• Title/Summary/Keyword: Equivalent lens

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Generalization of equivalent lens conversion and third order aberration formulae of the generalized equivalent lens system (등가렌즈 변환의 일반화와 일반화된 등가렌즈의 3차수차식)

  • 이종웅;김건수
    • Korean Journal of Optics and Photonics
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    • v.7 no.4
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    • pp.305-313
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    • 1996
  • Lens design method by using equivalent lenses was already introduced, but the method has a limitaion that all lenses should be in the air. Therefore, we often get improper solution in designing cemented lenses. In this study, the lens conversion from thick lens to equivalent lens and its reversal was generalized without any preconditions, and the third order aberration fomulrae were derived for the generalized equivalent lens system. The generalized equivalent lens conversion were applied to typical cemented doublet and triplet, and they show that the third order aberrations of the generalized equivalent lenses have better agreements with their corresponding thick lenses than the previous conversion method.

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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.

Generalized lens group conversion to their equivalent lenses (렌즈군의 일반화된 등가렌즈 변환)

  • 이종웅;박성찬
    • Korean Journal of Optics and Photonics
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    • v.9 no.4
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    • pp.251-257
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    • 1998
  • The equivalent lens conversion is extended to lens group conversion, and the more generalized conversion method is developed. The new conversion method can be used for hte direct thick-to-thick lens conversion. By using the equivalent lens conversion, a thin lens system can be converted into various thick lens system which have different axial thicknesses, but those converted lens systems have identical paraxial property and similar aberration characteristic. For an example, the equivalent lens conversion technique is applied to modification of a thelephoto lens design. The axial thicknesses of the front group elements of the system are reduced to 75% of their original values. The modified design by using the equivalent lens conversion has same focal length with original, and it has smaller aberration changes than the other design of which axial thicknesses are changed only.

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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.

Comparison of the Equivalent Dose of the Lens Part and the Effective Dose of the Chest in the PET/CT Radiation Workers in the Nuclear Medicine Department (핵의학과 PET/CT실 방사선작업종사자의 수정체 부위의 등가선량과 흉부의 유효선량의 측정 비교)

  • Son, Sang-Joon;Park, Jeong-Kyu;Jung, Dong-Kyung;Park, Myeong-Hwan
    • Journal of radiological science and technology
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    • v.42 no.3
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    • pp.209-215
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    • 2019
  • Comparison of the effective dose of the chest and the equivalent dose of the lens site in the radiation workers working at four medical institutions with the PET / CT room located in one metropolitan city and province from April 1 to June 30, 2018 Respectively. Radioactive medicine were measured at the time of dispensing and at the time of injection. In this experiment, the average dispensing time per patient was 5.7 minutes and the average injection time was 3.1 minutes. The equivalent dose at the lens site was $0.78{\mu}Sv/h$ for 1 mCi, and the effective dose for chest was $0.18{\mu}Sv/h$ per 1 mCi. The equivalent dose at the lens site during injection was $0.88{\mu}Sv/h$ per mCi and the effective dose of chest was $0.20{\mu}Sv/h$ per mCi. The daily effective dose of the chest was $0.9{\pm}0.6{\mu}Sv$ and the equivalent dose of the lens site was $3.6{\pm}1.4{\mu}Sv$ during daily dosing for 20 days. The effective dose of the chest during the day was $0.6{\pm}0.5{\mu}Sv$ and the equivalent dose of the lens was $2.2{\pm}1.0{\mu}Sv$. At the time of dispensing, the equivalent dose of the lens was $0.187{\pm}0.035mSv$, the effective dose of the chest was $0.137{\pm}0.055mSv$, the equivalent dose of the lens was $0.247{\pm}0.057mSv$, and the effective dose of the monthly chest was $0.187{\pm}0.021mSv$. As a result of the corresponding sample test, the equivalent dose and the effective dose of the chest, the effective dose of the chest, the effective dose of the chest, the effective dose of the chest, The equivalent dose of the lens and the effective dose of the chest were statistically significant (p<0.05) with a significance of 0.000. However, there was no statistically significant difference (p>0.05) between the equivalent dose and the effective dose of the chest, the equivalent dose of the lens at the time of injection, and the effective dose of the chest at 0.138 and 0.230, respectively.

Study on Equivalent Circuit of 45 Phase Shift Layer for Radant Lens (Radant Lens용 45 위상 변위 레이어의 등가회로 연구)

  • Seong, Cheol-Min;Park, Dong-Chul
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.21 no.10
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    • pp.1121-1127
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    • 2010
  • This paper describes the equivalent circuit of $45^{\circ}$ layer, one of $11.25^{\circ}$, $22.5^{\circ}$, and $45^{\circ}$ phase shift layers, which are needed for X-band Radant lens 4-bit phase shifter. The equivalent circuit is extracted by comparing the CST's MWS results with the Agilent's ADS results for $45^{\circ}$ phase shift layer. The simulated result is compared with the measured one. Using the extracted equivalent circuit, the phase bit simulation results of 4-bit Radant lens are also presented.

