• Acta Optica Sinica
  • Vol. 26, Issue 7, 985 (2006)
[in Chinese]1、*, [in Chinese]1, and [in Chinese]2
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
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    [in Chinese], [in Chinese], [in Chinese]. Theoretical Study of Recording Varied Line Spacing Plane Holographic Gratings by Using Auxiliary Gratings[J]. Acta Optica Sinica, 2006, 26(7): 985 Copy Citation Text show less

    Abstract

    Due to the ability of self-focusing and aberration-eliminating, varied line spacing holographic gratings have been the significant elements in high-resolution spectrometers and synchrotron radiation monochromators. Uniform line spacing plane gratings are introduced into recording systems to generate aspheric wavefronts to record varied line spacing plane holographic gratings. Analytical expressions of groove parameters are derived up to the forth order with ray-tracing theory of geometry optics. A numerical ray-tracing algorithm is provided based on Fermat's principle. A varied line spacing holographic grating is designed by applying the derived forth order expressions of grating parameters. Other diffractive light will not disturb the recording process when the recording parameters are properly selected. According to the design example, theoretical groove density parameters are very close to the required value. The truncation error of series expansion is less than 1.5 lines in the recording area through the validation of numerical ray-tracing algorithm. Considering the tolerances in practical fabrication, this mounting is not sensitive to the errors of recording parameters. Design results demonstrate the exactness of analytical expressions, and the superiority of recording optics with auxiliary gratings.
    [in Chinese], [in Chinese], [in Chinese]. Theoretical Study of Recording Varied Line Spacing Plane Holographic Gratings by Using Auxiliary Gratings[J]. Acta Optica Sinica, 2006, 26(7): 985
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