Intermediate-frequency error identification of precision optical surface based on the Hilbert spectrum and instantaneous frequency filtering method

Zhiying Ren; Chenghui Gao; Dehui Luo; Bingpan Gao

doi:10.1117/1.OE.57.6.064108

27 June 2018 Intermediate-frequency error identification of precision optical surface based on the Hilbert spectrum and instantaneous frequency filtering method

Zhiying Ren, Chenghui Gao, Dehui Luo, Bingpan Gao

Author Affiliations +

Optical Engineering, Vol. 57, Issue 6, 064108 (June 2018). https://doi.org/10.1117/1.OE.57.6.064108

Abstract

To evaluate the intermediate-frequency error of a precision optical surface, a method for more accurate separation and identification of the intermediate-frequency error is proposed. This method is based on the Hilbert spectrum and the instantaneous frequency separation method. Experimental results show that the intermediate-frequency error spectrum can be obtained using the method of instantaneous frequency separation based on the Hilbert spectrum. This method separates only the intermediate-frequency error component (0.03 mm^− 1 ≤ f ≤ 8.33 mm^− 1). Also, the method accurately identifies the nonqualified component distribution (at sampling points 200, 840, and 1000). Therefore, this algorithm is a useful guide for deterministic processing of optical components.

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Zhiying Ren, Chenghui Gao, Dehui Luo, and Bingpan Gao "Intermediate-frequency error identification of precision optical surface based on the Hilbert spectrum and instantaneous frequency filtering method," Optical Engineering 57(6), 064108 (27 June 2018). https://doi.org/10.1117/1.OE.57.6.064108

Received: 3 February 2018; Accepted: 7 June 2018; Published: 27 June 2018

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KEYWORDS

Precision optics

Optical components

Optical filters

Error analysis

Surface finishing

Adaptive optics

Optical engineering

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