• Title/Summary/Keyword: dispersion relation

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Dispersion relation of double metal-strip waveguides (이중 금속-선 광도파로의 분산관계)

  • Song, Seok-Ho;Ju, Yang-Hyeon;Won, Hyeong-Sik
    • Proceedings of the Optical Society of Korea Conference
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    • 2006.07a
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    • pp.41-42
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    • 2006
  • An idea for extension of propagation range of surface plasmon-polaritons(SPP), which are guided on metal-strip waveguides, is suggested. Slight modification in refractive indices and/or separation gaps can increase two orders of magnitude in propagation distance of SPPs. Dispersion relations of extended long-range SPP modes excited on vertically coupled SPP waveguides are discussed in detail.

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Complex refractive index of PECVD grown DLC thin films and density variation versus growth condition (PECVD 방법으로 성장시킨 DLC 박막의 복소굴절율 및 성장조건에 따른 박막상수 변화)

  • 김상준;방현용;김상열;김성화;이상현;김성영
    • Korean Journal of Optics and Photonics
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    • v.8 no.4
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    • pp.277-282
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    • 1997
  • The complex refractive index of Diamond-like Carbon (DLC) thin films, which can be applied to optical devices or electrical devices, have been determined using optical methods. DLC thin films are grown on Si(100) substrates and vitreous silica substrates respectively, using the technique of plasma enhanced chemical vapor deposition (PECVD). The spectroscopic ellipsometry data($\psi$, $\Delta$) and the transmission spectra of these DLC films are obtained. These optical spectra are analyzed with the help of the Sellmeier dipersion relation and a quantum mechanically derived dispersion relation. Using spectroscopic ellipsometry data at their transparent region, the refractive index and the effective thickness of DLC films on vitreous silica are model calculated, Then the transmission spectra are inverted to yield the extinction coefficient spectra k(λ) at absorbing region. These spectra are fit to the quantum mechanical dispersion relation and the best fit dispersion constants are determined. The complex refractive indices are easily calculated with these constants. The spectroscopic ellipsometry data at the absorbing region in model calculated to give the packing densities and the degrees of surface microroughness of DLC films. Discussions are made in correlation with the growth condition of DLC films.

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Interaction of Ion Cyclotron Electromagnetic Wave with Energetic Particles in the Existence of Alternating Electric Field Using Ring Distribution

  • Shukla, Kumari Neeta;Kumari, Jyoti;Pandey, Rama Shankar
    • Journal of Astronomy and Space Sciences
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    • v.39 no.2
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    • pp.67-77
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    • 2022
  • The elements that impact the dynamics and collaborations of waves and particles in the magnetosphere of planets have been considered here. Saturn's internal magnetosphere is determined by substantiated instabilities and discovered to be an exceptional zone of wave activity. Interchanged instability is found to be one of the responsible events in view of temperature anisotropy and energization processes of magnetospheric species. The generated active ions alongside electrons that constitute the populations of highly magnetized planets like Saturn's ring electron current are taken into consideration in the current framework. The previous and similar method of characteristics and the perturbed distribution function have been used to derive dispersion relation. In incorporating this investigation, the characteristics of electromagnetic ion cyclotron wave (EMIC) waves are determined by the composition of ions in plasmas through which the waves propagate. The effect of ring distribution illustrates non-monotonous description on growth rate (GR) depending upon plasma parameters picked out. Observations made by Cassini found appropriate for modern study, have been applied to the Kronian magnetosphere. Using Maxwellian ring distribution function of ions and detailed mathematical formulation, an expression for dispersion relation as well as GR and real frequency (RF) are evaluated. Analysis of plasma parameters shows that, proliferating EMIC waves are not developed much when propagation is parallelly aligned with magnetosphere as compared to waves propagating in oblique direction. GR for the oblique case, is influenced by temperature anisotropy as well as by alternating current (AC) frequency, whereas it is much affected only by AC frequency for parallel propagating waves.

The Virial Relation and Intrinsic Shape of Elliptical Galaxies

  • Trippe, Sascha
    • The Bulletin of The Korean Astronomical Society
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    • v.41 no.2
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    • pp.32.1-32.1
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    • 2016
  • Early-type galaxies (ETGs) are supposed to follow the virial relation M ~ sigma^2 * R_e, with M being the galaxy mass, sigma being the stellar velocity dispersion, and R_e being the (2D) effective radius. I apply this relation to (a) the ATLAS3D sample and (b) the sample of Saglia et al. (2016). The two datasets reveal a statistically significant tilt of the empirical relation relative to the theoretical virial relation such that M ~ (sigma^2 * R_e)^0.92 with zero intrinsic scatter. This tilt disappears when replacing R_e with the semi-major axis of the projected half-light ellipse, a. Accordingly, a, not R_e, is the correct proxy for the scale radius of ETGs. By geometry, this implies that early-type galaxies are axisymmetric and oblate in general, in agreement with recent results from modeling based on kinematics and light distributions.

