Thermal optical path difference analysis of off-axis lens ray trace foot-print at Cassegrain telescope correct lens assembly

Hsu, Ming-Ying; Lin, Yung-Hsiang; Chan, Chia-Yen; Lin, Wei-Cheng; Chan, Shenq-Tsong; Huang, Ting-Ming

doi:10.1117/12.928833

Cited by 1 publication

(2 citation statements)

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“…37 terms of Zernike polynomial is utilized in the simulation. (11) , where N is the number of Zernike coefficients in the series, A i is the coefficient of Zernike Standard polynomial, ρ is the normalized radial ray coordinate, φ is the angular ray coordinate, r is the radial ray coordinate, Z is the sag of the surface, c is the curvature of the surface, and k is the conic constant.…”

Section: Verification Of the Interferometer Modementioning

confidence: 99%

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Design and tolerance analysis of a transmission sphere by interferometer model

Peng¹,

Ho²,

Lin³

et al. 2015

SPIE Proceedings

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The design of a 6-in, f/2.2 transmission sphere for Fizeau interferometry is presented in this paper. To predict the actual performance during design phase, we build an interferometer model combined with tolerance analysis in Zemax. Evaluating focus imaging is not enough for a double pass optical system. Thus, we study the interferometer model that includes system error, wavefronts reflected from reference surface and tested surface. Firstly, we generate a deformation map of the tested surface. Because of multiple configurations in Zemax, we can get the test wavefront and the reference wavefront reflected from the tested surface and the reference surface of transmission sphere respectively. According to the theory of interferometry, we subtract both wavefronts to acquire the phase of tested surface. Zernike polynomial is applied to transfer the map from phase to sag and to remove piston, tilt and power. The restored map is the same as original map; because of no system error exists. Secondly, perturbed tolerances including fabrication of lenses and assembly are considered. The system error occurs because the test and reference beam are no longer common path perfectly. The restored map is inaccurate while the system error is added. Although the system error can be subtracted by calibration, it should be still controlled within a small range to avoid calibration error. Generally the reference wavefront error including the system error and the irregularity of the reference surface of 6-in transmission sphere is measured within peak-to-valley (PV) 0.1 λ (λ=0.6328 um), which is not easy to approach. Consequently, it is necessary to predict the value of system error before manufacture. Finally, a prototype is developed and tested by a reference surface with PV 0.1 λ irregularity.

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Section: Verification Of the Interferometer Modementioning

confidence: 99%

“…This formula combines the conic surface with Zernike polynomial together, as shown in Eq. (11). 37 terms of Zernike polynomial is utilized in the simulation.…”

Section: Verification Of the Interferometer Modementioning

confidence: 99%