To obtain high efficiency and high bandwidth grating based on large dispersion, we propose a 2-layer transmission grating with a high-line-density in this paper. A unitary fused-silica grating and a 2- layer grating combined with high and low refractive index dielectric material are designed respectively and their performance are compared briefly. The groove density of the grating is 1624 line/mm. By optimizing the grating parameters, the -1st diffraction efficiencies of the 2-layer transmission grating are both greater than 80% for TE and TM polarized incident lights in a wavelength range from 850nm to 1050nm and it can reach an efficiency of more than 97% for both polarizations at a central wavelength of 900nm when the light is incident from the front of grating. Moreover, we found that when the incident mode is in backside incidence mode, i.e. the light is incident from the back of grating, the -1st diffraction efficiency can reach to the maximum value of 97.9%.
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