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Gain From Consumer's Information Searching and Price Dispersion

  • Lee, Jonghee
    • International Journal of Human Ecology
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    • v.15 no.2
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    • pp.59-67
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    • 2014
  • Consumer information influences purchasing behavior; however, less is known about the relationship in the credit market. Credit markets offer consumers a complex array of different products when choosing mortgages. The current study examines whether borrowers search for the very best terms when making major decisions about borrowing money or obtaining credit as well as explores the relation between consumer information seeking and the cost of credit. This study demonstrates the existence of price dispersion between those who made an extensive information seeking and those who did not. When controlling for the proxies of creditworthiness and demographics of the respondents, it is found that those who made a great deal of information seeking tend to have lower mortgage rates than those who made almost no information seeking. This study offers financial educators and policy makers suggestions on how to help consumers make better financial decisions.

A Study for dispersion evacuation by behavioral characteristics based on human cognitive abilities (인간의 인지능력 기반의 행동특성이 반영된 분산대피에 관한 연구)

  • Jang, Jae-Soon;Rie, Dong-Ho
    • Journal of the Korea Safety Management & Science
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    • v.14 no.3
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    • pp.159-166
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    • 2012
  • A*algorithm is highly useful to search the shortest route to the destination in the evacuation simulation. For this reason, A*algorithm is used to evaluate the evacuation experiment by the computer simulation. However there are some problems to analyze the outcome in relation to the reality. Because all the people in the building are not well-informed of the shortest route to the exit. And they will not move to the disaster spot though it is shortest route to the exit. Therefore, evacuation simulation program based on A*algorithm raise a problem of bottleneck phenomenon and dangerous result by damage surrounding the disaster spot. The purpose of this research is to prove the necessity for dispersion evacuation simulation by Multi agent system to solve the problems of the existing evacuation simulation program based on A*algorithm.

Shear waves propagation in an initially stressed piezoelectric layer imperfectly bonded over a micropolar elastic half space

  • Kumar, Rajneesh;Singh, Kulwinder;Pathania, D.S.
    • Structural Engineering and Mechanics
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    • v.69 no.2
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    • pp.121-129
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    • 2019
  • The present study investigates the propagation of shear waves in a composite structure comprised of imperfectly bonded piezoelectric layer with a micropolar half space. Piezoelectric layer is considered to be initially stressed. Micropolar theory of elasticity has been employed which is most suitable to explain the size effects on small length scale. The general dispersion equations for the existence of waves in the coupled structure are obtained analytically in the closed form. Some particular cases have been discussed and in one particular case the dispersion relation is in well agreement to the classical-Love wave equation. The effects of various parameters viz. initial stress, interfacial imperfection and micropolarity on the phase velocity are obtained for electrically open and mechanically free system. Numerical computations are carried out and results are depicted graphically to illustrate the utility of the problem. The phase velocity of the shear waves is found to be influenced by initial stress, interface imperfection and the presence of micropolarity in the elastic half space. The theoretical results obtained are useful for the design of high performance surface acoustic devices.

Investment and Business Cycles: Focusing on Firms' Capital Adjustment Costs

  • NAM, CHANGWOO
    • KDI Journal of Economic Policy
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    • v.44 no.1
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    • pp.77-98
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    • 2022
  • This paper empirically verifies that the types of capital adjustment costs serve as an important mechanism in relation to investment decision-making after confirming that the investment dispersion of Korean firms is pro-cyclical and can affect business cycles. Specifically, it is found through empirical methods using corporate financial data that capital adjustment costs generally assumed to take a quadratic form in macroeconomics are asymmetric and irreversible in the Korean economy. In particular, capital adjustment costs are empirically proven to cause investment dispersion to expand given that the substitution effect of the marginal value to the marginal cost for one unit of investment in the inter-temporal investment decision is affected by that cost with regard to the resale of owned equipment assets, as opposed to new investments in equipment assets. We ultimately show, albeit indirectly, that investment dispersion can affect business cycles as capital adjustment costs influences investment decisions. What is implied is that the capital adjustment cost is not merely an exogenously deep parameter that fits the dynamics of business cycles in a macroeconomic model but could instead be a policy variable that can be endogenized through government policies.

Extraction of the Self-Energy from Simulated ARPES Data for High $T_c$ Superconductors (고온초전도체 ARPES 시뮬레이션에서 자체에너지 추출)

  • Bok, Jin-Mo;Yun, Jae-Hyun;Choi, Han-Yong
    • Progress in Superconductivity
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    • v.10 no.2
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    • pp.69-73
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    • 2009
  • For extraction of the self-energy from the angle resolved photoemission spectroscopy(ARPES) experiments for the cuprate superconductors, the momentum distribution curve(MDC) analysis is commonly used. There are two requirements for this method to work: the self-energy is momentum independent and the bare electron dispersion is known. Assuming that the first condition is satisfied in the cuprates, we checked the effects of the bare dispersion on the extracted self-energy. For this, we first generated the ARPES intensity using the tight-binding band of the B2212 by solving the Eliashberg equation. We then extracted the self-energy from the theoretically generated ARPES intensity using the linear and quadratic dispersions. By choosing the bare dispersion such that the Kramer-Kronig relation is best satisfied between the real and imaginary parts of the extracted self-energy, we confirmed that the quadratic dispersion is better for the bare electron band for Bi2212. The self-energy can be reasonably extracted from the ARPES experiments using the MDC analysis.

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