• Title/Summary/Keyword: Seidel third order aberration

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Lens Design of Camera through Optimization of the Third Order Seidel Aberration and Statistical Tolerance Analysis

  • Lee, Kyutae;Kim, Young-Joo;Kim, Youngwoon
    • Journal of the Optical Society of Korea
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    • v.20 no.3
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    • pp.413-426
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    • 2016
  • There has been much advancement in the field of aerial cameras for geographical features with the help of drones, image processing power and computer aided optical programs. In this study, we propose a new optical lens design technique which minimizes the amount of ‘the third order Seidel aberration’ for enhancing MTF. In addition, we suggest a new optical lens design which stabilizes the mass-production yield through R.S.M and has robustness secure through the Taguchi method. Eventually, the image processing algorithm of stereo matching is implemented in order to evaluate whether the proposed lens design result meets adequate specifications for the use of dual aerial photographs or not. This paper provides good guidance for the optical design by development of experiments.

Curvature Linear Equation of a Two-Mirror System with a Finite Object Distance (유한 물체 거리를 갖는 2 반사경계의 곡률 선형 방정식)

  • Lee, Jung-Gee;Rim, Cheon-Seog
    • Korean Journal of Optics and Photonics
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    • v.16 no.5
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    • pp.423-427
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    • 2005
  • In this paper, we propose easily tooling method for Seidel third order aberration, which are not well utilized in actual design process due to the complication of mathematical operation and the difficulty of understanding Seidel third order aberration theory, even though most insightful and systematic means in pre-designing for the initial data of optimization. First, using paraxial ray tracing and Seidel third order aberration theory, spherical aberration coefficient is derived for a two-mirror system with a finite object distance. The coefficient, which is expressed as a higher-order nonlinear equation, consists of design parameters(object distance, two curvatures, and inter-mirror distance) and effective focal length(EFL). Then, the expressed analytical equation is solved by using a computer with numerical analysis method. From the obtained numerical solutions satisfying the nearly zero coefficient condition($<10^{-6}$), linear fitting process offers a linear relationship called the curvature linear equation between two mirrors. Consequently, this linear equation has two worthy meanings: the equation gives a possibility to obtain initial design data for optimization easily. And the equation shows linear relationship to a two-mirror system with a finite object distance under the condition of corrected third order spherical aberration.

Design and Aberration Analysis of Four-Spherical Mirror System Corrected for 4 Aberrations (4개의 수차가 보정된 유한 물체점을 갖는 4-구면 반사경계의 설계 및 수차해석)

  • 김종태;공홍진;이상수
    • Korean Journal of Optics and Photonics
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    • v.2 no.3
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    • pp.127-132
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    • 1991
  • We have obtained the analytic solutions of the four spherical mirror system free from the Seidel third order aberratios which are spherical aberration, coma, astigmatism, and distortion, Vignetting. Petzval field curvature, and optical properties according to the design parameters are numerically investigated and optimized. The numerical aperture of this system is 0.2 and the half field angle is $1.5^{\circ}$.

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Parameterized Modeling of Spatially Varying PSF for Lens Aberration and Defocus

  • Wang, Chao;Chen, Juan;Jia, Hongguang;Shi, Baosong;Zhu, Ruifei;Wei, Qun;Yu, Linyao;Ge, Mingda
    • Journal of the Optical Society of Korea
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    • v.19 no.2
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    • pp.136-143
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    • 2015
  • Image deblurring by a deconvolution method requires accurate knowledge of the blur kernel. Existing point spread function (PSF) models in the literature corresponding to lens aberrations and defocus are either parameterized and spatially invariant or spatially varying but discretely defined. In this paper, a parameterized model is developed and presented for a PSF which is spatially varying due to lens aberrations and defocus in an imaging system. The model is established from the Seidel third-order aberration coefficient and the Hu moment. A skew normal Gauss model is selected for parameterized PSF geometry structure. The accuracy of the model is demonstrated with simulations and measurements for a defocused infrared camera and a single spherical lens digital camera. Compared with optical software Code V, the visual results of two optical systems validate our analysis and proposed method in size, shape and direction. Quantitative evaluation results reveal the excellent accuracy of the blur kernel model.

