• Title/Summary/Keyword: 근축 광학

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Illumination system design for the liquid crystal display projector using fly-eye lenses (Fly-eye lens를 사용하는 액정 projector용 조명 광학계의 설계)

  • 류재명;조재흥;정진호;이종진
    • Korean Journal of Optics and Photonics
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    • v.13 no.3
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    • pp.173-181
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    • 2002
  • The principle of an illumination system including fly-eyes lenses for a liquid crystal display (LCD) projector with 3-panels was presented and its optical system was designed by using the OSLO (premium edition 6.1) optical system design program. Two panels of the illumination system are well aligned for so that the illumination path length is the same, and the third panel has a longer pass length than the others. The two illumination types with the same or different illumination path lengths were derived by using the paraxial ray design method. Refraction powers and positions of each lens were analytically determined by the method, and the damped least square method was utilized to obtain the optimized uniform illumination system.

A Study for an Analytic Conversion between Equivalent Lenses (등가렌즈의 해석적인 변환방법에 대한 연구)

  • Lee, Jong Ung
    • Korean Journal of Optics and Photonics
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    • v.23 no.1
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    • pp.17-22
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    • 2012
  • An equivalent lens is a lens which has the same total power of refraction and the same paraxial imaging characteristics for the marginal rays as another lens, but has a different axial thickness. In this study, an analytic lens conversion from a thick lens to its equivalent lens is investigated, then it is shown that the equivalent lens is a solution of a quadratic equation. Every thick lens corresponds to one of two real roots of this quadratic equation. Therefore, except in the case of a unique solution, the equation has a conjugate solution, the other of the two roots. The conjugate solution has the same axial thickness, power, and paraxial imaging characteristics, but it has different shape and aberration characteristics. The characteristics of an equivalent lens and its conjugate solution are examined by using a sample lens.

Numerical Calculation Method for Paraxial Zoom Loci of Complicated Zoom Lenses with Infinite Object Distance by Using Gaussian Bracket Method (가우스 괄호법을 이용한 무한 물점을 갖는 복잡한 줌 렌즈의 수치해석적인 근축광선 줌 궤적 추적법)

  • Yoo, Nam-Jun;Kim, Won-Seob;Jo, Jae-Heung;Ryu, Jae-Myung;Lee, Hae-Jin;Kang, Geon-Mo
    • Korean Journal of Optics and Photonics
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    • v.18 no.6
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    • pp.410-420
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    • 2007
  • We theoretically derive the set of utilizable paraxial zoom locus equations for all complicated zoom lens systems with infinite object distance, such as a camera zoom lens, by using the Gaussian bracket method and the matrix representation of paraxial ray tracing. And we make the zoom locus program according to these equations in Visual Basic. Since we have applied the paraxial ray tracing equations into Gaussian bracket representation, the resultant program systematically simplifies various constraints of the zoom loci of various N group types. Consequently, the solutions of this method can be consistently used in all types of zoom lens in the step of initial design about zoom loci. Finally, in order to verify the usefulness of this method, we show that one example among 4 groups and that among 5 groups, which are very complex zoom lens systems, can be rapidly and with versatility traced through various interpolations by using this program.

Non-imaging Optical Design of a Measurement Probe for LCD Display Used in a Color Analyzer (LCD 디스플레이용 색채계 렌즈에 관한 비결상 광학설계)

  • Rim, Cheon-Seog
    • Korean Journal of Optics and Photonics
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    • v.22 no.5
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    • pp.239-244
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    • 2011
  • We introduce Gaussian (or paraxial) optics that can be successfully applied to design, for use in a color analyzer, a non-imaging optical system on a measurement probe for LCD display. The color analyzer is used to decompose colored lights leaving from some measurement area on the LCD display to red, green, and blue. The color analyzer must include a condenser lens whose purpose is to gather colored lights to illuminate a small area on the sensor. In order to satisfy a reduction ratio between the measurement area and the sensing area with a non-imaging condition, a condenser lens is analytically treated by means of Gaussian optics so that good understanding of the non-imaging condenser lens is achieved as a good design is derived. As a result, the technique shows the necessity of analytical treatment in contrast to the design approach using only commercial software such as CODE-V, Light-Tools, and others. Of course, CODE V and Light-Tools are also utilized in this paper to confirm and complete the Gaussian optical design.

