropriate n-bit quantizer. The simulation results show that the excitation/compression scheme can be implemented as a Dolph–Chebyshev filter including amplitude tapering of the chirp with a Lanczos window. An example of such an optimized system is given where the chirp bandwidth is chosen to be 2.5 times the transducer bandwidth and equals 6 MHz: The sidelobes are suppressed to −80 dB, for a central frequency of 4 MHz, and to −94 dB, for a central frequency of 8 MHz. The corresponding improvement of the SNR is 18 and 21 dB, respectively, when compared to a conventional short pulse imaging system. Simulation of B-mode images demonstrates the advantage of coded excitation systems of detecting regions with low contrast.     

Optical pulse compression using the temporal Radon-Wigner transform

The temporal Radon-Wigner transform (RWT), which is the squared modulus of the fractional Fourier transform (FRT) for a varying fractional order p, is here employed as a tool for pulse compression applications. To synthesize the compressed pulse, a selected FRT irradiance is optically produced employing a photonic device that combines phase modulation and dispersive transmission. For analysis purposes, the complete numerical generation of the RWT with 0 < p < 1 is proposed to select the value of p required for pulse compression. To this end, the amplitude and phase of the signal to be processed should be known. In order to obtain this information we use a method based on the recording of two different FRT irradiances of the pulse. The amplitude and phase errors of the recovered signal, which are inherent to the recording process, are discussed in connection with the RWT production. Numerical simulations were performed to illustrate the implementation of the proposed method. The technique is applied to compress signals commonly found in fiber optic transmission systems, such as chirped gaussian pulses, pulses distorted by second and third-order dispersion and nonlinear self-modulated pulses.     

Periodic pulse train conformation based on the temporal Radon-Wigner transform

By using the Radon-Wigner transform (RWT), we analyze the temporal selfimaging or Talbot effect for producing well-conformed pulse trains with variable repetition rates and duty-cycles. The relationships linking the selfimaging conditions with the fractional orders of the RWT are first obtained for unchirped pulse trains. Then, we extend the analysis to chirped pulse sequences by deriving the conditions to be fulfilled by an equivalent unchirped pulse train producing the same selfimage irradiances. This result becomes relevant for observing well-defined high order fractional selfimaging, which are of interest due to their repetition rate multiplication. Besides, the effect of the finite extension of the pulse train on the selfimage quality is analyzed and a condition is found for relating the required minimum pulse number with the chirp parameter of the pulses.     

基于高非线性微结构光纤环镜的脉冲压缩与基座抑制

提出了利用一种高非线性微结构光纤构成非线性光纤环镜（NOLM）进行脉冲压缩和基座抑制的方案.所提出的微结构光纤具有高非线性系数和大反常色散.理论研究了基于这种微结构光纤的NOLM对脉冲的压缩效应,并分析了压缩的机制.数值结果表明,这种NOLM采用较短的光纤长度就能有效地压缩脉冲并明显抑制了基座.对于给定的输入脉冲,存在一个最优的环路长度,可以获得高质量的压缩脉冲.通过适当选择耦合比和环路长度,则可以完全消除脉冲的基座.     

光纤损耗对皮秒脉冲孤子效应压缩的影响

在计及常规光纤损耗的前提下，通过数值求解求解修正的非线性薛定谔方程，全面地计算和分析了损耗对皮秒脉冲在单模光纤中孤子效应压缩过程的影响。结果表明，与不计及损耗时相比，损耗一方面导致脉冲压缩比，压缩后的脉冲峰值功率和脉冲压缩质量的下降，另一方面还导致所选用的最佳光纤度的增加。进一步研究表明，损耗对脉冲压缩的影响程度还与输入脉冲的峰值功率和脉宽有关。     

Coded tissue harmonic imaging with nonlinear chirp signals

Coded tissue harmonic imaging with pulse inversion (CTHI-PI) based on a linear chirp signal can improve the signal-to-noise ratio with minimizing the peak range sidelobe level (PRSL), which is the main advantage over CTHI with bandpass filtering (CTHI-BF). However, the CTHI-PI technique could suffer from motion artifacts due to decreasing frame rate caused by two firings of opposite phase signals for each scanline. In this paper, a new CTHI method based on a nonlinear chirp signal (CTHI-NC) is presented, which can improve the separation of fundamental and harmonic components without sacrificing frame rate. The nonlinear chirp signal is designed to minimize the PRSL value by optimizing its frequency sweep rate and time duration. The performance of the CTHI-NC method was evaluated by measuring the PRSL and mainlobe width after compression. From the in vitro experiments, the CTHI-NC provided the PRSL of −40.6 dB and the mainlobe width of 2.1 μs for the transmit quadratic nonlinear chirp signal with the center frequency of 2.1 MHz, the fractional bandwidth at −6 dB of 0.6 and the time duration of 15 μs. These results indicate that the proposed method could be used for improving frame rates in CTHI while providing comparable image quality to CTHI-PI.     

SPM of nonlinear surface plasmon waveguides

Pulse propagation equation of nonlinear dispersion surface plasmon waveguide is educed strictly from wave equation. The nonlinear coefficient is defined and then used to assess and compare the nonlinear characteristic of three popular 1-D surface plasmon waveguides: the single metal–dielectric interface, the metal slab bounded by dielectric and the dielectric slab bounded by metal. SPM (self-phase modulation) of the typical surface plasmon waveguide is predicted and discussed.     

