scholarly journals Macroscopic limit of the kinetic Bloch equation

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Kamel Hamdache ◽  
Djamila Hamroun
Keyword(s):  
Bloch Equation

scholarly journals Model forB1Imaging in MRI Using the Rotating RF Field

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Adnan Trakic ◽  
Jin Jin ◽  
Ewald Weber ◽  
Stuart Crozier
Keyword(s):  
Degrees Of Freedom ◽  
Acoustic Noise ◽  
Bloch Equation ◽  
Gradient Coil ◽  
Imaging Method ◽  
Nonuniform Field ◽  
Rf Coil ◽  
Image Encoding ◽  
Magnetic Resonance Imaging Mri ◽  
Space Requirements

Conventionally, magnetic resonance imaging (MRI) is performed by pulsing gradient coils, which invariably leads to strong acoustic noise, patient safety concerns due to induced currents, and costly power/space requirements. This modeling study investigates a new silent, gradient coil-free MR imaging method, in which a radiofrequency (RF) coil and its nonuniform field (B1+) are mechanically rotated about the patient. The advantage of the rotatingB1+field is that, for the first time, it provides a large number of degrees of freedom to aid a successfulB1+image encoding process. The mathematical modeling was performed using flip angle modulation as part of a finite-difference-based Bloch equation solver. Preliminary results suggest that representative MR images with intensity deviations of <5% from the original image can be obtained using rotating RF field approach. This method may open up new avenues towards anatomical and functional imaging in medicine.

scholarly journals Full analytical solution of the bloch equation when using a hyperbolic-secant driving function

2016 ◽  
Vol 77 (4) ◽  
pp. 1630-1638 ◽  
Author(s):  
Jinjin Zhang ◽  
Michael Garwood ◽  
Jang-Yeon Park
Keyword(s):  
Analytical Solution ◽  
Bloch Equation ◽  
Driving Function

Simple Derivation of the Bloch Equation

1966 ◽  
Vol 34 (12) ◽  
pp. 1164-1168 ◽  
Author(s):  
D. ter Haar
Keyword(s):  
Bloch Equation ◽  
Simple Derivation

Chaos in the fractional order nonlinear Bloch equation with delay

2015 ◽  
Vol 25 (1-3) ◽  
pp. 41-49 ◽  
Author(s):  
Dumitru Baleanu ◽  
Richard L. Magin ◽  
Sachin Bhalekar ◽  
Varsha Daftardar-Gejji
Keyword(s):  
Fractional Order ◽  
Bloch Equation ◽  
Equation With Delay

Intraband Dynamics at the Semiconductor Band Edge: Shortcomings of the Bloch Equation Method

1996 ◽  
Vol 76 (14) ◽  
pp. 2543-2546 ◽  
Author(s):  
V. M. Axt ◽  
G. Bartels ◽  
A. Stahl
Keyword(s):  
Bloch Equation ◽  
Equation Method ◽  
Band Edge

Bloch equation and atom-field entanglement scenario in three-level systems

2011 ◽  
Author(s):  
Surajit Sen ◽  
Mihir Ranjan Nath ◽  
Tushar Kanti Dey ◽  
Gautam Gangopadhyay ◽  
Dipankar Home ◽  
...  
Keyword(s):  
Bloch Equation

Maxwell–Bloch Equation Approach for Describing the Microscopic Dynamics of Quantum-Dot Surface-Emitting Structures

2010 ◽  
Vol 46 (7) ◽  
pp. 1115-1126 ◽  
Author(s):  
Jeong Eun Kim ◽  
Ermin Malic ◽  
Marten Richter ◽  
Alexander Wilms ◽  
Andreas Knorr
Keyword(s):  
Quantum Dot ◽  
Bloch Equation ◽  
Equation Approach ◽  
Microscopic Dynamics
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