Planar-optical interconnections by using a novel gradient-index substrate (물매-굴절률 기판을 이용한 평판광학적 광신호 연결)

  • 조무희;김영식;송석호
    • Korean Journal of Optics and Photonics
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    • v.8 no.5
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    • pp.431-437
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    • 1997
  • A gradient-index (GRIN) substrate is proposed as a novel signal propagation medium of planar optics. The GRIN substrate provides planar-optics designers not only a 3-dimensional signal propagation space, but also an additional smart optical functioning component like as a diffraction-limited imaging lens. The novel and smart functioning of the GRIN substrate was confirmed by experiment on imaging of an input signal to multiple destinations.

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Curvature Radius of Equivalent Lens Obtained by Recursive Numerical Solving of Gaussian Equations (재귀적 수치 계산법을 이용한 등가 렌즈의 곡률 계산)

  • Lee, Kyu Haeng
    • Korean Journal of Optics and Photonics
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    • v.33 no.6
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    • pp.275-286
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    • 2022
  • As a first step in the optical design process, we derive a recursive numerical calculation method that can give a solution to the Gaussian equation that the paraxial rays satisfy. Given the refractive power, the angle of incidence to the first principal plane of the lens, the angle of exit to the second principal plane of the lens, and the distance between the principal planes, the radii of curvature of the front and back surfaces of a lens can be obtained by applying the recursive numerical calculation method proposed in this paper according to the thickness of the lens. If a module consists of two or more lenses, the thickness and radius of curvature of each lens can be similarly determined after selecting the distance between the principal planes of the lens under the condition of the design specification while increasing the number of lenses one by one.

Converting a Lens to Its Equivalent as Referenced to Pupil Imaging (동의 결상을 기준으로 한 등가렌즈 변환에 대한 연구)

  • Bang, Hyun Jin;Lee, Jong Ung
    • Korean Journal of Optics and Photonics
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    • v.25 no.1
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    • pp.14-20
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    • 2014
  • The equivalent of a thick lens is a lens which has the same power of refraction and paraxial imaging characteristics for a reference ray, but with a different axial thickness. In this study, thick lenses of an optical system were converted to their equivalent lenses referenced to pupil imaging. Aberration changes due to the lens conversion were compared to the general equivalent lens conversion referenced to object imaging.

Calculation of Longitudinal Aberrations in Decentered Optical System with Non-symmetrical Elements (비대칭 오차요인이 있는 편심 광학계에서의 종수차 계산)

  • Ryu, Jae-Myung;Jo, Jae-Heung;Kang, Geon-Mo;Lee, Hae-Jin;Yoneyama, Suji
    • Korean Journal of Optics and Photonics
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    • v.21 no.4
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    • pp.151-160
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    • 2010
  • When the optical image stabilization is implemented by moving one of the lens groups in a zoom system, decentration should be considered in the optical design process. Although it is partially possible to calibrate optical performances in an optical system with non-symmetrical elements by using a lot of commercial software, the results of calibrating longitudinal aberrations have some calibration errors because of the lack of precise consideration of decentered optical systems. In particular, the amount of distortion in paraxial ray tracing is different from the experimental value because paraxial ray tracing in the optical system is not useful. In this paper, in order to solve this problem being from various commercial lens design software, the set of equations of paraxial ray tracing in a zoom lens system with the non-symmetrical elements like decentration or tilt are theoretically induced. Then, the methods to calibrate the equations of longitudinal aberrations by using these equations in a non-symmetrical optical system are presented. The method of calibrating longitudinal aberrations can in practice be used to correct hand shaking effects in a zoom lens system.

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.