• Title/Summary/Keyword: RMS 파면 오차

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Testing of a Convex Aspheric Secondary Mirror for the Cassegrain Telescope (카세그레인 망원경의 볼록비구면 반사경 파면오차 측정)

  • Kim, Goeun;Rhee, Hyug-Gyo;Yang, Ho-Soon
    • Korean Journal of Optics and Photonics
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    • v.28 no.6
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    • pp.290-294
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    • 2017
  • The Cassegrain telescope consists of a primary concave mirror and a secondary convex mirror. In the case of a secondary mirror, it is more difficult to test wavefront error than for a primary mirror, because it reflects the entire testing beam, as it is convex in shape. In this paper we tested the wavefront error of a complex aspheric convex secondary mirror by using the Simpson-Oland-Meckel Hindle test. To separate the systematic errors, such as fabrication error and alignment error of a meniscus lens, we adopted the QN absolute test (pixel-based absolute test using the quasi-Newton method) as well. Finally, we compared the measured result with that of an ASI (Aspheric Stitching Interferometer) made by the QED company, which resulted in an rms difference of only 2.5 nm, showing a similar shape of astigmatism aberration.

Measurement of Wavefront Aberrations in Off-Axis Parabolic Mirrors and its Dependence on the Misalignment (레이저 빔의 파면 측정을 통한 비축 포물 거울의 성능 평가 및 정렬 오차 민감도에 관한 연구)

  • Jeong, Tae-Moon;Choi, Il-Woo;Ko, Do-Kyeong;Lee, Jong-Min
    • Korean Journal of Optics and Photonics
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    • v.17 no.3
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    • pp.256-261
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    • 2006
  • Wavefront aberrations of a laser beam that was reflected from an off-axis parabolic (OAP) mirror were measured to evaluate the optical performance of the OAP mirror. For a diamond turned OAP mirror, the root-mean-square (rms) value of higher-order aberrations was only $0.03{\mu}m$ for the laser beam size of about 34 mm. The other OAP mirror which was polished at a domestic company had the rms value of higher-order aberrations of $2.07{\mu}m$ for the same beam size. Although the diamond turned OAP mirror was well fabricated to have a small amount of aberrations, the aberrations were induced by the misalignment of the OAP mirror. Especially, 0 degree astigmatism increased with the sensitivity of $0.372{\mu}m/mrad$ when the OAP mirror was tilted in the tangential plane, which agreed well with the calculated results using a commercial ray tracing software.

Optimal Design of the Flexure Mounts for Satellite Camera by Using Design of Experiments (실험계획법을 이용한 인공위성 주반사경 플렉셔 마운트의 최적 설계)

  • Kim, Hyun-Jung;Seo, Yu-Deok;Youn, Sung-Kie;Lee, Seung-Hoon;Lee, Deog-Gyu;Lee, Eung-Shik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.32 no.8
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    • pp.693-700
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    • 2008
  • The primary mirror system in a satellite camera is an opto-mechanically coupled system for a reason that optical and mechanical behaviors are intricately interactive. In order to enhance the opto-mechanical performance of the primary mirror system, opto-mechanical behaviors should be thoroughly investigated by using various analysis procedures such as elastic, thermo-elastic, optical and eigenvalue analysis. In this paper, optimal design of the bipod flexure mounts for high opto-mechanical performance is performed. Optomechanical performances considered in this paper are RMS wavefront error under the gravity and thermal loading conditions and 1st natural frequency of the mirror system. The procedures of the flexure mounts design based on design of experiments and statistics is as follows. The experiments for opto-mechanical analysis are constructed based on the tables of orthogonal arrays and analysis of each experiment is carried out. In order to deal with the multiple opto-mechanical properties, MADM (Multiple-attribute decision making) is employed. From the analysis results, the critical design variables of the flexure mounts which have dominant influences on opto-mechanical performance are determined through analysis of variance and F-test. The regression model in terms of the critical design variables is constructed based on the response surfaceanalysis. Then the critical design variables are optimized from the regression model by using SQP algorithm. Opto-mechanical performance of the optimal bipod flexure mounts is verified through analysis.

