• The Optical Journal
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• s.150
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• pp.31-41
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• 2014

현재까지 많은 업체에서 사용되는 비구면 표현식의 단점을 해결하여 직관적이며 예측가능한 면을 표현할 수 있는 새로운 비구면 표현식, 일명 Q Polynomials (또는 Forbes Polynomials, Q-type Polynomials)을 소개한다. Q Polynomials은 기존 quadratic polynomial을 이용한 표현식과 달리 서로 영향을 미치지 않는 유일한 함수 Qm를 기본으로 하는 다항식으로 구성되어 있기 때문에 각 계수는 하나의 비구면에 대해 유일한 계수다. 각 항의 함수의 모양이 이미 정해져 있기 때문에 계수들의 크기를 살펴보면 비구면도, 측정 가능성, 가공 및 생산 가능성에 대한 예측이 가능하다. 따라서 비구면 설계 시점에서부터 시험/검사, 생산이 실질적으로 가능한 비구면 광학요소인지가 판정되므로 설계시부터 설계자, 시험/검사자, 생산자 사이의 합의가 이루어지는 것과 같다. 따라서 생산성과 간섭계 측정을 이용한 초정밀 비구면를 제조할 수 있는 결과에 이르게 된다. 이미 도입한 여러 업체에서 긍정적인 결과를 얻고 있다. Q polynomials은 기존에 현업에서 사용되고 있는 광학 설계 프로그램에도 적용되어 사용 가능하다.

• Journal of Korean Ophthalmic Optics Society
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• v.17 no.4
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• pp.469-476
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• 2012

Purpose: The purpose of this study is to investigate the changes of asphericity according to diameter and direction of the cornea. Methods: The changes of asphericity according to diameter and direction of cornea is measured by using Pentacam(Oculus Co., Germany), as targeting 57 adults (average $27.0{\pm}4.8$, 20 men, 37 women) without any ophthalmic diseases, which may be effective in eyesight, and refractive surgery. Results: As diameter increases in every direction based on the corneal vertex, asphericity has attentively increased (p<0.05), and the size of asphericity in each direction from every measured diameter showed as superior > nasal > inferior > temporal. In group comparison by nearsightness and astigmatism level, asphericity measured high when nearsightness and astigmatism levels were higher, and this appears to be statistically attentive.(p<0.05). Conclusions: Asphericity of cornea significantly increased according to increase of diameter of cornea, and as measured figure or increased quantity appeared differently in all directions based on corneal vertex, so it helps to understand shape of cornea, and considered that is the part to be considered during manufacturing and fitting of RGP lenses.

• Journal of Korean Ophthalmic Optics Society
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• v.15 no.4
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• pp.355-360
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• 2010

Purpose: Analysis performance for spectacle lens which sales in domestic market and optimization design a spectacle lens which is corrected aberration. Methods: Measured center thickness, radius and aspherical surface coefficient for spherical and aspherical lenses which were ${\pm}$5.00D. Refractive index for every lens was 1.6 and they came from 4 different companies. I used 3 types of equipment to measure lenses. ID-F150 (Mitutoyo) : Center Thickness, FOCOVISION (SR-2, Automation Robotics) : Radius, PGI 1240S (Taylor Hobson) : Aspherical surface coefficient. Designed a lens which had 27 mm of distance from lens rear surface to center of eye, 4 mm of pupil diameter and small aberration on center vision $30^{\circ}C$. To shorten axial distance compared with the measured lens rise merits for cosmetic. Lens Design tool was CODE V (Optical Research Associates). Results: -5.00D aspherical lens had somewhat high astigmatism and distortion compared with the spherical lens. But it had a merit for cosmetic because of short axial height and decrease edge thickness. Improved a performance of distortion and ascertain merits for cosmetic due to short axial height and decrease edge thickness same as (-) lens in case of +5.00 aspherical lens. Though an optimization process front surface aspherical lens had a good performance for astigmatism and distortion and the merit for beauty compared with measured spherical lens. Conclusions: Design trend for domestic aspherical lens is decrease axial height and thickness to increase a merit for cosmetic not but increase performance of aberration. From design theory for optimization design front surface aspherical spectacle lens which has improved performance of aberration and merit for cosmetic at the same time compared with the measured lens. Expect an improved performance from design back aspherical lens compared with front aspherical lens.

