Coherent Ising machine for the reverse design of composite material

We derive the effective dielectric function of composite material by using effective medium theory based on the Maxwell-Dirac correspondence. We relate the polarizability of the inclusion particle to the extinction cross-section solved by the Mie scattering theory. The effective dielectric function we obtained is determined by five parameters: ? (wavelength of light), r (radius of inclusion particle), ? (fill fraction), ?_h (permitivitty of host medium) and ?_i (permitivitty of inclusion medium). By optimizing the above parameters and the thickness of the composite material, we can get reflection, transmission and absorption spectra closely to the target spectra. We propose to run the combinatorial optimization process on a coherent Ising machine. The combinatorial optimization problem is connected to the ground state of Ising model through QUBO (Quadratic Unconstrained Binary Optimization). The reverse design method is useful to discover optimal nanocomposite thin films with desired broadband spectral properties.