Designing for beam propagation in periodic and nonperiodic photonic nanostructures: extended Hamiltonian method

In this work, we have demonstrated the use of Hamiltonian optics to design and analyze beam propagation in 2-D periodic and nonperiodic photonic nanostructures with slowly varying nonuniformities and also we have extended the Hamiltonian optics method to analyze the width of the beam propagating in these structures. We validated our method with finite difference time domain (FDTD) simulations, and designed a 2-D nonuniform structure that functions as a flat-top frequency demultiplexing device, which steers beams in two different frequency ranges to two different locations.