Abstract: A method for designing an ultrahigh-resolution photonic-crystal superprism, including the following steps: selecting a medium material, and determining a structure type and parameter of a photonic crystal, obtaining the photonic crystal's equifrequency graph, and looking for an auto-collimation area; obtaining the group velocity distribution of points in the equifrequency graph, and looking for a low group velocity area; optimizing the photonic crystal's structure parameter, facilitating the auto-collimation and the low group velocity area in the photonic crystal's equifrequency graph to be overlapped as much as possible, and defining overlapping area as a work area; obtaining an equal incidence-angle line, rotating the photonic crystal to intersect the equal incidence-angle line with the work area, and selecting the appropriate incidence angle in an intersection point to complete the design of the photonic-crystal superprism.

Abstract: A photonic crystal supporting highly frequency-sensitive self-collimation phenomenon, which is formed by at least two kinds of materials, and has a periodic distribution of refractive index, the photonic crystal has straight equi-frequency contours or flat equi-frequency surfaces in a certain band in the first Brillouin zone of wave-vector space, and the frequency-sensitivity of self-collimation is at least 50 times higher than the change rate of curvatures of the equi-frequency contours or the equi-frequency surfaces with frequencies in a vacuum.

Abstract: A method for designing an ultrahigh-resolution photonic-crystal superprism, including the following steps: selecting a medium material, and determining a structure type and parameter of a photonic crystal, obtaining the photonic crystal's equifrequency graph, and looking for an auto-collimation area; obtaining the group velocity distribution of points in the equifrequency graph, and looking for a low group velocity area; optimizing the photonic crystal's structure parameter, facilitating the auto-collimation and the low group velocity area in the photonic crystal's equifrequency graph to be overlapped as much as possible, and defining overlapping area as a work area; obtaining an equal incidence-angle line, rotating the photonic crystal to intersect the equal incidence-angle line with the work area, and selecting the appropriate incidence angle in an intersection point to complete the design of the photonic-crystal superprism.

Abstract: The present invention provides a photonic crystal supporting high frequency sensitivity self-collimation phenomenon and design method and use thereof. The photonic crystal supporting high frequency sensitivity self-collimation phenomenon has a periodic distribution of refractive index formed by at least two kinds of materials; there exists straight equi-frequency contours or flat equi-frequency surfaces in a certain band in a dispersion space of the photonic crystal, and the change rate of curvatures of the equi-frequency contours or the equi-frequency surfaces with frequencies around the frequency of straight equi-frequency contours or flat equi-frequency surfaces is at least increased at least 50 times than the change rate in vacuum. For the photonic crystal of the present invention is used for controlling diffracted intensity of light beam, detecting refractive index and the like.