• Current Optics and Photonics
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• 제7권4호
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• pp.435-442
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• 2023

These days, the size of a reflective telescope has been increasing for astronomical observation. An additional optical system usually assists a large ground telescope for image analysis or the compensation of air turbulence. To guide collimated light to the external optical system through a designated path, a coudé mirror is usually adopted. Including a collimator, a coudé mirror of a ground telescope is affected by gravity, depending on the telescope's pointing direction. The mirror surface is deformed by the weight of the mirror itself and its mount, which deteriorates the optical performance. In this research, we propose an optimization method for the coudé mirror assembly for a 1-m class ground telescope that minimizes the gravitational surface error (SFE). Here the mirror support positions and the sizes of the mount structure are optimized using finite element analysis and the response surface optimization method in both the horizontal and vertical directions, considering the telescope's altitude angle. Throughout the whole design process, the coefficients of the Zernike polynomials are calculated and their amplitude changes are monitored to determine the optimal design parameters. At the same time, the design budgets for the thermal SFE and the mass and size of the mount are reflected in the study.

• Journal of the Optical Society of Korea
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• 제16권3호
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• pp.228-235
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• 2012

It is very important to analyze effectively the tolerance of an optical system with high resolution as the projection lens of photolithography or as the objective lens of a microscope. We would like to find an effective assembly structure and compensators to correct aberrations through global wavefront sensitivity analysis using Zernike polynomial expansion from the field and pupil coordinates rather than from only pupil coordinates. In this paper, we introduce global wavefront coefficients by small perturbations of the optical system, and analyze the optical performance with these coefficients. From this analysis, it is possible to see how we can enlarge the tolerance through the proper assembly structure and compensators.

• Journal of the Optical Society of Korea
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• 제19권6호
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• pp.604-613
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• 2015

An unobstructed off-axis two-mirror system is presented in this paper. First a suitable initial configuration is established based on third-order aberration theory. In order to achieve a wide field of view (FOV) with high image quality , the diffractive mirror is adopted in the two-mirror system to increase the optimization freedom and the aberration relationship between diffractive phase coefficients and Zernike coefficients is derived. Furthermore, a complete comparison design example with a focal length of 1200 mm, F-number of 12, and FOV of 40° × 2° is given to verify the aberration correction ability of the diffractive mirror. The system average wavefront error is 0.007 λ (λ=0.6328 μm) developed from 0.061 λ when the system didn’t adopt the diffractive mirror. In this system the phase modulation function of the diffractive mirror is established as an even function of x, so we could obtain a symmetrical imaging quality about the tangential plane, and the symmetric aberration performance also brings considerable convenience to alignment and testing for the system.

• Nuclear Engineering and Technology
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• 제53권2호
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• pp.430-438
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• 2021

The spatial distribution of neutron flux or reaction rate was calculated by cell or mesh tally in traditional Monte Carlo simulation. However, either cell or mesh tally leads to the increase of memory consumption and simulation time. In this paper, the function expansion tally (FET) method was developed in Reactor Monte Carlo code RMC to solve this problem. The FET method was applied to the tallies of neutron flux distributions of uranium block and PWR fuel rod models. Legendre polynomials were used in the axial direction, while Zernike polynomials were used in the radial direction. The results of flux, calculation time and memory consumption of different expansion orders were investigated, and compared with the mesh tally. Results showed that the continuous distribution of flux can be obtained by FET method. The flux distributions were consistent with that of mesh tally, while the memory consumption and simulation time can be effectively reduced. Finally, the convergence analysis of coefficients of polynomials were performed, and the selection strategy of FET order was proposed based on the statistics uncertainty of the coefficients. The proposed method can help to determine the order of FET, which was meaningful for the efficiency and accuracy of FET method.

• 방송공학회논문지
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• 제17권1호
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• pp.81-94
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• 2012

본 논문에서는 두 영상간의 회전각도를 추정하는 방법들 중에서, 정확도에서 높은 성능을 제공하는 저니키 모멘트의 위상을 이용한 방법들의 회전각도 추정 결과의 정확도를 비교하여 제시하고, 기존의 방법들보다 정확하게 각도를 추정하는 angular radial transform(ART) 계수들의 위상성분을 이용한 회전각도 추정방법을 제안한다. 제안하는 방법은 Revaud가 제안한 저니키 모멘트를 이용한 회전각도 추정 방법[1]을 ART로 확장한 방법이다. ART는 저니키 모멘트에 비해서 회전에 의한 영상의 변화를 보다 효과적으로 서술할 수 있는 기저함수의 생성이 가능하기 때문에 저니키 모멘트보다 두 영상간의 회전각도를 정확히 추정하는 것을 가능하게 한다. MPEG-7 데이터셋을 이용한 실험 결과, 제안하는 방법이 제곱평균제곱근오차(root mean square error) 대 커버리지(coverage)를 기준으로한 성능비교에서 가장 우수한 성능을 보였다.

• 한국광학회지
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• 제9권6호
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• pp.396-402
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• 1998

광학계의 결상성능평가는 optical transfer function(OTF)을 측정하는 것이 표준적인 방법으로 사용되고 있다. 그러나, 대량 생산되는 광학계의 경우에서는 측정의 편리함 때문에 test pattern을 투영하여 contrast를 검사하는 방법도 많이 사용되고 있다. 본 연구에서는 회절결상이론을 사용하여 주기적 line-space pattern에 대한 contrast transfer function(CTF)을 계산하는 프로그램을 개발하고, C­계수와 Zernike 다항식으로 표현되는 3차 파면수차에 의한 광학계의 modulation transfer function (MTF)과 CTF 변화를 비교, 분석하였다.

• 한국안광학회지
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• 제10권4호
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• pp.357-364
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• 2005

본 연구에서는 안광학계의 성능평가 장비 개발을 위한 눈과 같은 광학계의 파면수차를 구현하는 프로그램을 개발하였다. 광학계의 파면수차를 재구성하기 위한 프로그램은 matlab을 사용하였으며, 파면수차 합수는 modal 방법에 의한 저니케 다항식을 사용하였다. 본 연구에서 개발된 파면수차 재구성 프로그램을 검증하기 위해 cooke triplet 광학계의 저니케 계수(n=7)를 code V를 사용하여 계산하였으며, 이 결과를 본 연구에서 개발된 프로그램에 의해 계산된 결과와 비교하였다. 이 때 사용한 저니케 계수는 n=2, 3, 4, 5, 6, 7, 8, 9, 그리고 10인 경우이며, sub-aperture 수는 1,253개이다. 개발된 프로그램의 검증결과 n=4 이상인 경우에는 본래의 파면수차와 거의 일치하였으며, n=7인 경우의 저니케 계수는 code V에서 계산된 저니케 계수와 동일함을 알 수 있었다. 이러한 연구 결과는 적응광학을 사용한 안광학계의 성능평가 장비 개발을 위한 핵심 기술로 사용될 것이다.