开环系统中灰光伏孤子的时间及演化特性分析

分析了开环系统中一维灰光伏孤子的时间特性.基于与时间相关的演化方程,用数值方法得到了准稳态和稳态的灰孤子解,分析了形成准稳态灰孤子的物理机制.结果显示准稳态灰孤子的宽度是与光强无关的,并且它们的形成时间和孤子的峰值与背景辐射强度比成反比.这些性质与开环系统中的亮、暗孤子的性质很相似.同时采用波传播的数值解法,分析了它们的传播特性,结果显示它们在小于10％的扰动下是相对稳定的.     

Broadband coherent anti-Stokes Raman scattering spectroscopy using soliton pulse trains from a photonic crystal fiber

Pulse trains of fundamental soliton pulses with different center wavelengths and delay times from a photonic crystal fiber were generated and used as Stokes optical pulses in coherent anti-Stokes Raman scattering (CARS) spectroscopy. The pulse trains were created by shaping optical pulses with a pulse shaper and their waveforms were measured by a cross-correlation frequency-resolved optical gating method. By the use of pulse trains, the time required for obtaining broadband CARS signals was reduced to be about one third compared with our previous study without using pulse trains. With this setup, broadband CARS signals between 500 and 3100 cm⁻¹ of a single polystyrene bead sample have been measured and the most of the Raman peaks in this frequency range of samples have been observed clearly.     

Optical Pulse Compression Schemes That Use Nonlinear Bragg Gratings

Nonlinear optical pulse compression of picosecond pulses typically requires long lengths of optical fiber and multiple components. Periodic structures, such as fiber Bragg gratings, are highly dispersive at wavelengths outside of the photonic bandgap. This implies that such gratings can be used as very short all-fiber compressors. In this paper a number of such compression schemes are reviewed involving uniform and nonuniform fiber Bragg gratings, relying on both soliton and nonsoliton compression principles. Experimental results supporting the corresponding underlying theory are also presented. Finally, an extension of one of the compression schemes is shown, which allows the generation of adjustable high-repetition rate soliton trains.     

色散平坦渐减光纤中抽运残余成分的抑制与平坦超连续谱的产生

基于广义非线性薛定谔方程,通过数值模拟研究了色散平坦渐减光纤中抽运残余成分的抑制.研究结果表明:超连续谱的形状由输入孤子阶数N、归一化二次色散系数△2和归一化有效光纤长度ξ0决定.对于给定N和给定△2值的抽运脉冲,超连续谱的形状依赖于ξ0.通过合适地选取ξ0,抽运残余成分可以被有效地抑制并获光谱平坦度令人满意的超连续谱.为了获得参量ξ0的最优值,引入了S因子评价超连续谱的波动.S因子值越小,所产生的超连续谱越平坦.保持N和△2不变,计算了ξ0取不同值时,所产生的超连续谱的S因子.当S因子达到最小值时,抽运残余成分被抑制到最大限度,并获得最平坦的超连续谱,相应的ξ0值即为归一化参量ξ0的最优值.计算了N在1.0～2.2范围内,ξ0的最优值.结果显示当N降低时,ξ0的最优值增大.为产生具有弱残余抽运成分的超连续谱,抽运脉冲采用低阶孤子要优于高阶孤子.     

Quinary excitation method for pulse compression ultrasound measurements

A novel switched excitation method for linear frequency modulated excitation of ultrasonic transducers in pulse compression systems is presented that is simple to realise, yet provides reduced signal sidelobes at the output of the matched filter compared to bipolar pseudo-chirp excitation. Pulse compression signal sidelobes are reduced through the use of simple amplitude tapering at the beginning and end of the excitation duration. Amplitude tapering using switched excitation is realised through the use of intermediate voltage switching levels, half that of the main excitation voltages. In total five excitation voltages are used creating a quinary excitation system. The absence of analogue signal generation and power amplifiers renders the excitation method attractive for applications with requirements such as a high channel count or low cost per channel. A systematic study of switched linear frequency modulated excitation methods with simulated and laboratory based experimental verification is presented for 2.25 MHz non-destructive testing immersion transducers. The signal to sidelobe noise level of compressed waveforms generated using quinary and bipolar pseudo-chirp excitation are investigated for transmission through a 0.5 m water and kaolin slurry channel. Quinary linear frequency modulated excitation consistently reduces signal sidelobe power compared to bipolar excitation methods. Experimental results for transmission between two 2.25 MHz transducers separated by a 0.5 m channel of water and 5% kaolin suspension shows improvements in signal to sidelobe noise power in the order of 7–8 dB. The reported quinary switched method for linear frequency modulated excitation provides improved performance compared to pseudo-chirp excitation without the need for high performance excitation amplifiers.     

Nonlinear propagation model for ultrasound hydrophones calibration in the frequency range up to 100 MHz

To facilitate the implementation and verification of the new ultrasound hydrophone calibration techniques described in the companion paper (somewhere in this issue) a nonlinear propagation model was developed. A brief outline of the theoretical considerations is presented and the model's advantages and disadvantages are discussed. The results of simulations yielding spatial and temporal acoustic pressure amplitude are also presented and compared with those obtained using KZK and Field II models. Excellent agreement between all models is evidenced. The applicability of the model in discrete wideband calibration of hydrophones is documented in the companion paper somewhere in this volume.     

一种改善损耗光纤中皮秒脉冲孤子效应压缩效果的方法

以常规光纤中的皮秒脉冲孤子效应压缩过程为基础,研究了在有无损耗的光纤中初始啁啾对脉冲压缩的影响。研究发现,在损耗光纤中引入初始啁啾能够抵消光纤损耗对孤子效应压缩的负面影响,从而大大改善了脉冲压缩的效果。如果所选取的啁啾值适当,则可以几乎完全抵消光纤损耗的作用,从而使光脉冲呈现出如同在无损耗的光纤中传输时一样。