Resonance offset tailored composite pulses

We describe novel composite pulse sequences which act as general rotors and thus are particularly suitable for nuclear magnetic resonance quantum computation. The resonance offset tailoring to enhance nutations approach permits perfect compensation of off-resonance errors at two selected frequencies placed symmetrically around the frequency of the radiofrequency source.     

Composite Pulse NMR with Phase Distortion

A phase-distorting composite pulse NMR method is described. In the calculation, it only uses function Z22, representing the Wigner rotation matrix elements. The optimum composite pulse sequence parameters were obtained by minimizing the pulse angles and phase distortion effects, this new route could greatly save computing time and efforts. Moreover, the experimental data are consistent with the theoretical results, and it is compared with other existing composite pulse sequences.     

Measurement of like-spin dipole couplings

The application of modified Carr-Purcell-type pulse sequences to the measurement of like-spin dipole couplings in solids is reported here. The Meiboom-Gill sequence is shown experimentally to be very sensitive to nutation angle errors. Previously reported modifications of the sequence are significantly more tolerant of pulse errors. Experimental results are reported for two different d₄-benzenes.     

组合脉冲宽带去耦

本文在理论分析的基础上,提出了一新的用于异核宽带去耦的组合脉冲:90°(X)150°(Y)70°(-Y)150°(Y)90°(X)。理论和实验表明,由此组合脉冲组成的去耦序列:NEW-16、NEW-32,去耦谱宽比常用的去耦序列:MLEV-16、WALTZ-16的去耦谱宽增加约30%。本文还提出了一种电路,使现已提出的大多数组合脉冲去耦序列,能在Varian XL-200 NMB谱仪上实现。     

固态NMR中自旋Ⅰ=1体系的魔术回波序列

虽然组合脉冲固体回波大大地减轻了有限脉冲宽度的影响,但是它们并没有完全消除有限脉冲宽度带来的失真,而且产生另一种失真,即所谓的位相失真。本文分析了组合脉冲序列,将它用来构成魔术回波序列,这样就能消除位相失真。理论和实验的结果都证明,自旋I=1的组合脉冲魔术回波在线型的测量上优于组合脉冲固体回波序列,基本上解决了²D核核磁共振中有限脉冲宽度带来的难题。     

A new decoupling method for accurate quantification of polyethylene copolymer composition and triad sequence distribution with 13C NMR

(13)C NMR is a powerful analytical tool for characterizing polyethylene copolymer composition and sequence distribution. Accurate characterization of the composition and sequence distribution is critical for researchers in industry and academia. Some common composite pulse decoupling (CPD) sequences used in polyethylene copolymer (13)C NMR can lead to artifacts such as modulations of the decoupled (13)C NMR signals (decoupling sidebands) resulting in systematic errors in quantitative analysis. A new CPD method was developed, which suppresses decoupling sidebands below the limit of detection (less than 1:40,000 compared to the intensity of the decoupled signal). This new CPD sequence consists of an improved Waltz-16 CPD, implemented as a bilevel method. Compared with other conventional CPD programs this new decoupling method produced the cleanest (13)C NMR spectra for polyethylene copolymer composition and triad sequence distribution analyses.     

Numerical Design of Composite Pulse NMR

Abstract

This paper describes the method of a phase-alternating composite π pulse sequences, in which the subroutines are programed instead of the previously reported “IMSL” library DUNSJ to solve the non-linear least square problems, being used to minimize the pulse angles with respect to resonance off-set. The main program and subroutines were carried out on a personal computer. It is found that the results from the new program were in agreement with that reported in the reference being obtained from IBM/3600 computer and the present method is more effeciant than other existing pulse sequences.     

Fault-tolerant quantum dynamical decoupling

Dynamical decoupling pulse sequences have been used to extend coherence times in quantum systems ever since the discovery of the spin-echo effect. Here we introduce a method of recursively concatenated dynamical decoupling pulses, designed to overcome both decoherence and operational errors. This is important for coherent control of quantum systems such as quantum computers. For bounded-strength, non-Markovian environments, such as for the spin-bath that arises in electron- and nuclear-spin based solid-state quantum computer proposals, we show that it is strictly advantageous to use concatenated pulses, as opposed to standard periodic dynamical decoupling pulse sequences. Namely, the concatenated scheme is both fault tolerant and superpolynomially more efficient, at equal cost. We derive a condition on the pulse noise level below which concatenation is guaranteed to reduce decoherence.     