Evaluation of Reliability for Combined Refractive Power of Lenses in an Automatic Phoropter (자동포롭터 내부렌즈의 합성굴절력에 대한 신뢰도 평가)

  • Lee, Hyung Kyun;Kim, So Ra;Park, Mijung
    • Journal of Korean Ophthalmic Optics Society
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    • v.20 no.4
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    • pp.501-509
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    • 2015
  • Purpose: To evaluate the reliability of refractive power by comparing the marked refractive power in an automatic phoropter and actually measured spherical/cylindrical refractive power. Methods: Actual refractive power of minus spherical lens and cylindrical lens in an automatic phoropter was measured by a manual lensmeter and compared with the accuracy of marked refractive power. Furthermore, combined refractive power and spherical equivalent refractive power of two overlapped lenses were compared and evaluated with the refractive power of trial lens. Results: An error of 0.125 D and more against the marked degree was observed in 70.6% of spherical refractive power of spherical lens which is built in phoropter, and the higher error was shown with increasing refractive power. Single cylindrical refractive power of cylindrical lens is almost equivalent to the marked degree. Combined spherical refractive power was equivalent to spherical refractive power of single lens when spherical lens and cylindrical lens were overlapped in a phoropter. Thus, there was no change in spherical refractive power by lens overlapping. However, there was a great difference, which suggest the effect induced by overlapping between cylindrical refractive power and the marked degree when spherical lens and cylindrical lens were overlapped. Spherical equivalent refractive power measured by using a phoropter was lower than that estimated by trial glasses frame and marked degree. The difference was bigger with higher refractive power. Conclusions: When assessment of visual acuity is made by using an automatic phoropter for high myopes or myopic astigmatism, some difference against the marked degree may be produced and they may be overcorrected which suggests that improvement is required.

Simple Graphical Selection of Optical Materials for an Athermal and Achromatic Design Using Equivalent Abbe Number and Thermal Glass Constant

  • Kim, Young-Ju;Kim, Yeong-Sik;Park, Sung-Chan
    • Journal of the Optical Society of Korea
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    • v.19 no.2
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    • pp.182-187
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    • 2015
  • This paper presents a new graphical method for selecting a pair of optical glasses to simultaneously achromatize and athermalize an imaging lens made of materials in contact. An athermal glass map that plots thermal glass constant versus inverse Abbe number is derived through analysis of optical glasses and plastic materials in visible light. By introducing the equivalent Abbe number and equivalent thermal glass constant, although it is a multi-lens system, we have a simple way to visually identify possible optical materials. Applying this method to design a phone camera lens equipped with quarter inch image sensor having 8-mega pixels, the thermal defocuses over $-20^{\circ}C$ to $+60^{\circ}C$ are reduced to be much less than the depth of focus of the system.

Optical Design of Cemented Doublets by Using Equivalent Lens System (등가렌즈를 이용한 2매 접합렌즈계의 설계)

  • 전영세;김형수;이종웅;박성찬
    • Korean Journal of Optics and Photonics
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    • v.9 no.5
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    • pp.282-290
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    • 1998
  • The equivalent lens conversion technique is applied to design achromatic doublet and aplanatic doublet. A thin doublet which has zero axial thicknesses, are corrected for the third order aberrations at first, and the thin doublet is converted into thick lens system by using the equivalent lens conversion. Two types of cemented doublets, the Fraunhofer type and the Steinheil type, are designed by using a crown glass BaK-2 and a flint glass SF-2. In the thin doublet design, there are two achromatic solutions and a aplanatic solution for the both types.

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Characteristics Evaluation of the Lens for Underwater Acoustic Imaging (수중음향 영상화를 위한 렌즈 제작 및 특성 평가)

  • Cho, Wan-Ho;Kwon, Hyu-Sang;Cho, Yo-Han;Seo, Hee-Seon
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.26 no.6_spc
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    • pp.687-696
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    • 2016
  • A series of process to design an acoustic lens for underwater imaging is reviewed and the method to evaluate characteristics of the lens is investigated. If the target specification of lens is given, the design process consists of the material selection, evaluation of its properties, lens geometry design, prediction of lens characteristics, manufacturing, and evaluation by measurement. In this study, an actual acoustical lens is made by cutting polymethylpentene block. The characteristics of lens are predicted by the hybrid method, combination of ray tracing and Rayleigh integral. For the direct comparison between the prediction and measurement results, a simulation method based on the equivalent source method is suggested to reflect the actual radiation pattern of transducer used for measurements. Finally, the measurement is conducted in a small water tank to observe the actual characteristics of the manufactured lens.