Diffractive optical gratings (DOGs) are designed for implementing beam splitting and wavelength demultiplexing simultaneously by the use of conjugate gradient optimization algorithm. A plane wave with multi-wavelength is demultiplexed and spatial splitled into the predesigned wavelengths and directions by the designed diffractive optical gratings. The numerical results show that the designed multi-functional DOGs can successfully generate desired wavelength at predesigned directions. It indicates that the DOG can be flexibly designed for realizing desired optical function. It is believed that this design can provide a useful information for designing the wavelength division multiplexer and the arrayed waveguide grating in various optical system.
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