I am interested in creating a phased array of spinning magnets. The field from our source drops off as the inverse of distanced cubed, so I have adopted a localized model of the B-field as derived in Jackson. I have solved for each component (x,y) of the field separately and plot the vector field on top of the field magnitude to get a visual representation of the field under varying input parameters (location of dipoles, initial orientation/phase, rotation speed, etc.). Below you will find a few runs of my static solutions as the dipole is rotated as well as a link to a brief explanation of the equation implemented. Single-Source at OriginShown here is the dipole moment (large arrow) and subsequent analytically calculated field strength (color map yellow/blue in background) and vector field (smaller arrows). As the magnet is rotated clockwise, the vector field at any point in space rotates counter-clockwise.
Two-Sources Rotating Out of PhaseMagnitude of the induction field as two dipoles rotate in the same direction but out phase by 90 degrees. Vector direction not shown. 4 Sources Rotating in PhaseIn this figure, 4 sources of equal strength are rotated in phase. The field strength is shown in color in the background and the subsequent vector field at a single observer is shown as a spinning arrow whose strength (length) increases and decreases with respect to magnitude of the field at a given position.
0 Comments
Leave a Reply. |
AcademicsHere I will share material relating to my work in the classroom, both as a student and instructor. Archives
July 2020
Categories |