Computationally Efficient Steady-State Solution of the Bloch Equations for Rapid Sinusoidal Scans Based on Fourier Expansion in Harmonics of the Scan Frequency

Mark Tseitlin; Gareth R. Eaton; Sandra S. Eaton

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Computationally Efficient Steady-State Solution of the Bloch Equations for Rapid Sinusoidal Scans Based on Fourier Expansion in Harmonics of the Scan Frequency

机译：基于扫描频率谐波的傅立叶展开的快速正弦扫描Bloch方程的计算有效稳态解

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摘要

A rapid-scan electron paramagnetic resonance has been shown to improve the signal-to-noise ratio relative to conventional continuous wave spectroscopy. Equations are derived for the steady-state solution to the Bloch equations as a Fourier expansion in the harmonics of the scan frequency. This simulation method is about two orders of magnitude faster than time-domain numerical integration.

机译：快速扫描电子顺磁共振已显示出相对于常规连续波光谱法改善了信噪比。可以导出Bloch方程的稳态解的方程，作为扫描频率谐波的傅立叶展开。这种仿真方法比时域数值积分快大约两个数量级。

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《Applied Magnetic Resonance》 |2013年第12期|共7页
作者
Mark Tseitlin; Gareth R. Eaton; Sandra S. Eaton;
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正文语种 eng
中图分类磁性弛豫及共振现象;
关键词
Efficient; Solution; Equations;

机译：高效;解决方案;方程式;

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专利

1. Computationally Efficient Steady-State Solution of the Bloch Equations for Rapid Sinusoidal Scans Based on Fourier Expansion in Harmonics of the Scan Frequency [J] . Mark Tseitlin, Gareth R. Eaton, Sandra S. Eaton Applied Magnetic Resonance . 2013,第12期

机译：基于扫描频率谐波的傅立叶展开的快速正弦扫描Bloch方程的计算有效稳态解
2. Hysteresis modeling with frequency-separation-based Gaussian process and its application to sinusoidal scanning for fast imaging of atomic force microscope [J] . Tao Yi-Dan, Li Han-Xiong, Zhu Li-Min Sensors and Actuators, A. Physical . 2020,第1期

机译：基于分频的高斯工艺的滞后模型及其在原子力显微镜快速成像中的正弦扫描应用
3. Scanning systems of rapid-scanning Fourier spectrometers [J] . V. V. Arkhipov Journal of Optical Technology . 2010,第7期

机译：快速扫描傅立叶光谱仪的扫描系统
4. Rapidly scanning, high resolution Yb fiber based frequency comb-Fourier transform spectrometer [C] . Conference on Lasers and Electro-Optics Europe . 2009

机译：快速扫描，高分辨率YB光纤基耦合傅里叶变换谱仪
5. Development of a Stopped-Flow Ultra-Rapid-Scanning Fourier Transform Infrared Spectrometer and its Application for Kinetic and Mechanistic Studies of Inorganic Compounds. [D] . Reback, Matthew Lloyd. 2010

机译：停止流超快速扫描傅立叶变换红外光谱仪的研制及其在无机化合物动力学和机理研究中的应用。
6. Computationally Efficient Steady-State Solution of the Bloch Equations for Rapid Sinusoidal Scans Based on Fourier Expansion in Harmonics of the Scan Frequency [O] . Mark Tseitlin, Gareth R. Eaton, Sandra S. Eaton -1

机译：基于扫描频率谐波的傅立叶展开的快速正弦扫描Bloch方程的计算有效稳态解
7. Corrections for sinusoidal background and non-orthogonality of signal channels in sinusoidal rapid magnetic field scans [O] . Mark Tseitlin, Deborah G. Mitchell, Sandra S. Eaton, 2012

机译：正弦迅速磁场扫描中信号通道的正弦背景和非正交性的校正
8. TRANSFORMATIONS FOR DIMENSION REDUCTION AND EXPANSION OF THE DISCRETE FOURIER TRANSFORM UNDER SCANNING [R] . Eugene A. Margerum 1974

机译：扫描下离散傅里叶变换的尺寸减小和扩展的变换

Computationally Efficient Steady-State Solution of the Bloch Equations for Rapid Sinusoidal Scans Based on Fourier Expansion in Harmonics of the Scan Frequency

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