• 한국광학회:학술대회논문집
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• 한국광학회 2005년도 하계학술발표회
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• pp.240-241
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• 2005

• 한국안광학회지
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• 제14권2호
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• pp.35-39
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• 2009

목적: 본 연구는 각막지형검사기의 각막형상을 이용하여 각막수차를 구현하는 프로그램을 개발하고자 하며, 개발된 프로그램을 이용하여 저니케 다항식(Zernike Polynomial)으로 파면과 각막수차를 구현하고자 한다. 방법: 각막지형검사기인 ORBSCAN의 각막형상 데이터로부터 각막의 형상을 재구성하기 위해 저니케 다항식을 사용하였으며, 이때 동공의 유효구경은 6 mm를 고려하였다. 구현된 각막형상으로부터 광선추적을 사용하여 동일한 광학적 거리의 파면을 구현하는 프로그램을 개발하였으며, 파면으로부터 6차 28항의 저니케 계수로 각막수차를 구현하였다. 결론: 본 연구에서는 각막지형검사기의 각막형상으로부터 각막의 수차와 파면을 구현하는 프로그램을 개발하였으며, 이러한 결과는 각막지형검사기 개발과 콘택트렌즈 및 OK렌즈 처방에 유용하게 적용될 수 있으리라 사료된다.

• 한국광학회:학술대회논문집
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• 한국광학회 2006년도 하계학술발표회 논문집
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• pp.415-416
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• 2006

• Current Optics and Photonics
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• 제7권6호
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• pp.692-700
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• 2023

We present a method for improving the accuracy of the modal wavefront reconstruction in the radial shearing interferometers (RSIs). Our approach involves expanding the reduced radial terms of Zernike polynomials to high-order, which enables more precise reconstruction of the wavefront aberrations with high-spatial frequency. We expanded the reduced polynomials up to infinite order with symbolic variables of the radius, shearing amount, and transformation matrix elements. For the simulation of the modal wavefront reconstruction, we generated a target wavefront subsequently, magnified and measured wavefronts were generated. To validate the effectiveness of the high-order Zernike polynomials, we applied both low- and high-order polynomials to the wavefront reconstruction process. Consequently, the peak-to-valley (PV) and RMS errors notably decreased with values of 0.011λ and 0.001λ, respectively, as the order of the radial Zernike polynomial increased.

• 한국정밀공학회지
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• 제27권2호
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• pp.50-59
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• 2010

In this paper, two kind of free-form progressive addition lenses (PALs) were designed with Zernike polynomial surface and anatomically accurate finite presbyopic schematic eyes which have aspheric cornea, aspheric GRIN crystalline lens, aspheric retina, and Gaussian apodization factor. Geometrical and diffraction MTFs were used for the optimization process in sequence. 5th orders of Zernike polynomials were used for the evaluation of progression zones of the two examples. The target MTF was set as 0.22 at 100 lp/mm which satisfies the standard visual resolution. These examples were fabricated with a CNC diamond turning machine controlled by slow tool servo (STS). After polishing process, the wavefront aberrations were measured with a laser interferometer on the ten test points across the progression zones and then compared with three current commercially available PALs on the optical performance. Astigmatic aberrations of the examples are very lower than the three selected PALs and have more increased stabilized progressive intermediate zones and near zones. It is expected to give better clear and comfortable distance, intermediate and near visions than other conventional PALs and to improve the adaptability of presbyopic patients to PALs.

• 한국광학회지
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• 제31권6호
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• pp.328-333
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• 2020

본 논문에서는 Q-polynomial을 이용한 Korsch 망원경의 비구면 반사경 공차 분석을 진행하였다. 고해상도 인공위성의 비구면 반사경은 고정밀 제작이 요구되어 품질을 평가하기 위한 공차 분석이 중요하다. 따라서 비구면을 각 계수항들이 독립적인 Q-polynomial로 표현하고 Korsch 망원경 광학계의 공차 분석을 진행하였다. 또한 비구면 반사경에 형상 오차를 Zernike fringe sag로 부여하여 공차 분석하고 두 결과를 비교하여 Q-polynomial으로도 공차 분석할 수 있음을 확인하였다.

