• Title/Summary/Keyword: 근축 광선 추적

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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.

General Numerical Calculation Method for Paraxial Zoom Loci of Zoom Lenses with Finite Object Distance by Using Gaussian Bracket Method (가우스 괄호법을 이용한 유한 물점을 갖는 줌 렌즈에 대한 일반적인 수치해석적 근축광선 줌 궤적 추적)

  • Lee, Do-Kyung;Yoo, Nam-Jun;Jo, Jae-Heung;Ryu, Jae-Myung;Kang, Geon-Mo;Lee, Hae-Jin
    • Korean Journal of Optics and Photonics
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    • v.20 no.3
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    • pp.156-165
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    • 2009
  • We theoretically derive the set of general paraxial zoom locus equations for all zoom lens systems with finite object distance, including the infinite object distance case, by using the Gaussian bracket method and matrix representation of paraxial ray tracing. We make the zoom locus program by means of a numerical calculation method according to these equations in Visual Basic Language. Consequently, the solutions of this method can be consistently and flexibly used in all types of zoom lens in the step of initial design about zoom loci. Finally, in order to verify the justification and usefulness of this method, we show that two examples, such as $M_{4a}$ and $M_{4h}$ types of 4 groups, and one example, $M_{5n}$ type of 5 groups, which are very complicated zoom lens systems, can be rapidly and diversely traced through various interpolations by using this program.

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.

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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Non-Paraxial Diffraction Effect of High NA Objectives (높은 개구수를 가지는 대물렌즈의 비근축 회절효과)

  • Lee, Jong Ung
    • Korean Journal of Optics and Photonics
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    • v.25 no.1
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    • pp.8-13
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    • 2014
  • By using finite ray-tracing and curve fitting, a numerical method to determine the non-paraxial pupil function of a high-NA objective is presented. MTF degradations caused by the non-paraxial diffraction effect are analyzed for on-axial imaging of a far-infrared objective and aberration-free ellipsoidal mirror system. The ellipsoidal mirror system has the same paraxial specifications as the far-infrared objective.

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.

Effect of Combination with Aspherical Lens in the Micro Optical System Design (마이크로 광학계의 설계에서 비구면 렌즈의 조합 효과)

  • 김명중;김한섭;박규열;전종업;김의중
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.1422-1425
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    • 2003
  • In the design of optical system, important variables of optical system (including indices, shapes, spaces, stops. etc.) must manipulate in order to balance out offensive aberration. In this paper, it carried out a basic study on the design of micro optical system usable for the acquaintance of visual information in the particular conditions such as capsule type endoscopes. In this study, specification for design of optical system selected voluntarily and the basic design of optical system carried out by using the ray tracing method on the assumption that ideal lenses without aberrations. In the designed optical system, the optimization including aberration correction and the performance evaluation of optical system carried out by using the CODE-V. The final designed optical system consists of seven sheets of lenses. Also the results of performance evaluation. the micro optical system combined with aspherical lenses was confirmed to have improved optical performance as compared with the micro optical system consisted of spherical lenses.

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Design and Tolerance Analysis of 3-D Stereoscopic Display Modules with Alternating Illumination Angles (조명각 변조 방식의 3차원 입체영상 표시장치설계 및 공차분석)

  • Jeong, Woo-Chul;Ha, Sang-Woo;Park, Hun-Yang;O, Beom-Hwan;Park, Se-Geun;Lee, El-Hang;Lee, Seung-Gol;Park, Sun-Ryoung;Jo, Sung-Min
    • Korean Journal of Optics and Photonics
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    • v.16 no.3
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    • pp.201-208
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    • 2005
  • In order to realize a 3-D stereoscopic display module with alternating illumination angles, several conditions required for a lenticular lens sheet were established, and then both the lens specification and the module structure were designed. Also the performance of the stereoscopic module and its tolerance characteristics were evaluated by simulating the intensity distribution on the observation plane with a finite-ray tracing technique. From the evaluation, it was known that an intersection area between two adjacent lenses should not be filled and that the lateral mismatch between a planar liquid crystal shutter and a lens sheet should be minimized.

Optical system design for compact digital still camera using diffractive optical elements (회절광학소자를 이용한 컴팩트 디지털 스틸 카메라용 광학계 설계)

  • 박성찬
    • Korean Journal of Optics and Photonics
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    • v.11 no.4
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    • pp.239-245
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    • 2000
  • In this paper, the fundamental properties of diffractive optical element were investigated. Also, this work deals with theoretical approaches for achromatization in DOE's optical system based on thin lens theory. It is found that achromatization could be satisfied by one hybrid lens only, which is composed of a diffractive and a refractive element. In order to have compact optical system, we used the tele-photo type lens composed of a positive and a negative power elements instead of retro-focus lens. From the Gaussian brackets and Seidel aberration theory, the initial design was numerically obtained. The aberration properties of an initial design was aplanat and flat field. In order to correct the chromatic aberrations, refractive and diffractive elements were used on front element. This hybrid lens is also useful for correction of higher order aberrations. Compared to conventional design composed of refractive lenses only, this approach dramatically improved the compactness of the optical system. Finally, residual aberration balancing results in a lens with focal length of 3.89 mm and overall length of 5.19 mm, which has enough performance over an f-number of 4.0. Also, it is expected to fulfill all the requirements of a digital still camera lens. This optical system is superior to the current refractive lens system in the number of elements, weight, and aberration properties. rties.

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Numerical Calculation for Autofocus of Zoom Lenses by Using Gaussian Brackets (가우스 괄호법을 이용한 줌 렌즈의 조출량에 대한 수치해석 계산법)

  • Jo, Jae-Heung;Lee, Do-Kyung;Lee, Sang-On;Ryu, Jae-Myung;Kang, Geon-Mo;Lee, Hae-Jin
    • Korean Journal of Optics and Photonics
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    • v.20 no.3
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    • pp.166-174
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    • 2009
  • When the object distance of a zoom lens with finite object distances is varied, we can fix the image at a fixed image plane by moving only one zoom lens group (autofocus group) without moving all zoom lens groups for the autofocus. We theoretically formulated and numerically calculated the moving distances of the autofocus group by using Gaussian brackets and a paraxial ray tracing method. The solutions of this method can be consistently and flexibly used in the initial design for the moving distance of autofocus group within these zoom loci in all types of zoom lens. Finally, in order to verify the usefulness of this method, we show that the moving distance of an autofocus group can be rapidly and diversely obtained in one example of $M_{5n}$ zoom lens type.