Study on plane grating spectral imaging system with smile and keystone eliminated

Publication in Journal of Optical Technology

For Russian citation (Opticheskii Zhurnal):

Zhang X.L., Li X.J., Tang X.Y. Исследование спектральной изображающей системы на основе плоской дифракционной решетки с устраненными кривизной и трапецивидностью формируемых спектральных линий. Study on plane grating spectral imaging system with smile and keystone eliminated [на англ. яз.] // Оптический журнал. 2022. Т. 89. № 5. С. 21–30. http://doi.org/10.17586/1023-5086-2022-89-05-21-30

Zhang X.L., Li X.J., Tang X.Y. Исследование спектральной изображающей системы на основе плоской дифракционной решетки с устраненными кривизной и трапецивидностью формируемых спектральных линий. Study on plane grating spectral imaging system with smile and keystone eliminated [in English] // Opticheskii Zhurnal. 2022. V. 89. № 5. P. 21–30. http://doi.org/10.17586/1023-5086-2022-89-05-21-30

For citation (Journal of Optical Technology):

Xiaolong Zhang, Xiujuan Li, and Xiaoyan Tang, "Study on a plane grating spectral imaging system with smile and keystone eliminated," Journal of Optical Technology. 89(5), 262-268 (2022). https://doi.org/10.1364/JOT.89.000262

Abstract:

Subject of Study. For grating-based imaging spectrometer, the method using off-axis lens to correct the smile and keystone is proposed and verified by simulation. Method. In the set coordinate system, the ratios of direction cosines of the refractive rays along the y-axis and z-axis are studied using the spatial ray tracing method. And on this basis, the smile characteristics of single refraction sphere and off-axis lens have been analyzed. In order to verify the theory, the visible spectral imaging system without off-axis lens and that with off-axis lens have been optimized respectively. Main Results. The criterion of smile sign has been given and discussed. For the spectral imaging system without off-axis lens, good image quality and high spectral resolution have been achieved, which is less than 1nm. The modulation transfer functions at the wavelengths of 400, 600 and 800 nm are greater than 0.5 at the Nyquist frequency. However, the maximums of the smile and keystone are greater than 0.07 and 0.06 mm respectively, which are several times than the unit size. For the spectral imaging system with off-axis lens, the image quality is basically the same as the previous one. The obvious differences between the two systems are the smile and keystone. For the latter, the maximums of smile and keystone at all working wavelengths in all fields are close to 6.24 and 6.40 μm, which
are less than half of the unit size. Practical significance. The smile and keystone caused by plane grating can be corrected by off-axis lens in plane grating-based imaging spectrometer, which provides a universal method for the design of spectral imaging system.

Keywords:

spectral imaging system, smile, keystone, off-axis lens, plane grating

Acknowledgements:

This research was supported by the Science Foundation of Henan Department of Education (Grant No. 22A416009), the Key Scientific and Technological Project of Henan Province (Grant No. 212102210115), the Doctoral Scientific Research Foundation of Nanyang Institute of Technology (Grant No. 510119), and the Interdisciplinary Sciences Project, Nanyang Institute of Technology.

OCIS codes: 220.2740, 110.4234, 050.1950

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