Construct freeform surface directly in an initial layout of an off-axis reflective image system by seed curve extension and simulated annealing algorithm

A double seed curve extension (DSCE) method is proposed to design a freeform surface directly in an off-axis reflective imaging system. Compared with the basic seed curve extension (SCE) method, the DSCE can effectively reduce the error of freeform surface construction and improve the imaging quality of the off-axis reflective imaging system. In addition, the method can be employed to design an off-axis reflective imaging system consisting of multiple freeform surfaces with several virtual image points set in advance. In order to verify the DSCE method, three examples are given. One is the off-axis freeform one-mirror system, one is a compact off-axis three-mirror imaging system with two freeform surfaces, and the other is an off-axis reflective system with three freeform surfaces. The modulation transfer function (MTF) of the one-mirror system is greater than 0.9 at 20 lp/mm, which is close to the diffraction limit. The average of the sagittal and tangential MTFs of the second system designed by the SCE and DSCE methods are 0.26 and 0.74 at spatial frequency of 20 lp/mm, respectively. And the MTF of the last system designed by the DSCE method is greater than 0.9 at 20 lp/mm, which is better than that of the SCE method.

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Design of a compact wide-band triple grating imaging spectrometer based on freeform surfaces

Chen,

Wang,

Huo

et al. 2024

Appl. Opt.

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Wide-band, high spectral resolution, and miniaturized imaging spectrometers have important applications. However, the working band, spectral resolution, and volume of the imaging spectrometers are mutually restricted. To solve this problem, we proposed a method in which multiple working bands share the same optical components except gratings, and the working bands switch with the switching of the working gratings. Based on the freeform surfaces characterized by XY polynomials, we designed a compact wide-band triple grating imaging spectrometer through the design ideas of human-computer interaction and iterative optimization. The imaging spectrometer works in the wavelength band of 200nm∼1600nm, covering ultraviolet (UV), visible, and near-infrared light, and it has a compact optical path volume of 24mm×38mm×80mm. Three gratings with 0.0025 mm, 0.005 mm, and 0.01 mm line spacing are used to realize dispersion with high diffraction efficiency in the bands of 200nm∼400nm, 400nm∼800nm, and 800nm∼1600nm, respectively. The UV detector receives imaging light in the UV band (200nm∼400nm), and the visible near-infrared (VNIR) detector receives imaging light in the visible and near-infrared bands (400nm∼1600nm). The design results show that the spectral resolutions of the three bands are 0.4 nm, 0.8 nm, and 1.6 nm, and the spectral smile and keystone distortion are less than 1.4 µm. The design results have engineering application value.

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Construct freeform surface directly in an initial layout of an off-axis reflective image system by seed curve extension and simulated annealing algorithm

Cited by 5 publications

References 26 publications

Fast starting point generation method for unobscured two-mirror imaging systems with large field-of-views

Fast starting point generation method for unobscured two-mirror imaging systems with large field-of-views

Freeform optical surface design in an off-axis reflective imaging system by a double seed curve extension algorithm

Design of a compact wide-band triple grating imaging spectrometer based on freeform surfaces

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