Design Optimal Discrete Magnetic Coils with Wolfram Language

Precise magnetic fields are of key importance in a wide array of applications, and are usually generated by complex, spatially varying wire patterns, derived from the discretisation of a continuous current flow over a surface. Complex patterns have drawbacks, however, such as occupying large areas and being challenging to fabricate. An alternative approach to generating high-quality magnetic fields is to optimize multiple sets of simple, discrete coil primitives by spherical harmonic mapping, which are compact and easy to fabricate and repair. This talk will look at the principles behind the optimization process, demonstrating how Wolfram Language’s built-in root-finding and visualization capabilities are used to design and analyze precise magnetic fields. We will look at the CreateCoil paclet, which provides a convenient set of functions for designing optimal loop-, saddle- and ellipse-based coils, and inspecting the magnetic fields they generate.