• Title/Summary/Keyword: Huygens

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Spectral and Coherence Properties of Spectrally Partially Coherent Gaussian Schell-model Pulsed Beams Propagating in Turbulent Atmosphere

  • Liu, Dajun;Luo, Xixian;Wang, Guiqiu;Wang, Yaochuan
    • Current Optics and Photonics
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    • v.1 no.4
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    • pp.271-277
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    • 2017
  • Based on the extended Huygens-Fresnel principle, the analytical propagation formulae for spectrally partially coherent Gaussian Schell-model pulsed (SPGSMP) beams propagating in turbulent atmosphere have been derived. The influences of the parameters for turbulent atmosphere and SPGSMP beams on the on-axis and off-axis spectral shift and degree of coherence for SPGSMP beams propagating in turbulent atmosphere have been analyzed, using numerical calculations. The obtained results have potential applications for SPGSMP beams in free-space optical communication and laser lidar.

포물면경 반사기 안테나의 Defocusing에 관한 연구

  • 한석태;홍의석;오영환
    • Proceedings of the Korean Institute of Communication Sciences Conference
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    • 1986.04a
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    • pp.184-188
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    • 1986
  • The gain variations of paraboloid reflector antenna with an axially and perpendicularly defocused feed are investigated using the Huygens-Fresnel Principle. The theoretical calculations and the experimental for the reflector antenna with an axially defocused feed are compared. Although there were about 3dB difference between two results in a range from focal point to 2.0 wave-length, we could know that it was property approached to theoretical results. However, when the magnitude of defocusing is increased, the differences are also increased because of the influence by a weak received signal and interference of external noises. In addition, it can be shown that gain variations are acutely decreased more in perpendicular defocusing than in axial defocusing in the paraboloid reflector antenna.

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Spreading of a Lorentz-Gauss Vortex Beam Propagating through Oceanic Turbulence

  • Liu, Dajun;Yin, Hongming;Wang, Guiqiu;Wang, Yaochuan
    • Current Optics and Photonics
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    • v.3 no.2
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    • pp.97-104
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    • 2019
  • Based on the extended Huygens-Fresnel principle, the analytical equation for a Lorentz-Gauss vortex beam propagating through oceanic turbulence has been derived. The spreading properties of a Lorentz-Gauss vortex beam propagating through oceanic turbulence are analyzed in detail using numerical examples. The results show that a Lorentz-Gauss vortex beam propagating through stronger oceanic turbulence will spread more rapidly, and the Lorentz-Gauss vortex beam with higher topological charge M will lose its initial dark center more slowly.

A Study on the Orthogonality Properties of the Eigenmodes of Phase Conjugate Optical Resonator (위상 공액 공진기의 고유 모드 직교성에 관한 연구)

  • Cho, Che Hwang;Kim, Eun Soo;Young, In Eung
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.23 no.3
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    • pp.397-400
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    • 1986
  • In this paper, the orthogonal properties of the eigenmodes of optical resonators which have phase conjugate mirrors at both ends are derived. The modes which propagate in resonators are descdribed by the Huygens integral. Then, the eigeneuqation which is needed in order to prove the orthogonality of the eigenmodes of the resonator is obtained from this representation. When the kernel being a part of the eigenequation is Hermitian as in conventional resonators and in optical resonator with only one phase conjugate mirror, one can show that the eigenmodes have essentially biorthogonal relations, which are satisfied the set of modes propagating in one direcdtion around the resonator and the adjoint set of modes propagating in the reversed direction.

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Analysis of High School Students' Viewpoints based on Science History about Motion of Objects (과학사에 기초한 물체의 운동에 대한 고등학생들의 관점 분석)

  • Paik, Seong-Hey;Jo, Young-Jin
    • Journal of The Korean Association For Science Education
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    • v.26 no.3
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    • pp.317-329
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    • 2006
  • In this research, a questionnaire was developed to investigate high school students' viewpoints, originating from science history, on 'motion of on object', the subjects were seventy- five 10th grade students and sixty-five 11th grade students. Results found that the highest percentage among the types of 10th grade students' thoughts was related to the Middle Ages 'Impetus' viewpoints. Percentages of 11th grade students' thoughts were highest for Middle Ages and Newton views. These results provided proof that the development of student thoughts' based on science history' are consistent with school year. Furthermore, student thought regarding 'object motion' under the conditions of no force, vacuum, or air under a weightless stage were related to progressive viewpoints on science history. However, the percentage of thoughts related to earlier viewpoints were considerable. Student thoughts on parabolic motion, circle motion, and conservation amount of motion were found to be highly significant in similarity to the viewpoints of Galilei, Descartes, and Huygens; view cultivated before Newton. Consequently, this study determined that educational efficiency could be raised by providing historically more progressive views to cope with conflictory student thoughts-thoughts related to past views in science history.