Two-frequency composite pulses in NQR

The application of multiple-pulse sequences consisting of two-transition composite pulses for remote nuclear quadrupole resonance detection of explosives and narcotics is discussed. The pulse sequence for obtaining these pulses is described and it is shown that these pulses are equivalent to the pulse applied at the third (nonirradiated) transition. The loss of the signal intensity in this case is absent.     

Effects of experimental imperfections on a spin counting experiment

Spin counting NMR is an experimental technique that allows a determination of the size and time evolution of networks of dipolar coupled nuclear spins. This work reports on an average Hamiltonian treatment of two spin counting sequences and compares the efficiency of the two cycles in the presence of flip errors, RF inhomogeneity, phase transients, phase errors, and offset interactions commonly present in NMR experiments. Simulations on small quantum systems performed using the two cycles reveal the effects of pulse imperfections on the resulting multiple quantum spectra, in qualitative agreement with the average Hamiltonian calculations. Experimental results on adamantane are presented, demonstrating differences in the two sequences in the presence of pulse errors.     

基于远场的拼接光栅压缩池的设计

 利用傅里叶光学方法得到了失调拼接光栅压缩池输出光束的远场振幅表达式,建立了分析拼接光栅的各种误差的理论模型,得到了拼接误差对脉冲的影响是附加相位延迟和角度偏转。在要求远场的一倍衍射极限区域的积分能量分布达到理想情况下的90％的条件下,对于含有口径为40 cm、脉宽为0.1~10 ps脉冲的系统进行分析并分别得到了各种误差的容限。     

Analysis of effect of excitation pulse characteristics on numerical simulation of reverse saturable absorption

We present the results of analysis of rate equations for reverse saturable absorption (RSA) process to understand the applicability and probable errors in using only time dependence of the excitation pulse as against both space and time dependence in numerical simulations of rate equations. We have considered a three-level approximation of the five-level rate equations under nano-second laser pulse excitations. The population density, nonlinear absorption and transmission have been calculated and compared for different approximations and for different excitation pulse spatial shapes. We show that the neglect of spatial characteristics of the excitation pulses in the rate equation analysis can lead to considerable errors in the numerical simulations of RSA in case of excitation fluences below the fluence for saturation of transmission.     

Fast T2-weighted MR imaging: impact of variation in pulse sequence parameters on image quality and artifacts

The purpose of this study was to quantitatively evaluate in a phantom model the practical impact of alteration of key imaging parameters on image quality and artifacts for the most commonly used fast T(2)-weighted MR sequences. These include fast spin-echo (FSE), single shot fast spin-echo (SSFSE), and spin-echo echo-planar imaging (EPI) pulse sequences. We developed a composite phantom with different T1 and T2 values, which was evaluated while stationary as well as during periodic motion. Experiments involved controlled variations in key parameters including effective TE, TR, echo spacing (ESP), receive bandwidth (BW), echo train length (ETL), and shot number (SN). Quantitative analysis consisted of signal-to-noise ratio (SNR), image nonuniformity, full-width-at-half-maximum (i.e., blurring or geometric distortion) and ghosting ratio. Among the fast T(2)-weighted sequences, EPI was most sensitive to alterations in imaging parameters. Among imaging parameters that we tested, effective TE, ETL, and shot number most prominently affected image quality and artifacts. Short T(2) objects were more sensitive to alterations in imaging parameters in terms of image quality and artifacts. Optimal clinical application of these fast T(2)-weighted imaging pulse sequences requires careful attention to selection of imaging parameters.     

Symmetric phase-alternating composite pulses

We derive sequences of new composite pulses that can provide constant rotations of arbitrary flip angle in the presence of large resonance offset effects. These symmetric sequences use only 180° phase shifts, and have the same symmetry properties as a single radiofrequency pulse. For two-level systems, these composite pulses behave like ideal single rf pulses, making them of potential use in a wide variety of experimental situations.     