• Bulletin of the Korean Space Science Society
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• 2009.10a
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• pp.33.1-33.1
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• 2009

GMT(Giant Magellan Telescope)는 그레고리안(Gregorian) 방식 망원경이다. 일반적으로 그레고리안 방식은 포물면인 주경과 타원면인 부경으로 구성되어 있으나, GMT의 주경은 비구면계수가 -0.99829인 타원면이다. 부경은 지름 1.063m 7장의 반사경이 3.2m의 부경을 이루며 곡률반경은 4.2058m, 비구면계수는 -0.71087이다. 주경과 부경은 모두 1장의 중앙 반사경과 6장의 비축 반사경으로 이루어져 있다. 따라서 GMT 광학계에서 대구경 비축 비구면 반사경의 가공 및 테스트는 매우 중요하다. 이 발표에서는 GMT 부경을 테스트하기 위하여, 타원면의 기본적인 광학적 특성을 이용한 테스트 방법과 이 방법의 단점을 보완하기 위해 Reference 반사경을 이용하는 방법, 그리고 Null compensator를 이용한 방법 등을 제시한다. Null compensator를 이용한 방법에는 일반적으로 Autostigmatic 방식과 Autocollimation 방식이 있으며 이 발표에서는 이 두 방식을 상호 비교한 연구 결과에 대하여 논의한다.

• Proceedings of the KSME Conference
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• 2003.04a
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• pp.992-997
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• 2003

Aspherical lens design method named ray reverse tracing method is introduced. Differently from the traditional design method, the ray reverse tracing method traces the shape and location of a real object by use of its virtual image. From the result, it was convinced that spherical aberration free aspherical lens could be designed by use of the ray reverse tracing method. Furthermore, it could reduce the degree of dependence of optical characteristics on designer's ability, because deformation terms and optimization can be eliminated, which has been performed in conventional lens design process.

• Proceedings of the Korean Society of Precision Engineering Conference
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• 2003.06a
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• pp.806-809
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• 2003

In this paper, extracting design information from arbitrary aspherical lens shape in reverse engineering is introduced. Deformation terms and sphere data equation with various variables compose asphere equation. Aspherical lens shape is expressed with complicated polynomial expression that includes deformation terms and sphere data. Deformation term and vertex curvature have direct influence on a geometric shape and an optical characteristics of aspherical lens. Hence, extracting these information mean that design information could be derived and analyzed from shape data of arbitrary aspherical lens. Furthermore, sharing designer's experience and knowledge for aspherical lens design could be expected.

• Journal of the Korean Society for Precision Engineering
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• v.22 no.10 s.175
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• pp.144-149
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• 2005

This study presents the method of extracting shape design data on any aspheric lens by reverse engineering. The design formula fur aspheric lenses is needed in almost all of the design, manufacture and measuring processes. The difficulty in designing the lens lies in the fact that it uses a complex formula for the aspheric surface, and many of the preliminary design values must be selected before actually inserting them into the formula. If the values could be extracted from an aspheric lens for which the structural design information is unknown and used in designing other lenses of similar characteristics, the difficulties in designing and measuring aspheric lens could be reduced. Therefore, in this study, the concept of reverse engineering was applied to demonstrate the method of extracting shape design information of aspheric lens from an arbitrary aspheric lens.

• Journal of the Korean Society for Precision Engineering
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• v.20 no.10
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• pp.191-198
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• 2003

In this study, aberration free aspherical lens design method named ray reverse tracing method is introduced. Differently from the traditional design method, the ray reverse tracing method traces the shape and location of a real object by use of its virtual image. From the result, especially spherical aberration free aspherical lens could be designed by use of the ray reverse tracing method. Furthermore, it could reduce the degree of dependence of optical characteristics on designer's ability, because deformation terms and optimization can be eliminated, which has been performed in conventional lens design process.

• Korean Journal of Optics and Photonics
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• v.19 no.1
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• pp.31-35
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• 2008

A rod-type aspheric lens collimator for the optical telecommunication system which shows high coupling efficiency and experiences small coupling loss for misalignment errors is designed. The working distance, thickness, and diameter of the rod-type aspheric lens are determined to be close to those of the GRIN lens collimator in order to replace the GRIN lens with the rod-type aspheric lens. Since the coupling loss mainly originated from the spherical aberration of the lens, the spherical aberration in the rod-type aspheric lens is reduced drastically, and it turns out that the coupling efficiency of the rod-type aspheric lens collimator is higher than that of the available collimators, such as ball lens, GRIN lens, and C-type lens collimators.

• Korean Journal of Optics and Photonics
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• v.31 no.6
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• pp.328-333
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• 2020

In this paper, we study the analysis method for the aspherical tolerance of a Korsch telescope using a Q polynomial. It is important to analyze the tolerances for evaluating quality in high-precision fabrication of aspherical reflectors for high-resolution satellites. Thus we express the aspheric surface in terms of a Q polynomial in which each coefficient term is composed independently, and analyze the tolerance of a Korsch telescope. We also analyze the tolerance using Zernike fringe sag, which expresses the shape error of an aspherical mirror. By comparing the two results, we confirm that the Q-polynomial method can be used to analyze an aspherical mirror.