Inverse design of nanophotonic structures using complementary convex optimization

Fig. 1 shows the result of applying our method to a one-dimensional problem. The algorithm was executed for 100 iterations, which took 3 minutes on a generic desktop computer. The target field, which started as a sinusoid in a Gaussian-envelope, closely matches the field obtained from simulating the dielectric structure using FDTD. Additionally, the values of Y were strictly constrained to be between 1 and 10, which resulted in a nearly binary dielectric structure. This is important, since feasible nanophotonic devices are almost universally binary and discrete in values of ∈