Compensation for pulse imperfections in rotational-echo double-resonance NMR by composite pulses and EXORCYCLE

We describe a simple method to compensate for pulse-angle errors in rotational-echo double resonance (REDOR) experiments for determining heteronuclear distances in solids. By using composite 180 degrees pulses on the unobserved dephasing spin and EXORCYCLE for the single pi pulse on the observed channel, the REDOR curve becomes much less sensitive to pulse-angle errors. Both improvements are demonstrated by experiments on the model compound, (15)N, (13)Calpha -labeled N-t-BOC-glycine, and are confirmed by numerical simulations. The advantage of EXORCYCLE is also shown analytically using the product operator formalism. The proposed simple schemes compensate for unavoidable pulse-angle errors that arise, for example, from radiofrequency field inhomogeneity. They also make REDOR experiments more accurate and robust for low-sensitivity samples where direct pulse-length calibration is difficult.     

Fast multi-planar gradient echo MR imaging: impact of variation in pulse sequence parameters on image quality and artifacts

The purpose of this investigation was to quantitatively evaluate the practical impact of alteration of key imaging parameters on image quality and artifacts in fast multi-planar gradient echo (GRE) pulse sequences. These include multi-planar GRASS (MPGR) and fast multi-planar spoiled GRASS (FMPSPGR). We developed a composite phantom with different T(1) and T(2) values comprising the range of common biological tissues, which was also subjected to periodic motion in order to evaluate motion effects. Magnetic resonance imaging was performed on a GE Signa 1.5-T system. Experimental variations in key parameters included excitation flip angle (FL), echo time (TE), repetition time (TR), and receive bandwidth (BW). Quantitative analysis consisted of signal-to-noise-ratio (SNR) and contrast (CN), image nonuniformity (NU), full-width-at-half-maximum (FWHM) (i.e., blurring or geometric distortion), and ghosting ratio (GR). We found that flip angle, TE, and TR play particularly critical roles in determining image signal, homogeneity, and ghosting artifact with these sequences. Optimum clinical application of these pulse sequences requires careful attention to these imaging parameters and to their complex interactions.     

Analysis of an ultrasonic receiving array with strip-type piezotransducers.

A receiving array has been developed and investigated which consists of an ultrasonic scanner with composite strip-type piezoceramic elements, which serve simultaneously both as electroacoustic transducers and also as delay lines in a system for processing received signals operating in the megacycle frequency range. The frequency and pulse responses are considered. Properties of the directional pulse patterns are examined in the case of additive and multiplicative processing of the signals. This receiving array may be used for ultrasonic medical diagnostic devices and for non-destructive testing.     

Investigation of the effect of a variety of pulse errors on spin I=1 quadrupolar alignment echo spectroscopy

We report on an analysis of a well known three-pulse sequence for generating and detecting spin I=1 quadrupolar order when various pulse errors are taken into account. In the situation of a single quadrupolar frequency, such as the case found in a single crystal, we studied the potential leakage of single and/or double quantum coherence when a pulse flip error, finite pulse width effect, RF transient or a resonance offset is present. Our analysis demonstrates that the four-step phase cycling scheme studied is robust in suppressing unwanted double and single quantum coherence as well as Zeeman order that arise from the experimental artifacts, allowing for an unbiased measurement of the quadrupolar alignment relaxation time, T(1Q). This work also reports on distortions in quadrupolar alignment echo spectra in the presence of experimental artifacts in the situation of a powdered sample, by simulation. Using our simulation tool, it is demonstrated that the spectral distortions associated with the pulse artifacts may be minimized, to some extent, by optimally choosing the time between the first two pulses. We highlight experimental results acquired on perdeuterated hexamethylbenzene and polyethylene that demonstrate the efficacy of the phase cycling scheme for suppressing unwanted quantum coherence when measuring T(1Q). It is suggested that one employ two separate pulse sequences when measuring T(1Q) to properly analyze the short time behavior of quadrupolar alignment relaxation data.