• Title/Summary/Keyword: Snell's law

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An Application of the Impedance Boundary Condition to Microwave Cavity Analysis using Vector Finite Element Method

  • Shin, Pan-Seok;Changyul Cheon;Sheppard J.Salon
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.3B no.1
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    • pp.16-22
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    • 2003
  • This paper presents an application of an impedance boundary condition to 3D vector finite element analysis of a multi-port cylidrical microwave cavity using Snell's law. Computing memory benefits and computing time reduction are obtained from this method compared with the conventional finite element method(FEM). To verify the method, a high permittivity scatterer in free space is analyzed and compared with the results of conventional (FEM). In addition, this method has been analyzed several types of cavities, including water load, to demonstrate the validity and accuracy of the program.

Analysis of Fourier-transform Holographic Kinoforms Using Exact Ray Tracing (엄밀한 광선추적법에 의한 푸리에변환 holographic kinoform의 분석)

  • 조두진
    • Korean Journal of Optics and Photonics
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    • v.4 no.4
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    • pp.390-396
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    • 1993
  • When a one-dimensional telecentric paraxial holographic kinoform is used as a Fourier transform lens, we analyzed three surface-relief structures, i.e., plano-convex, convex-plano and biconvex shapes, employing exact raytracing method based on Snell's law. For the kinoform of E/8 and focal length of 15 mm, the number of zones, the thickness, and the slope of parabolic surfaces are varied by changing the refractive indicies of kinoform material and surrounding medium. It is found that biconvex shape gives the best results in general, although off-axis performance degrades in all cases as the slope of parabolic surfaces increases.

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Development of Surface-mount-type Crown-shaped Lens for Reducing Glare Effect of Light-emitting Diode Light Source (LED 광원의 눈부심 현상을 감소시키기 위한 표면 실장형 CR 렌즈 개발)

  • Park, Yong Min;Bang, Hyun Chul;Seo, Young Ho;Kim, Byeong Hee
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.23 no.1
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    • pp.64-68
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    • 2014
  • This paper introduces the use of a crown-shaped (CR) lens to effectively diffuse the light from a light-emitting diode (LED) without any loss in the light intensity, in contrast to polymer-bulb-type diffusers. The diffusion lens was designed based on the Snell's law, which describes the physical path of a ray passing through the boundary between different media. CR lenses were fabricated by polydimethylsiloxane (PDMS) casting and UV-embossing processes, which used a pre-designed metal mold and UV-curable resin, respectively. Through experiments and optical evaluations, it was verified that the newly proposed CR lens not only decreased the vertical light strength and glare effect from an LED light source but also improved the diffusion characteristics while maintaining the quality of the LED's light intensity.

An Improvement of Expendable Bathythermograph Measurement Mechanism for Anti-Submarine Warfare (대잠용 수온측정계 측정 메커니즘 개선)

  • Shin, Sang-Sik;Cho, Hwan Hwi;Park, Seung Soo
    • Journal of Korean Society for Quality Management
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    • v.42 no.3
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    • pp.301-310
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    • 2014
  • Purpose: The purpose of this study is to improve a mechanism of expendable bathythermograph measurement by balancing wire resistances between plus wire part and minus wire part and by removing effects of sea water resistance between XBT(Expendable Bathythermograph) and temperature recorder. Methods: The problems are exactly found out through the analysis of XBT and temperature recorder circuit. A process of XBT manufacturing that balances wire resistances between plus wire part and minus wire part is added. Results: The results of this study are as follows; the complicated test process such as temperature accuracy test with a cistern is substituted with a simple process of XBT manufacturing such as balancing wire resistances between plus wire part and minus wire part. Then, the temperature accuracy tolerance of XBT is improved up to ${\pm}0.1^{\circ}C$. Conclusion: Consequently, balancing wire resistances and removing effects of sea water resistance improve temperature accuracy of XBT and reduce expensive and harassing process of XBT manufacturing.

Secondary Optics Design of Dissymmetrical Light Distribution for 100 W LED Safety Luminaires (100 W급 LED 보안 등기구용 비대칭 배광의 2차 렌즈 설계)

  • Shin, Ik-Tae;Yang, Jong-Kyung;Lee, Dong-Jin;Par, Dae-Hee
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.23 no.6
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    • pp.471-476
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    • 2010
  • This paper has studied dissymmetrical light distribution design using the secondary optics in the simulation. fundamental Lambertian radiation distribution based on LED has been cut off by the secondary optics, and the first surface slope of lens and second surface slope of total reflection area have been calculated through formula. PMMA (the index of refraction: 1.49361) which is material of lens has been selected. critical angle($42.02993^{\circ}$) between Air and PMMA has been calulated by snell's law, and total reflection angle slope has been selected about $16.67^{\circ}$ to occur the total reflection. when the first surface slope and the second surface slope has been set up, Rays of all total reflection area have generated the total reflection. finally, designed LED Module has been estimated by Korean Industrial Standards for LED safety street lighting. dissymmetrical light distribution have been analyzed with reached effect of road illuminance, and average road illuminance which are each 70.6 lx, 40.35 lx, and 25.88 lx have been satisfied with Korean Industrial Standards for LED safety street lighting.