VERTICAL PROPERTIES OF THE GLOBAL HAZE ON TITAN DEDUCED FROM METHANE BAND SPECTROSCOPY BETWEEN 7100 AND 9200Å

  • Sim, Chae-Kyung;Kim, Sang-Joon;Kim, Joo-Hyeon;Seo, Haing-Ja;Jung, Ae-Ran;Kim, Ji-Hyun
    • Journal of The Korean Astronomical Society
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    • v.41 no.3
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    • pp.65-76
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    • 2008
  • We have investigated the optical properties of the global haze on Titan from spectra recorded between 7100 and $9200{\AA}$, where $CH_4$ absorption bands of various intensities occur. The Titan spectra were obtained on Feb. 23, 2005 (UT), near the times of the Cassini T3 flyby and Huygens probe, using an optical echelle spectrograph (BOES) on the 1.8-m telescope at Bohyunsan Observatory in Korea. In order to derive the optical properties of the haze as a function of altitude, we developed an inversion radiative-transfer program using an atmospheric model of Titan and laboratory $CH_4$ absorption coefficients available from the literature. The derived extinction coefficients of the haze increase toward the surface, and the coefficients at shorter wavelengths are greater than those at longer wavelengths for the 30 - 120 km altitude range, indicating that the Titanian haze becomes optically thin toward the longer wavelength range. Total optical depths of the haze are estimated to be 1.4 and 1.2 for the 7270 - $7360{\AA}$ and 8940 - $9150{\AA}$ ranges, respectively. Based on the Huygens/DISR data set, Tomasko et al. (2005) reported total optical depths of 2.5 - 3.5 at $8290{\AA}$, depending on the assumed fractal aggregate particle model. The total optical depths based on our results are smaller than those of Tomasko et al., but they partially overlap with their results if we consider a large uncertainty from possible variations of the $CH_4$ mixing ratio over Titan's disk. We also derived the single scattering albedo of the haze particles as a function of altitude: it is less than 0.5 at altitudes higher than ${\sim}150\;km$, and approaches 1.0 toward the surface. This behavior suggests that, at altitudes above ${\sim}150\;km$, the average particle radius is smaller than the wavelengths, whereas near the surface, it becomes comparable or greater.

Analysis of the Ultrasonic Beam Profile Due to Variation of the Inter-Element Spacing for the Phased Array Transducer (페이즈드 어레이 트랜스듀서에 있어서 구성 압전소자의 간격 변화에 따른 초음파 빔 전파 특성 해석)

  • Choe, Sang-U;Lee, Jun-Hyeon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.4 s.175
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    • pp.972-981
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    • 2000
  • The phased array transducer has two distinct advantages. One is rapid scanning comparing with the conventional mechanical or manual scanning system. Therefore, output image is represented in real-time. The other is the dynamic focusing and the dynamic steering of ultrasonic beam. Only the delay times that are controlled electrically are used to focus and to steer beam without any lenses or wedges. In this study, the profile of the ultrasonic beam for the phased array transducer has been simulated in the Huygens principle with varying the inter-element spacing of the linear phased array transducer. From the result of this study, it was found that the ultrasonic beam spread wider as the inter-element spacing was decreased. However, the focusing effect was improved, even when the number of the element was not big. In addition, there was grating lobes that are constructed when the inter-element spacing is more than half wavelength. However, this grating lobe has lower amplitude than the main lobe.

Jurisprudence in the History of Statistics (통계학사 속에서의 법)

  • Jo, Jae-Keun
    • Communications for Statistical Applications and Methods
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    • v.18 no.5
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    • pp.559-570
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    • 2011
  • The role of jurisprudence is examined in the early history of probability and statistics. From the mid-17th to the early 18th century, Christiaan Huygens and Jacob Bernoulli used mathematical expectation to solve the problems that originated from games of chance. We demonstrate that their concept of expectation as a fair price for participating in a game came from the legal concept of 'fair trade'. In addition, we consider that the probability that Bernoulli defined in his Ars Conjectandi originated from the legal concept of 'degree of certainty'. After considering some contributions of Laplace and Poisson, we examined the history of census and statistical survey in the early 19th century. Contrary to the history of the 17th and 18th century, statistics influenced society and law in the 19th century.

A Study on Safety Blasting Design with Blast Vibration Analysis Urban Area (도심지 미진동 제어 발파에서 진동분석을 통한 안전발파설계에 관한 연구)

  • 안명석;박종남;배상근
    • Explosives and Blasting
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    • v.17 no.2
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    • pp.36-44
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    • 1999
  • A study was made on the design of the prediction model concerning blasting vibration in a constraction site, Namgu, Daegu City. The geology in this area consists of hornfels of shale and mud underlain by quartize, of which the main strike of the geological structure is NW direction. Measurements were carried out on the top of the wall concrete water storage tank, which is burried in the ground earth. The attenuation due to the vertical wall of the concrete structure may be experted because of spherical divergency at the bottom corner of the wall by the Huygens principle. For design of blasting prediction model, thus among scaled distance(SD) may be preferable to use in the regression model, since they represents most likely the average ground condition. Judging from the regression results, the cube root method may be more suitable for this area. The SD values for the maximum allowable vibration velocity of 0.5 cm/s, in this area are 22.5, 28.0 and 30.6 for the significance level of 50%, 95% and 99%, respectively.

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Analysis of Secondary Pre-service Science Teachers' Conceptions about Motion of Objects Based on the Viewpoints of Science History (예비 중등과학 교사들의 물체의 운동 개념의 과학사적 관점 분석)

  • Joo, Jee-Young;Kim, So-Yean;Paik, Seoung-Hey
    • Journal of The Korean Association For Science Education
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    • v.24 no.6
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    • pp.1049-1062
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    • 2004
  • In this study, various scientific viewpoints of 'motion of objects' were analyzed from the Aristoteles age to the Newton age. From the analysis, a questionnaire was developed which was including causes of motion, forms of motion, and preservation quantity of movement. The conceptions of pre-service science teachers were researched by the questionnaire developed in this study based on the science historical viewpoints. The subjects were twenty sophomore students of physic education major and thirty four of other science education major who majored common science education also in a college. Most of the pre-service teachers of physical education major had inertia and Newton's force conception related to the question situations of 'causes of motion' and 'forms of motion'. But a lot of the pre-service teachers of physic education major and other science education major had viewpoints of Descartes or Huygens related to the question situation of 'preservation quantity of movement'. Only few pre-service teachers regardless of major had Newton's viewpoint which represented in current Korean science curriculum for secondary school.