Magnetic Solenoid with Compound Radius for Field Uniformity
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Solution Overview
Problem
Conventional magnetic solenoids with cylindrical configurations face challenges in generating a substantially uniform magnetic field, particularly near the ends and off-axis points, which is crucial for applications like NMR gyroscopes.
Innovation Solution
A magnetic solenoid design featuring a conductive coil with a radius defined by a compound equation that combines elliptical or circular functions for the central portion and exponential, parabolic, or hyperbolic functions for the ends, ensuring symmetry and uniformity along and off the central axis.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If a cylindrical configuration of the conductive coil is used, then the magnetic solenoid can be manufactured with simple geometry, but the magnetic field uniformity deteriorates near the ends and off-axis points
Solution Approach 1:
The conductive coil is designed with non-uniform turn density along its length, with higher turn density at the ends and lower turn density at the center. This local variation in coil structure compensates for the natural field non-uniformity, creating a substantially uniform magnetic field throughout the inner volume while maintaining manufacturability
Solution Approach 2:
The radius of the conductive coil is varied along its length according to a specific profile that increases at the ends and decreases at the center. This parameter change in the coil geometry transforms the magnetic field distribution from non-uniform (with a cylindrical coil) to substantially uniform throughout the inner volume
2Manufacturing precision
If the magnetic solenoid is designed for high field uniformity throughout the inner volume, then applications like NMR gyroscopes can be supported, but the solenoid size increases
Solution Approach 1:
By concentrating the magnetic field generation capability where it is most needed (through non-uniform turn density), the design achieves high field uniformity in a compact volume, eliminating the need for oversized solenoids that would be required with uniform cylindrical coil designs
Solution Approach 2:
The varying radius profile of the conductive coil optimizes the magnetic field distribution within a smaller overall volume, achieving the required uniformity without increasing solenoid dimensions
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This design achieves magnetic field uniformity of better than five parts per million within a spherical volume, allowing for a significantly smaller solenoid size while maintaining high uniformity, and is applicable in various magnetic field applications.
Implementation Method 1
magnetic solenoids can be implemented to generate a magnetic field for a gyroscope, such as a nuclear magnetic resonance (NMR) gyroscope that is located within the inner volume of the magnetic solenoid, to induce precession of noble gas isotopes
Implementation Method 2
magnetic solenoids can be implemented to generate a magnetic field for a gyroscope, such as a nuclear magnetic resonance (NMR) gyroscope that is located within the inner volume of the magnetic solenoid, to induce precession of noble gas isotopes
Data Source
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AI summary
One embodiment of the invention includes a magnetic solenoid. The magnetic solenoid includes an elongated sidewall that extends between spaced apart ends. The elongated sidewall can surround a central axis that extends longitudinally along the sidewall. The elongated sidewall can have a radius that is defined by a compound equation that varies the radius as a function of position along the central axis.