Optical Characteristics of the LGP with Nanometer-patterned Sizes on Its Both Surfaces (복합 나노미터 패턴 도광판의 광특성)

  • Hong, Chin-Soo;Kim, Chang-Kyo;Lee, Byoung-Wook;Kim, Kyoung-Rae
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.6
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    • pp.530-534
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    • 2008
  • The LGP with nanometer structures resulted in enhancement of optical efficiency. Its fundamental mechanism is to recycle the polarized light via one round-trip through QWP(Quarter-wave Plate) but the maximum efficiency to reach with this method is limited up to 2. To get the larger efficiency than this a LGP with 1D PC(one-dimensional photonic crystal) nanometer-patterned on its top and bottom surfaces is suggested. For its optimum design the computer simulation is performed and suggests a grating that the spatial frequency between adjacent patterns is 500nm, its height 250nm, duty cycle 50%, and its cross section is rectangular. The angles of transmitted light are nearly the same as the results expected from the generalized Snell's law. Thus the Mathematica code, developed in this experiment, will be applied to designing the optimized LGP. The LGP with nanometer-patterened 1D PC LGP on its both surfaces shows the enhancement of transmitted intensity distribution up to 5.7 times.

Optical Analysis for the Autostereoscopic Display with a Lenticular Array Using Finite Ray Tracing (유한광선추적을 이용한 렌티큘러 렌즈 기반 3차원 디스플레이 장치의 해석)

  • Kim, Bong-Sik;Kim, Keon-Woo;Choi, Da-Shin;Park, Woo-Sang
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.27 no.3
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    • pp.162-166
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    • 2014
  • We propose an analysis method of an autostereoscopic display system with lenticular lens array using finite ray-tracing method that is verified by the geometrical optics. In the present work, we adopt the cylinder equation for the mathematical expression of the lenticular lens. For the calculation of the direction cosine of the transmitted ray, we first calculate the refracting point at bottom of the lens and the direction cosine of the incident ray that propagating through the lens by the Snell's law, and then apply to finite ray-tracing method. Finally, we obtain the simulation results for the intensity distribution of the ray at optimal viewing distance. From these results, we confirm the realization of 3D image that exists separately according to the viewing position at an optimal viewing distance.

Design Method for a Total Internal Reflection LED Lens with Double Freeform Surfaces for Narrow and Uniform Illumination

  • Yang, Jae Suk;Park, Jae-Hyeung;O, Beom-Hoan;Park, Se-Geun;Lee, Seung Gol
    • Journal of the Optical Society of Korea
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    • v.20 no.5
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    • pp.614-622
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    • 2016
  • In this paper, we propose a novel differential equation method for designing a total internal reflection (TIR) LED lens with double freeform surfaces. A complete set of simultaneous differential equations for the method is derived from the condition for minimizing the Fresnel loss, illumination models, Snell’s Law of ray propagation, and a new constraint on the incident angle of a ray on the light-exiting surface of the lens. The last constraint is essential to complete the set of simultaneous differential equations. By adopting the TIR structure and applying the condition for minimizing the Fresnel loss, it is expected that the proposed TIR LED lens can have a high luminous flux efficiency, even though its beam-spread angle is narrow. To validate the proposed method, three TIR LED lenses with beam-spread angles of less than 22.6° have been designed, and their performances evaluated by ray tracing. Their luminous flux efficiencies could be obviously increased by at least 35% and 5%, compared to conventional LED lenses with a single freeform surface and with double freeform surfaces, respectively.

Study of the Correlation of Plasma Resonance and the Refractive Index to Dielectric Dispersion in the Complex Plane

  • Zhou, Xiao-Yong;Shen, Yan;Hu, Er-Tao;Chen, Jian-Bo;Zhao, Yuan;Sheng, Ming-Yu;Li, Jing;Zheng, Yu-Xiang;Zhao, Hai-Bin;Chen, Liang-Yao;Li, Wei;Jiang, Xun-Ya;Lee, Young-Pak;Lynch, David W.
    • Journal of the Optical Society of Korea
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    • v.17 no.1
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    • pp.27-32
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    • 2013
  • Based on the dispersive feature of the dielectric function of noble metals and the wave vector conservation in physics, both the plasma effect and the complex refractive index, which are profoundly correlated to the complex dielectric function and permeability, have been studied and analyzed. The condition to induce a bulk or a surface plasma in the visible region will not be satisfied, and there will be one solution for the real and the imaginary parts of the refractive index, restricting it only to region I of the complex plane. The results given in this work will aid in understanding the properties of light transmission at the metal/dielectric interface as characterized by the law of refraction in nature.

Refinement of Interpretation Method for Reliable Vs Profiling in Downhole Seismic Method (다운홀 시험에서 신뢰성 있는 전단파 속도 주상도 도출을 위한 해석 기법의 개선)

  • Bang, Eun-Seok;Kim, Dong-Soo;Yoon, Jong-Ku
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.3C
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    • pp.157-170
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    • 2006
  • Downhole method is considered as giving a little unreliable Vs profile when the signal to noise ratio(S/N) is low and the travel time information is erroneous although it is economical and ease of operation. Direct method has been applied for obtaining adequate result in this case. But it is difficult to determine optimum result by using direct method which is subjective and considering straight ray path. Therefore, in this paper, Mean Refracted Ray Path Method(MRM) was proposed, which is automated and considering refracted ray path. Artificial travel time data adding some travel time error was generated by forward modeling based on Snell's Law and travel time data was also obtained from numerical signal traces using FEM modelling. Using these travel time data, reliability of MRM was verified in the manner of comparing the results determined by MRM with the model. Finally, proposed method was applied to the real field data and it was considered as improved method for obtaining the optimum result in downhole seismic method.