## Electromagnetic Analysis and Design in Magnetic Resonance ImagingThis book presents a comprehensive treatment of electromagnetic analysis and design of three critical devices for an MRI system - the magnet, gradient coils, and radiofrequency (RF) coils. Electromagnetic Analysis and Design in Magnetic Resonance Imaging is unique in its detailed examination of the analysis and design of the hardware for an MRI system. It takes an engineering perspective to serve the many scientists and engineers in this rapidly expanding field. Chapters present: With the continued, active development of MRI instrumentation, Electromagnetic Analysis and Design in Magnetic Resonance Imaging presents an excellent, logically organized text - an indispensable resource for engineers, physicists, and graduate students working in the field of MRI. |

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QC762.6.M34 J56 1998

### Contents

Introduction to Magnetic Resonance Imaging | 1 |

References | 36 |

A Divergence Curl Gradient and Laplacian Operations | 64 |

Problems | 74 |

A Modified Bessel Functions | 126 |

References | 133 |

Problems | 202 |

RF Fields in Biological Objects | 211 |

A Bessel Functions | 255 |

B Spherical Bessel Functions | 263 |

About the Software | 273 |

### Common terms and phrases

2-gradient analysis applied associated Legendre polynomial B1 field Bessel functions Bottom-left Bottom-right calculated capacitance capacitors circularly polarized coil pair component consider current distribution cylindrical surface denotes density derivative dielectric electric field end-capped end-ring ENDIF equation FDTD field inhomogeneity Figure finite Fourier transform given in Eq gradient coils highpass highpass birdcage coil homogeneity IEEE illustrated in Fig Jin and Chen Jn(z Larmor frequency linear linearly lowpass birdcage coil Magn Magnetic field A/m Magnetic Resonance Imaging magnetization vector matrix Maxwell coil Maxwell's equations mode mutual inductance NMR imaging nuclear magnetic resonance nuclei obtain open coil precess problem radius region Reproduced from Chen Reproduced from Jin resonant frequency result RF coil RF pulse RF shield rotating SAR W/Kg sequence shield coil shielded birdcage coil shown in Fig slice solution Substituting Eq surface coil surface current Top-left Top-right transverse voltage wires Yn(z z-axis

### Popular passages

Page 209 - An efficient, highly homogeneous radiofrequency coil for whole-body NMR imaging at 1.5 T,

Page xiv - The energy difference between the two states is linearly proportional to the strength of the applied magnetic field. This is known as the Zeeman effect. In thermal equilibrium, the number of nuclei in the higher energy state is slightly less than the number of nuclei in the lower energy state. A nucleus in the higher energy state can fall to the lower energy state by emitting a photon with energy equal to the energy difference between the two states. A nucleus in the lower energy state can jump to...