A Novel Mathematical Model to Realizing Randomness in Full-Wave Simulations of Regularly Arranged Nanoparticles

In this letter, a mathematical correction factor is introduced to realize randomly distributed spherical nanoparticles embedded in a dielectric. A full-wave electromagnetic analysis is used to model the unit cell structure so as to simulate the Lewin formulation for uniformly distributed particles. The proposed correction factor is needed to predict the randomly distributed particles, eliminating the necessity of simulating large number of particles, which has a significant impact on the structure complexity, computer memory resources, and simulation time.