scholarly journals THE PERTURBATION SOLUTION OF OPTICAL BLOCH EQUATION WITH RELAXATION TERMS IN SATURATED SPECTROSCOPY

1986 ◽  
Vol 35 (7) ◽  
pp. 855
Author(s):  
WANG QING-JI ◽  
XIE CHUAN
Keyword(s):  
Bloch Equation ◽  
Perturbation Solution ◽  
Optical Bloch Equation

Is the optical Bloch equation violated in Pr3+ : LaF3?

1992 ◽  
Vol 53 (1-6) ◽  
pp. 84-87 ◽  
Author(s):  
T. Muramoto ◽  
Y. Takahashi ◽  
T. Hashi
Keyword(s):  
Bloch Equation ◽  
Optical 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

A perturbation solution for fins with conduction, convection, and radiation interaction

AIAA Journal ◽  
1970 ◽  
Vol 8 (1) ◽  
pp. 168-169 ◽  
Author(s):  
JONAS A. BILENAS ◽  
LATIF M. JIJI
Keyword(s):  
Perturbation Solution
Sign in / Sign up

Export Citation Format

Share Document