Reverse engineering of optical resonators: Propose the state, obtain the structure that supports the state

The design of optical resonator structures usually processed by proposing the structure and then through some numerical or experimental process, determining the supported states. This is often a hit and miss approach as the desired properties of the state do not match the application requirements. A numerical design approach is presented in which the input is the desired optical resonator state and the output is the geometrical and material properties of the resonator structure that will support the state. The technique is presented for cylindrically symmetric structures using the Fourier-Bessel numerical mode solver