Abstract
We propose an optimized method for the inverse design of guided-mode resonance (GMR) filters using one- and two-dimensional (1D and 2D) grating structures. This work for 2D state is based on developing the effective permittivity of 1D grating structures along three orthogonal axes to predict the physical dimensions of the structure, for the first time to our knowledge. Also, we compare three optimization methods to reach the optimized conditions based on the characteristics of multilayer structures. Both the transfer matrix method and rigorous coupled-wave analysis are used to simulate and show the reflection and transmission of the proposed 2D GMR filters. The results show that insensitivity to polarization, the best accuracy in resonance location design, and a high quality factor can be achieved for both the rectangular and cylindrical structures as the ideal 2D GMR filters. Also, the effect of each layer thickness on the resonance location and the full width at half-maximum is illustrated. Finally, we investigate three different reasons for decreasing the FWHM of the output reflection of the GMR filters.
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