Analytical Approximations of Whispering Gallery Modes in Anisotropic Ellipsoidal Resonators

Figure 3

(Color online) Lateral (a) and top (b) view of the ellipsoidal resonator (blue solid line) and the approximating torus of circular cross section (red shaded circle). The radius of the torus cross section matches the rim radius of the ellipsoid. The external radius of the torus matches the major axes of the ellipsoid (that appear as a circle of radius in the top view), while the internal radius of the torus is such that its circular cross section has a radius of .

(a)

(b)