System and method for designing electromagnetic navigation antenna assemblies

A non-transitory computer-readable medium storing instructions that, when executed by a processor, cause the processor to perform a method of designing an antenna assembly for radiating an electromagnetic field for electromagnetic navigation, the method comprising:

• computing, relative to a coordinate system of a substrate having a boundary, a plurality of diagonal lines based on a seed rectangle having a plurality of vertices, respectively,
• wherein the plurality of diagonal lines bisect the plurality of vertices of the seed rectangle, respectively, and extend from the plurality of vertices of the seed rectangle, respectively, to the boundary;
• for each of the plurality of diagonal lines:
• determining a plurality of distances between a plurality of adjacent pairs of planar antenna vertices, respectively, to be positioned along the respective diagonal line, wherein the plurality of distances increase in a direction from the respective vertex of the seed rectangle to the boundary, and
• positioning the planar antenna vertices along the respective diagonal line based on the determined plurality of distances;
• and
• generating a planar antenna layout by interconnecting the planar antenna vertices by way of respective straight linear portions to form a plurality of loops sequentially traversing each of the plurality of diagonal lines.