• Title/Summary/Keyword: Paraxial optics

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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.

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-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.

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.

New Design Method of Stable Lens System Against Chromatic Variation Based on Paraxial Ray Tracing

  • Lee, Jong-Ung
    • Current Optics and Photonics
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    • v.4 no.1
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    • pp.23-30
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    • 2020
  • This paper presents a new method for designing a lens system stable against chromatic variation at a specified wavelength. Conventional lenses are corrected for chromatic aberration, but the new method suppresses chromatic changes of the marginal ray in the image-side. By doing so, paraxial properties of the lens system are stabilized against chromatic variation. Since the new method is based on paraxial ray tracing, the stabilizing conditions against chromatic variation are given by recurrence formulas. However, there is an analytic solution for the case of a cemented doublet in the air. A stable doublet at 405 nm wavelength is designed and analyzed.

The Design of Telecentric Lenses and Fly-eye Lenses by Utilizing fθ Formula (fθ 공식을 활용한 텔레센트릭 렌즈 및 플라이아이 렌즈의 설계)

  • Rim, Cheon-Seog
    • Korean Journal of Optics and Photonics
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    • v.24 no.1
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    • pp.9-16
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    • 2013
  • We try to find the generalized structural equation that gives a perspective understanding for telecentric lenses through paraxial optical algebraic equations and preconditions from a highly experienced design sense. The equation is named the $f{\theta}$ formula and this formula is applied to single lenses, double Gauss lenses, Cooke triplet lenses and the compound lens composed of a Cooke triplet lens and a double Gauss lens step by step. And this formula is also applied to single fly-eye lenses plus a telecentric lens and double fly-eye lenses plus a telecentric lens in sequence. As a result, we can confirm that this $f{\theta}$ formula leads to intuitive optical design with a structural understanding for telecentric lens systems.

Comparison of the Optical properties of Schematic Eyes by using the Seidel aberrations (자이델 수차를 이용한 모형안의 광학적 성능 비교)

  • Kim, Bong-Hwan;Lim, Hyeon-Seon;Ji, Taek-Sang
    • Journal of Korean Ophthalmic Optics Society
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    • v.9 no.2
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    • pp.269-280
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    • 2004
  • For the studying of the optical property of the human eye by using the Seidel aberrations with schematic eyes, we have used the several paraxial and fine schematic eyes. In another world, after fixing the iris ot aperture pinhole on the anterior of lens, we investigated how the surface contributions and the surface asphericity affected the optical properties of schematic eyes by using the Seidel aberration coefficients variation. Also, by analysis of dividing both a relaxed state and the accommodation state of the eye, we investigated the change of the optical properties during the change of accommodation.

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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.

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.