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Linear decomposition method for approximating arbitrary magnetic field profiles by optimization of discrete
1Global Strategies Group (North America) Inc., Crofton, Maryland 21114, USA. erik.tejero.ctr@nrl.navy.mil
The Review of Scientific Instruments
|April 2, 2009
Summary
This study introduces a new method to precisely control magnetic fields generated by solenoidal electromagnet coil arrays. The technique uses a mathematical basis to determine coil currents, enabling accurate approximation of desired magnetic field profiles.
Area of Science:
- Physics
- Engineering
- Electromagnetism
Background:
- Generating precise magnetic fields is crucial for many scientific and engineering applications.
- Existing methods for controlling magnetic fields from coil arrays can be complex and limited in flexibility.
Purpose of the Study:
- To develop a novel method for approximating arbitrary axial magnetic field profiles using solenoidal electromagnet coil arrays.
- To provide a mathematical framework for determining the necessary coil currents to achieve desired magnetic field distributions.
Main Methods:
- The method utilizes a truncated orthonormal basis to represent individual coil contributions.
- Linear decomposition of an arbitrary profile function is employed to calculate optimal coil currents.
- Mathematical details and a practical example of the method's application are presented.
Main Results:
- The developed method allows for the accurate approximation of complex magnetic field profiles.
- Simulations based on the method show good agreement with magnetic field measurements.
- The approach provides a flexible and effective way to control magnetic fields.
Conclusions:
- The proposed method offers a robust solution for generating arbitrary axial magnetic fields with solenoidal coil arrays.
- This technique has potential applications in areas requiring precise magnetic field control.
- The mathematical framework and validation through simulation and measurement support the method's efficacy.
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