• Tribology and Lubricants
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• 제16권5호
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• pp.317-323
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• 2000

The film thickness and shape of elastohydrodynamic lubrication is measured by optical interferometer, which is the most precise method for EHL film measurement. However, the interpretation of the image pattern from optical viscometer is not simple for two-dimensional shape. A newly developed method of image processing makes it possible to evaluate the film thickness and shape in every point of contact region with two dimensional aspects. In this study, we captured the film shape of EHL film by the monochromatic incident light and analyzed the film thickness with the image processing method, which uses phase shift method. From the values of intensity in fringes, the qualitative feature of film thickness in the contact area are obtained by using Zernike polynomial

• 한국광학회지
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• 제14권5호
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• pp.535-544
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• 2003

중적외선 파장대역에서 20:1의 줌비를 갖는 줌 광학계의 광학부품 제작 및 조립j조정을 위한 공차분석, 효율적인 광축정렬 로직 확립, 물체의 원$.$근에 따른 초점조절 방안 수립을 위한 민감도 분석을 수행하였다. 민감도 분석에서는 제르니케(Zemike) 폐수를 활용하는 방안을 제시하였으며 Code-V의 매크로 기능을 활용하여 모든 미소변위의 민감도 계수의 특성을 조사하는 방식을 도입하였다. 조사된 민감도 분석 결과를 바탕으로 줌 광학계의 광학부품 제작공차 및 조립공차를 도출하였으며 광축 정렬을 하기 위한 체계적인 정렬 로직을 수립하였다. 또한 광학계의 초점조절 방안 수립을 위한 시뮬레이션 과정에 민감도 분석 결과를 활용하였으며 분석 결과를 토대로 시스템을 단순하면서도 소형화시킬 수 있는 가장 효율적인 초점조절 방안을 수립하였다.

• 천문학회보
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• 제45권1호
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• pp.67.2-67.2
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• 2020

Not only the magnitude of the mirror surface error, the pattern matters as it produces certain aberrations. In particular, the surface error of the freeform mirrors, which are optimized to eliminate specific aberrations, might show much higher sensitivity in optical performance. Therefore, we analyze the mirror surface error with Zernike polynomials with the goal of generating a realistic error surface. We investigate the surface error of the freeform mirror fabricated by diamond turning machine to analyze the realistic tendency of the error. The surface error with 0.22 ㎛ root-mean-square value is fitted to the Zernike terms using the incremental fitting method, which increases the number of the fitting coefficients through steps. Furthermore, optical performance via surface error pattern based on Zernike terms is studied to see the influences of each term. With this study, realistic error surface generation may allow higher accuracy not only for the feasibility test but also for all tests and predictions using optical simulations.

• ETRI Journal
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• 제39권4호
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• pp.480-492
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• 2017

A holographic display based on a viewing window enables the converging of a reconstruction wave into a viewing window by means of an optical system. Accordingly, a user can observe a reconstructed hologram image, even with a small diffraction angle. It is very difficult to manufacture an optical system with no aberrations; thus, it is inevitable that a certain amount of wave aberrations will exist. A viewing-window-based holographic display, therefore, always includes distortions in an image reconstructed from a hologram pattern. Compensating the distortions of a reconstructed image is a very important technical issue because it can dramatically improve the performance when reconstructing a digital three-dimensional content image from a hologram pattern. We therefore propose a method for suppressing image distortion by measuring and compensating the wave aberration calculated from a Zernike polynomial, which can represent arbitrary wave aberrations. Through our experimental configuration using only numerical calculations, our proposed method decreased the reconstructed image distortion by more than 28%.