Surface-error Measurement for a Convex Aspheric Mirror Using a Double-stitching Method (이중 정합법을 이용한 볼록비구면 반사경의 형상 오차 측정)

  • Kim, Goeun;Lee, Yun-Woo;Yang, Ho-Soon
    • Korean Journal of Optics and Photonics
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    • v.32 no.6
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    • pp.314-322
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    • 2021
  • A reflecting telescope consists of a concave primary mirror and a convex secondary mirror. The primary mirror is easy to measure, because it converges the beam from an interferometer, while the secondary mirror diverges the beam and so is not easy to measure, even though it is smaller than the primary mirror. In addition, the Korsch-type telescope uses the central area of the secondary mirror, so that the entire area of the secondary mirror needs to be measured, which the classical Hindle test cannot do. In this paper, we propose a double-stitching method that combines two separate area measurements: the annular area, measured using the Hindle stitching method, and the central area, measured using a spherical wave from the interferometer. We test the surface error of a convex asphere that is 202 mm in diameter, with 499 mm for its radius of curvature and -4.613 for its conic constant. The surface error is calculated to be 19.5±1.3 nm rms, which is only 0.7 nm rms different from the commercial stitching interferometer, ASI. Also, the two results show a similar 45° astigmatism aberration. Therefore, our proposed method is found to be valuable for testing the whole area of a convex asphere.

Assembly and Testing of a Visible and Near-infrared Spectrometer with a Shack-Hartmann Wavefront Sensor (샤크-하트만 센서를 이용한 가시광 및 근적외선 분광기 조립 및 평가)

  • Hwang, Sung Lyoung;Lee, Jun Ho;Jeong, Do Hwan;Hong, Jin Suk;Kim, Young Soo;Kim, Yeon Soo;Kim, Hyun Sook
    • Korean Journal of Optics and Photonics
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    • v.28 no.3
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    • pp.108-115
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    • 2017
  • We report the assembly procedure and performance evaluation of a visible and near-infrared spectrometer in the wavelength region of 400-900 nm, which is later to be combined with fore-optics (a telescope) to form a f/2.5 imaging spectrometer with a field of view of ${\pm}7.68^{\circ}$. The detector at the final image plane is a $640{\times}480$ charge-coupled device with a $24{\mu}m$ pixel size. The spectrometer is in an Offner relay configuration consisting of two concentric, spherical mirrors, the secondary of which is replaced by a convex grating mirror. A double-pass test method with an interferometer is often applied in the assembly process of precision optics, but was excluded from our study due to a large residual wavefront error (WFE) in optical design of 210 nm ($0.35{\lambda}$ at 600 nm) root-mean-square (RMS). This results in a single-path test method with a Shack-Hartmann sensor. The final assembly was tested to have a RMS WFE increase of less than 90 nm over the entire field of view, a keystone of 0.08 pixels, a smile of 1.13 pixels and a spectral resolution of 4.32 nm. During the procedure, we confirmed the validity of using a Shack-Hartmann wavefront sensor to monitor alignment in the assembly of an Offner-like spectrometer.

Design and Performance Analysis of an Off-Axis Three-Mirror Telescope for Remote Sensing of Coastal Water (연안 원격탐사를 위한 비축 삼반사경 설계와 성능 분석)

  • Oh, Eunsong;Kang, Hyukmo;Hyun, Sangwon;Kim, Geon-Hee;Park, YoungJe;Choi, Jong-Kuk;Kim, Sug-Whan
    • Korean Journal of Optics and Photonics
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    • v.26 no.3
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    • pp.155-161
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    • 2015
  • We report the design and performance analysis of an off-axis three-mirror telescope as the fore optics for a new hyperspectral sensor aboard a small unmanned aerial vehicle (UAV), for low-altitude coastal remote sensing. The sensor needs to have at least 4 cm of spatial resolution at an operating altitude of 500 m, $4^{\circ}$ field of view (FOV), and a signal to noise ratio (SNR) of 100 at 660 nm. For these performance requirements, the sensor's optical design has an entrance pupil diameter of 70 mm and an F-ratio of 5.0. The fore optics is a three-mirror system, including aspheric primary and secondary mirrors. The optical performance is expected to reach $1/15{\lambda}$ in RMS wavefront error and 0.75 in MTF value at 660 nm. Considering the manufacturing and assembling phase, we determined the alignment compensation due to the tertiary mirror from the sensitivity, and derived the tilt-tolerance range to be 0.17 mrad. The off-axis three-mirror telescope, which has better performance than the fore optics of other hyperspectral sensors and is fitted for a small UAV, will contribute to ocean remote-sensing research.