An optical fiber coil including an optical fiber having a first end and a second end, the optical fiber including first, second, third and fourth segments, wherein the first segment is contiguous with the second segment, the second segment is contiguous with the third segment, and the third segment is contiguous with the fourth segment, and plural substantially planar layers stacked along a coil axis, the layers including a first planer layer formed from the first segment, a second planar layer formed from the second segment, a third planar layer formed from the third segment, and a fourth planar layer formed from the fourth segment, wherein the fourth planar layer is positioned between the first planar layer and the second planar layer, and wherein the second planer layer is positioned between the third planer layer and the fourth planar layer.