• Title/Summary/Keyword: conic

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A Study for Non-paraxial Diffraction Caused by Curved Principal Planes (주요면의 만곡에 따른 비근축 회절에 대한 연구)

  • Lee, Jong Ung
    • Korean Journal of Optics and Photonics
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    • v.23 no.1
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    • pp.1-5
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    • 2012
  • According to the paraxial diffraction theory, diffractions of optical systems which have the same wavelength and numerical aperture are always the same, independent of lateral magnification. But the diffractions for optical systems with different magnifications are varied due to the non-paraxial diffraction effect on the imaging of high NA optics. In this study, the non-paraxial diffraction effect is interpreted as a phenomena caused by curved principal planes. Pupil functions and modulation transfer functions of aplanatic conic mirrors are examined as a function of lateral magnification.

WEIERSTRASS SEMIGROUPS AT PAIRS OF NON-WEIERSTRASS POINTS ON A SMOOTH PLANE CURVE OF DEGREE 5

  • Cheon, Eun Ju;Kim, Seon Jeong
    • The Pure and Applied Mathematics
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    • v.27 no.4
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    • pp.251-267
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    • 2020
  • We classify all semigroups each of which arises as a Weierstrass semigroup at a pair of non-Weierstrass points on a smooth plane curve of degree 5. First we find the candidates of semigroups by computing the dimensions of linear series on the curve. Then, by constructing examples of smooth plane curves of degree 5, we prove that each of the candidates is actually a Weierstrass semigroup at some pair of points on the curve. We need to study the systems of quadratic curves, which cut out the canonical series on the plane curve of degree 5.

A method to extract the aspherical surface equation from the unknown ophthalmic lens (형상 분석에 의한 안경렌즈의 비구면 계수 추출 방법)

  • 이호철;이남영;김건희;송창규
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.430-433
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    • 2004
  • The ophthalmic lens manufacturing processes need to extract the aspherical surface equation from the unknown surface since its real profile can be adjusted by the process variables to make the ideal curve without the optical aberration. This paper presents a procedure to get the aspherical surface equation of an aspherical ophthalmic lens. Aspherical form generally consists of the Schulz formula to describe its profile. Therefore, the base curvature, conic constant, and high-order polynomial coefficient should be set to the original design equation. To find an estimated aspherical profile, firstly lens profile is measured by a contact profiler, which has a sub-micrometer measurement resolution. A mathematical tool is based on the minimization of the error function to get the estimated aspherical surface equation from the scanned aspherical profile. Error minimization step uses the Nelder-Mead simplex (direct search) method. The result of the refractive power measurement is compared with the curvature distribution on the estimated aspherical surface equation

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Design and fabrication of 2-DOF scanning mirror with Polydimethylsiloxane sloped electrode (폴리디메틸실록산으로 제작된 경사 전극을 가진 2축 구동 스캐닝 미러의 설계 및 제작)

  • Jin, J.Y.;Park, J.H.;Yoo, B.W.;Jang, Yun-Ho;Park, I.H.;Kim, Y.K.
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.1499_1500
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    • 2009
  • In this paper, we present a simple fabrication process for sloped electrodes in 2-degree of fredom(DOF) scanning micromirror employing pholydimethylsiloxane(PDMS). Using this process, quasi-conic figure electrode is successfully fabricated on the substrate. Simulation results show sloped electrodes decrease actuation voltage down to 22% compared with parallel plate type of electrodes having the same electrode area.

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A Studyof Materials and Structural Designs in the Glulam Architecture -Focusing in the Roof Structure- (집성재건축의 자재특성과 구조디자인 연구 -지붕구조를 중심으로-)

  • 김란기
    • Korean Institute of Interior Design Journal
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    • no.13
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    • pp.203-215
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    • 1997
  • This Study typed the roof-design in analysis of structural design of the glulam architecture, developed worldwidely, nowaday. For this, it is studied the characters of glulam as the history of glulam architectures, manufacture of glulam, shapes and section of glulam, fireproof and combution of glulam. And it is studied roof-design according to structural type of glulam roof-structure. Conclusively, types of glulam roof design typied as 1)the Simple Beam str., 2)the Multi-Joints continous Beam str. 3)the Hinge str. 4)the Rahmen str. 5)the Archi str. 6)the Grid str. 7)etc str. (Folded-plate str., Radial str., Cylinder Shell str., Ring Dome str., Geodesic Dome str., Conic Coloid Shell str., H.P Shell str. Cantilever Shell str.)

