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Related Concept Videos

Magnetic Resonance Imaging01:24

Magnetic Resonance Imaging

Magnetic resonance imaging (MRI) is a noninvasive medical imaging technique based on a phenomenon of nuclear physics discovered in the 1930s, in which matter exposed to magnetic fields and radio waves was found to emit radio signals. In 1970, a physician and researcher named Raymond Damadian noticed that malignant (cancerous) tissue gave off different signals than normal body tissue. He applied for a patent for the first MRI scanning device in clinical use by the early 1980s. The early MRI...
Gradient Fields01:27

Gradient Fields

A gradient field is a vector field derived from a scalar field. A scalar field assigns a single numerical value to every point in space, such as temperature, pressure, or electric potential. The gradient field describes how that value changes from point to point. It gives both the direction of the fastest increase and the rate of change in that direction.For a scalar field f(x, y), the gradient is written as\begin{equation*}\nabla f=\left\langle \jfrac{\partial f}{\partial x},\jfrac{\partial...
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Divergence and Curl of Magnetic Field

The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
Magnetic Field of a Solenoid01:18

Magnetic Field of a Solenoid

A solenoid is a conducting wire coated with an insulating material, wound tightly in the form of a helical coil. The magnetic field due to a solenoid is the vector sum of the magnetic fields due to its individual turns. Therefore, for an ideal solenoid, the magnetic field within the solenoid is directly proportional to the number of turns per unit length and the current. Conversely, the magnetic field outside the solenoid is zero.
Consider a solenoid with 100 turns wrapped around a cylinder of...
Magnetic Field Due To A Thin Straight Wire01:27

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Consider an infinitely long straight wire carrying a current I. The magnetic field at point P at a distance a from the origin can be calculated using the Biot-Savart law.
Magnetic Field Of A Current Loop01:16

Magnetic Field Of A Current Loop

Consider a circular loop with a radius a, that carries a current I. The magnetic field due to the current at an arbitrary point P along the axis of the loop can be calculated using the Biot-Savart law.

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3D gradient coil design for open MRI systems.

Peter T While1, Larry K Forbes, Stuart Crozier

  • 1School of Mathematics & Physics, University of Tasmania, Private Bag 37, Hobart, Tasmania 7001, Australia. pwhile@utas.edu.au

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|September 21, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces an analytic inverse method for designing 3D gradient coils, optimizing coil geometry directly. The method is extended for open MRI systems, revealing optimal coil configurations for shielded and unshielded designs.

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Area of Science:

  • Medical Imaging
  • Electrical Engineering
  • Applied Physics

Background:

  • Traditional gradient coil design relies on predefined surfaces for optimization.
  • Existing methods can be limited in achieving optimal coil performance and geometry.

Purpose of the Study:

  • To present an analytic inverse method for theoretical design of 3D gradient coils.
  • To extend this method for open Magnetic Resonance Imaging (MRI) systems.
  • To determine optimal coil geometries for minimum power consumption and shielding.

Main Methods:

  • Utilizing an analytic inverse method for direct 3D coil geometry determination.
  • Employing Fourier series and Tikhonov regularization for 3D current density solutions.
  • Applying an equi-flux streamline seeding method for discretizing coil windings.

Main Results:

  • Demonstrated a concentration of windings near the imaging region for unshielded coils.
  • Observed looped return path windings away from the imaging region in unshielded designs.
  • Identified biplanar surfaces as the optimal geometry for shielded, minimum power open coils.

Conclusions:

  • The analytic inverse method offers a novel approach to 3D gradient coil design.
  • The study provides insights into optimal coil geometries for open MRI systems.
  • Biplanar surfaces are indicated as a key geometric feature for efficient shielded open gradient coils.