Optimization of a Boundary Element Approach to Electromagnet Design with Application to a Host of Current Problems in Magnetic Resonance Imaging

Optimization of a Boundary Element Approach to Electromagnet Design with Application to a Host of Current Problems in Magnetic Resonance Imaging PDF Author: Chad Tyler Harris
Publisher:
ISBN:
Category :
Languages : en
Pages : 502

Get Book Here

Book Description
Magnetic resonance imaging (MRI) has proven to be a valuable methodological approach in both basic research and clinical practice. However, significant hardware advances are still needed in order to further improve and extend the applications of the technique. The present dissertation predominantly addresses gradient and shim coil design (sub-systems of the MR system). A design study to investigate gradient performance over a set of surface geometries ranging in curvature from planar to a full cylinder using the boundary element (BE) method is presented. The results of this study serve as a guide for future planar and pseudo-planar gradient systems for a range of applications. Additions to the BE method of coil design are developed, including the direct control of the magnetic field uniformity produced by the final electromagnet and the minimum separation between adjacent wires in the final design. A method to simulate induced eddy currents on thin conducting surfaces is presented. The method is used to predict the time-dependent decay of eddy currents induced on a cylindrical copper bore within a 7 T MR system and the induced heating on small conducting structures; both predictions are compared against experiment. Next, the method is extended to predict localized power deposition and the spatial distribution of force due to the Lorentz interaction of the eddy current distribution with the main magnetic field. New methods for the design of actively shielded electromagnets are presented and compared with existing techniques for the case of a whole-body transverse gradient coil. The methods are judged using a variety of shielding performance parameters. A novel approach to eliminate the interactions between the MR gradient system and external, non-MR specific, active devices is presented and its feasibility is discussed. A completely new approach to shimming is presented utilizing a network of current pathways that can be adaptively changed on a subject-by-subject basis and dynamically controlled. The potential benefits of the approach are demonstrated using computer simulations and a prototype coil is constructed and tested as a proof-of-principle.

Optimization of a Boundary Element Approach to Electromagnet Design with Application to a Host of Current Problems in Magnetic Resonance Imaging

Optimization of a Boundary Element Approach to Electromagnet Design with Application to a Host of Current Problems in Magnetic Resonance Imaging PDF Author: Chad Tyler Harris
Publisher:
ISBN:
Category :
Languages : en
Pages : 502

Get Book Here

Book Description
Magnetic resonance imaging (MRI) has proven to be a valuable methodological approach in both basic research and clinical practice. However, significant hardware advances are still needed in order to further improve and extend the applications of the technique. The present dissertation predominantly addresses gradient and shim coil design (sub-systems of the MR system). A design study to investigate gradient performance over a set of surface geometries ranging in curvature from planar to a full cylinder using the boundary element (BE) method is presented. The results of this study serve as a guide for future planar and pseudo-planar gradient systems for a range of applications. Additions to the BE method of coil design are developed, including the direct control of the magnetic field uniformity produced by the final electromagnet and the minimum separation between adjacent wires in the final design. A method to simulate induced eddy currents on thin conducting surfaces is presented. The method is used to predict the time-dependent decay of eddy currents induced on a cylindrical copper bore within a 7 T MR system and the induced heating on small conducting structures; both predictions are compared against experiment. Next, the method is extended to predict localized power deposition and the spatial distribution of force due to the Lorentz interaction of the eddy current distribution with the main magnetic field. New methods for the design of actively shielded electromagnets are presented and compared with existing techniques for the case of a whole-body transverse gradient coil. The methods are judged using a variety of shielding performance parameters. A novel approach to eliminate the interactions between the MR gradient system and external, non-MR specific, active devices is presented and its feasibility is discussed. A completely new approach to shimming is presented utilizing a network of current pathways that can be adaptively changed on a subject-by-subject basis and dynamically controlled. The potential benefits of the approach are demonstrated using computer simulations and a prototype coil is constructed and tested as a proof-of-principle.

Electromagnetic Applications

Electromagnetic Applications PDF Author: Carlos A. Brebbia
Publisher: Springer Science & Business Media
ISBN: 3642836801
Category : Technology & Engineering
Languages : en
Pages : 246

Get Book Here

Book Description
General Applications of BEM to electromagnetic problems are comparatively new although the method is ideally suited to solve these problems, which usually involve unbounded domains. The present volume comprises contributions by eminent researchers working on applications of boundary elements in electromagnetic problems. The volume deals with the solutions of Maxwell's equation for three-dimensional as well as two-dimensional cases. It also discusses combination of BEM with FEM particularly in the case of saturated media. Some chapters specifically deal with the design of electromagnetic devices. The book is essential reading to those engineers and scientists, who are interested in the state of the art for electrical and electromagnetic application of boundary elements. It is also an important reference for those engineers who are working on the design of electromagnetic components many of which can be advantageously carried out using BEM.

Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism

Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism PDF Author: Felix Wolf
Publisher: Springer Nature
ISBN: 3030619397
Category : Technology & Engineering
Languages : en
Pages : 139

Get Book Here

Book Description
This book presents a comprehensive mathematical and computational approach for solving electromagnetic problems of practical relevance, such as electromagnetic scattering and the cavity problems. After an in-depth introduction to the mathematical foundations of isogeometric analysis, which discusses how to conduct higher-order simulations efficiently and without the introduction of geometrical errors, the book proves quasi-optimal approximation properties for all trace spaces of the de Rham sequence, and demonstrates inf-sup stability of the isogeometric discretisation of the electric field integral equation (EFIE). Theoretical properties and algorithms are described in detail. The algorithmic approach is, in turn, validated through a series of numerical experiments aimed at solving a set of electromagnetic scattering problems. In the last part of the book, the boundary element method is combined with a novel eigenvalue solver, a so-called contour integral method. An algorithm is presented, together with a set of successful numerical experiments, showing that the eigenvalue solver benefits from the high orders of convergence offered by the boundary element approach. Last, the resulting software, called BEMBEL (Boundary Element Method Based Engineering Library), is reviewed: the user interface is presented, while the underlying design considerations are explained in detail. Given its scope, this book bridges an important gap between numerical analysis and engineering design of electromagnetic devices.

Electromagnetic Applications

Electromagnetic Applications PDF Author: Carlos A. Brebbia
Publisher: Springer
ISBN: 9783540506072
Category : Mathematics
Languages : en
Pages : 256

Get Book Here

Book Description
General Applications of BEM to electromagnetic problems are comparatively new although the method is ideally suited to solve these problems, which usually involve unbounded domains. The present volume comprises contributions by eminent researchers working on applications of boundary elements in electromagnetic problems. The volume deals with the solutions of Maxwell's equation for three-dimensional as well as two-dimensional cases. It also discusses combination of BEM with FEM particularly in the case of saturated media. Some chapters specifically deal with the design of electromagnetic devices. The book is essential reading to those engineers and scientists, who are interested in the state of the art for electrical and electromagnetic application of boundary elements. It is also an important reference for those engineers who are working on the design of electromagnetic components many of which can be advantageously carried out using BEM.

Computational Electromagnetics Using Boundary Elements

Computational Electromagnetics Using Boundary Elements PDF Author: Jinxing Shen
Publisher: Computational Mechanics
ISBN:
Category : Mathematics
Languages : en
Pages : 272

Get Book Here

Book Description


Optimal Design of the Electromagnetic Devices Using Numerical Methods

Optimal Design of the Electromagnetic Devices Using Numerical Methods PDF Author: Vasile Topa
Publisher: Vub Brussels University Press
ISBN:
Category : Science
Languages : en
Pages : 218

Get Book Here

Book Description


Boundary Element Methods for Electrical Engineers

Boundary Element Methods for Electrical Engineers PDF Author: Dragan Poljak
Publisher: WIT Press
ISBN: 1845640330
Category : Technology & Engineering
Languages : en
Pages : 209

Get Book Here

Book Description
Presents Boundary Element Method (BEM) in a simple fashion in order to help the beginner to understand the very basic principles of the method. This book initially derives BEM for the simplest potential problems, and subsequently builds on these to formulate BEM for a wide range of applications in electromagnetics.

Computational Magnetics

Computational Magnetics PDF Author: J. Sykulski
Publisher: Springer Science & Business Media
ISBN: 9401112789
Category : Technology & Engineering
Languages : en
Pages : 386

Get Book Here

Book Description
This book fills the gap between theory, available computational techniques and engineering practice in the design of electrical and electromechanical machines. The theory underlying all currently recommended computational and experimental methods is covered comprehensively, including field analysis and synthesis, magnetic fields coupled to stress and thermal fields. The book is very practically oriented and includes many examples of actual solutions to real devices.

The Extended Boundary Condition Method Approach for Electromagnetic Field Penetration Problems in Magnetic Resonance Imaging

The Extended Boundary Condition Method Approach for Electromagnetic Field Penetration Problems in Magnetic Resonance Imaging PDF Author: Rafael R. Canales Pastrana
Publisher:
ISBN:
Category : Electromagnetic fields
Languages : en
Pages : 212

Get Book Here

Book Description


Inverse Problems and Optimal Design in Electricity and Magnetism

Inverse Problems and Optimal Design in Electricity and Magnetism PDF Author: Pekka Neittaanmäki
Publisher: Oxford University Press
ISBN: 9780198593836
Category : Language Arts & Disciplines
Languages : en
Pages : 388

Get Book Here

Book Description
The impact of optimization methods in electromagnetism has been much less than in mechanical engineering and particularly the solution of inverse problems in structural mechanics. This book addresses this omission: it will serve as a guide to the theory as well as the computer implementation of solutions. It is self-contained covering all the mathematical theory necessary.