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Thermo-Recording for The Composite System of (Disk-Like Molecules and Liquid Crystals)

  • Jeong, Hwan-Kyeong
    • Journal of the Korean Applied Science and Technology
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    • v.19 no.3
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    • pp.245-249
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    • 2002
  • A (disk-like liquid crystal (DLC) monomer/liquid crystals(LCs)/chiral dopant/dichroic dye) composite was irradiated with ultraviolet (UV) light. The (DLC network/LCs/chiral dopant/dichroic dye) was formed in the homeotropically oriented smectic A(SA) phase by the surface orientation treatment and the electric field. A focal-conic texture exhibiting strong light scattering appeared in the heat-induced chiral nematic phase(N${\ast}$) of the composite upon heating. Thermo-recording in the composite system has been realized by using a He-Ne laser. The laser irradiation was induced the phase transitions from SA phase to chiral nematic(N${\ast}$) phase in the composite system.

Null lens design for testing of elliptical surface (타원면경 측정 Null 렌즈 설계)

  • 김연수
    • Korean Journal of Optics and Photonics
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    • v.11 no.4
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    • pp.246-249
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    • 2000
  • The null lens is designed for testing the elliptical (conic constant>O) mirror which is the third mirror of the off-axis Three Mirror Anastigmat (TMA) designed as a high resolution camera for remote sensing. The mixed type design is proposed as a new design type which has a small annular flat mirror, but has as twice sensitivity as the autostigmatic type design. It is also shown that the null lens of the Mixed type is better than that of the autostigmatic type in terms of the sensitivity of the wavefront distortion which is given as the magnitude of optical path difference with respect to the change of each surface parameters such as the radius of curvature, thickness of lenses and tested mirror.

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Numerical and experimental investigation of non-stationary processes in the supersonic gas ejector

  • Tsipenko, Anton;Kartovitskiy, Lev;Lee, Ji-Hyung
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2009.11a
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    • pp.469-473
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    • 2009
  • The supersonic gas ejector, as gas dynamic appliance, has been applied for a long time because of simplicity and reliability. However, for the prediction of ejector performances with given parameters, that is, working gas pressure and the nozzle shape, it is necessary to raise accuracy of modelling for properties of ejector gas flow. The purpose of the represented work is to compare one-dimensional modelling and numerical results with experimental results. The ejector with a conic nozzle has been designed and tested (Mach number at the nozzle exit section was 3.31, the nozzle throat diameter - 6 mm). Working gas - nitrogen, was brought from system of gas bottles. Diameter of the mixture chamber at the nozzle exit section was limited by condensation temperature of nitrogen and equaled 20 mm. The one-dimensional theory predicted the minimal starting pressure equaled 8.18 bar (absolute) and 0.051 bar in the vacuum chamber. Accordingly the minimal starting pressure was 9.055 bar and 0.057 in the vacuum chamber bar have been fixed in experiment.

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The design study of optics and opto-mechanics for Lyman-a sun camera of scientific satellite

  • Kim, Kil-Seon;Lee, J.G.;Lee, Y.H.;Rim, Cheon-Seog;Jang, Min-Hwan;Oh, Oh;Park, Jung-Sun;Lee, Woo-Yun;Kim, Geon-Hee
    • Proceedings of the Optical Society of Korea Conference
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    • 2004.07a
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    • pp.64-67
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    • 2004
  • The optics and opto-mechanics are disigned for imaging the sun at Lyman-${\alpha}$ line for scientific satellite. The optics are composed of conic mirrors. In order to block stary light. the new baffle design method is suggested. And we will present the opto-mechanics for this scientific satellite.

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Optical System Design for a Head-up Display Using Aberration Analysis of an Off-axis Two-mirror System

  • Kim, Byung-Hyun;Park, Sung-Chan
    • Journal of the Optical Society of Korea
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    • v.20 no.4
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    • pp.481-487
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    • 2016
  • This study presents a new optical system for a combiner-type head-up display (HUD) with a cylindrical lens as an asymmetrical aberration corrector, instead of a freeform mirror. In the initial design process based on off-axial aberration analysis, we obtain an off-axis two-mirror system corrected for linear astigmatism and spherical aberration by adding a conic secondary mirror to an off-axis paraboloidal mirror. Thus, since the starting optical system for an HUD is corrected for dominant aberrations, it enables us to balance the residual asymmetrical aberrations with a simple optical surface such as a cylinder, not a complex freeform surface. From this design process, an optical system for an HUD having good performance is finally obtained. The size of the virtual image is 10 inches at 2 meters away from a combiner, and the area of the eye box is 130×50 mm2.