Conventional silicon optical waveguide can be effectively coupled to plasmonic waveguide, but there is no structure of comparable coupling efficiency, wide optical bandwidth and polarization independence to convert light from silicon waveguide to metal-dielectric-metal (MDM) waveguide. In this paper, we investigate a novel mode converter based on the embedded coding metamaterials to effectively convert the TE/TM mode in a silicon waveguide to the SPPs mode. We use some optimization methods (genetic algorithm, particle swarm optimization, multi-traversal direct-binary search and simulated annealing) in the design of coding metamaterials to improve the performance metrics. In order to obtain better results, we change the value of different parameters under the control of a single variable to study its influence on the structure of the design. The simulation results have been demonstrated numerically that high transmission efficiency is up to 93% and the bandwidth can cover from 1450 nm to 1650 nm, the converter can perform polarization-invariant conversion as well. Compared with the previous researches, we not only propose a high-performance mode converter but also introduce an efficient algorithm for the inverse design of coding metamaterials.
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