Curvature Linear Equation of a Coma Corrected Two-Mirror System with Finite Object Distance (유한 물체거리를 갖는 코마수차가 보정된 2 반사경계의 곡률선형방정식)

  • Hwang, Seok-Ju;Rim, Cheon-Seog;Jo, Jae-Heung
    • Korean Journal of Optics and Photonics
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    • v.18 no.1
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    • pp.19-23
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    • 2007
  • We derived analytically the generalized curvature linear equation useful in the initial optical design of a two-mirror system with finite object distance, including an infinite object distance from paraxial ray tracing and Seidel third order aberration theory for coma coefficient. These aberration coefficients for finite object distance were described by the curvature, the inter-mirror distance, and the effective focal length. The analytical equations were solved by using a computer with a numerical analysis method. Two useful linear relationships, determined by the generalized curvature linear equations relating the curvatures of the two mirrors, for the cancellation of each aberration were shown in the numerical solutions satisfying the nearly zero condition ($<10^{-10}$) for each aberration coefficient. These equations can be utilized easily and efficiently at the step of initial optical design of a two-mirror system with finite object distance.

The design of microscopic system using zoom structure with a fixed magnification and the independency on the variation of object distance (줌 구조를 이용하여 물체거리가 변해도 상면과 배율이 고정되는 현미경 광학계의 설계)

  • 류재명;조재흥;임천석;정진호;전영세;이강배
    • Korean Journal of Optics and Photonics
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    • v.14 no.6
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    • pp.613-622
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    • 2003
  • The multi-configurative microscopic system for inspecting the wire-bonding of reed frame is designed. Rays refracted by objective lens group which is composed of common lens group of x2 and x6 are splitted by beam-splitter, and Rays through the central region and the boundary region of the object imaged at x2 and x6 through imaging lens groups, respectively. The depth of wire structure on the reed frame has about $\pm$3 mm, in order to observe by uniform magnification without the dependency on the variation of objective distance generated by the depth of wire structure on the reed frame, imaging lens groups should be moved on nonlinear locus like mechanically compensated zoom lenses. The nonlinear equations for zoom locus are derived by using the Gaussian bracket. Refraction powers and positions of each groups are numerically determined by solving the equations, and initial design data for each groups is obtained by using Seidel third order aberration theory. The optimization technique is finally utilized to obtain this microscopic system.

Hybrid (refrctive/diffractive) lens design for the ultra-compact camera module (초소형 영상 전송 모듈용 DOE(Diffractive optical element)렌즈의 설계 및 평가)

  • Lee, Hwan-Seon;Rim, Cheon-Seog;Jo, jae-Heung;Chang, Soo;Lim, Hyun-Kyu
    • Korean Journal of Optics and Photonics
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    • v.12 no.3
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    • pp.240-249
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    • 2001
  • A high speed ultra-compact lens with a diffractive optical element (DOE) is designed, which can be applied to mobile communication devices such as IMT2000, PDA, notebook computer, etc. The designed hybrid lens has sufficiently high performance of less than f/2.2, compact size of 3.3 mm (1st surf. to image), and wide field angle of more than 30 deg. compared with the specifications of a single lens. By proper choice of the aspheric and DOE surface which has very large negative dispersion, we can correct chromatic and high order aberrations through the optimization technique. From Seidel third order aberration theory and Sweatt modeling, the initial data and surface configurations, that is, the combination condition of the DOE and the aspherical surface are obtained. However, due to the consideration of diffraction efficiency of a DOE, we can choose only four cases as the optimization input, and present the best solution after evaluating and comparing those four cases. On the other hand, we also report dramatic improvement in optical performance by inserting another refractive lens (so-called, field flattener), that keeps the refractive power of an original DOE lens and makes the petzval sum zero in the original DOE lens system. ystem.

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