• Title/Summary/Keyword: Epsilon Negative

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SELF-SIMILAR SOLUTIONS OF ADVECTION-DOMINATED ACCRETION FLOWS REVISITED

  • Chang, Heon-Young
    • Journal of Astronomy and Space Sciences
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    • v.22 no.2
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    • pp.139-146
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    • 2005
  • A model of advection-dominated accretion flows has been highlighted in the last decade. Most of calculations are based on self-similar solutions of equations governing the accreting flows. We revisit self-similar solutions of the simplest form of advection-dominated accretion flows. We explore the parameter space thoroughly and seek another category of self-similar solutions. In this study we allow the parameter f less than zero, which denotes the fraction of energy transported through advection. We have found followings: 1. For f > 0, in real ADAF solutions the ratio of specific heats ${\gamma}$ satisfies 1 < ${\gamma}$ < 5/3 for O ${\leq}$ f ${\leq}$ 1. On the other hands, in wind solutions a rotating disk does not exist. 2. For f < 0, in real ADAF solutions with ${\epsilon}$ greater than zero ${\gamma}$ requires rather exotic range, that is, ${\gamma}$ < 1 or ${\gamma}$ > 5/3. When -5/2 < ${\epsilon}$' < 0, however, allowable ${\gamma}$ can be found in ${\gamma}$ < 5/3, in which case 4{\Omega}_0$,_ is imaginary. 3. For a negative $u_0$,+ with f > 0, solutions are only allowed with exotic ${\gamma}$, that is, 1 < ${\gamma}$ or ${\gamma}$ > (5f/2-5/3)/(5f/2-1)when O < f < 2/5, (5f/2-5/3)/(5f/2-1) < ${\gamma}$ < 1 when f > 2/5. Since ${\epsilon}$' is negative, 4{\Omega}_0$,+ is again an imaginary quantity. For a negative $u_0$,+ with f < 0, ${\gamma}$ is allowed in 1 < 7 < (5|f|/2 + 5/3)/(5|f|/2 + 1). We briefly discuss physical implications of what we have found.

Broadband Hybrid Antenna with Directional Radiation Pattern Utilizing Epsilon Negative Zeroth-Order Resonance (ENG 영차 공진을 이용하여 대역폭이 개선되고 지향성 방사 패턴을 갖는 하이브리드 안테나)

  • Kim, In-Ho;Lee, Jeong-Hae
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.21 no.8
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    • pp.886-892
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    • 2010
  • In this paper, the hybrid antenna utilizing epsilon negative zeroth-order resonance(ENG ZOR) and $TM_{010}$-mode is presented. The antenna has a directional radiation pattern and improved bandwidth. To obtain a ENG ZOR and $TM_{010}$-mode, the hybrid antenna employs the mushroom structure and the microstrip patch, respectively. Two antennas of the mushroom and the patch are coupled by gap and fed by one coaxial feed. The frequencies of ENG ZOR and of $TM_{010}$ resonance are designed to be 4 GHz and 3.9 GHz, respectively. Because two resonant frequencies are set to be close, the dual-resonance can be formed, resulting in the broader bandwidth. Even though the radiation pattern of an ENG ZOR antenna is omnidirectional, the directional radiation of a microstrip patch antenna compensates the null of omnidirectional pattern of an ENG ZOR antenna. Thus, the hybrid antenna has a directional radiation pattern. The antennas having 4, 3, and 2 unit cells of mushroom structure are designed and analyzed. The antennas have fractional bandwidths of 4.29~4.95 %, gains of 3.16~5.57 dBi, and radiation efficiencies of 62.4~94.2 %.

Propagation Constant and Material constants of Metamaterials (Metamaterial의 전파 상수 및 물질 상수)

  • Lee, Dong-Hyun;Kim, Jae-Hee;Park, Wee-Sang
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.45 no.8
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    • pp.69-74
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    • 2008
  • The propagation constant, which is defined for a double-positive (DPS) material of positive permittivity (${\varepsilon}'$) and permeability (${\mu}'$), is extended and derived for an epsilon-negative (ENG) material (${\varepsilon}'<0,\;{\mu}'>0$), a mu-negative (MNG) material (${\varepsilon}'>0,\;{\mu}'<0$), and a double-negative (DNG) material (${\varepsilon}'<0,\;{\mu}'<0$). By investigating how the permittivity loss (${\varepsilon}"$) and permeability loss (${\mu}"$) terms affect the propagation constant, we determine that the wave in the materials propagates as a right-handed (RH) triad or a left-handed (LH) triad. Regardless of the magnitudes of ${\varepsilon}"$ and ${\mu}"$, DPS and DNG materials become RH and LH media, respectively. However, ENG and MNG materials possess unusual characteristics that both materials become a RH medium when the sign of (${\varepsilon}'{\mu}"+{\varepsilon}"{\mu}'$) is positive and they become a LH medium when the sign is negative.

Wideband ENG Zeroth-Order Resonant Antenna Having Mushroom Shape (버섯 형태를 갖는 광대역 ENG 영차 공진 안테나)

  • Chang, Woo-Cheol;Lee, Bom-Son
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.20 no.9
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    • pp.997-1002
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    • 2009
  • This Letter presents a wideband ENG(Epsilon Negative) ZOR(Zeroth-Order Resonant) antenna designed on a microstrip line. It has a mushroom structure and its size is only $7.65{\times}1.31{\times}2.37\;mm$(or $0.306{\times}0.053{\times}0.095\;{\lambda}_0$ at 12 GHz) owing to zeroth-order resonance. The design procedures with closed form solutions are provided using transmission line theory considering radiation loss. The measured antenna bandwidth is about 20.0 % at 9.2 GHz and antenna gain is 7.1 dBi despite the compact size.

Genesis of the acidic metavolcanic rocks distributed around the Chungju iron deposit in the Gyemyeongsan Formation (계명산층 내의 충주 철광상 주변에 분포하는 산성 변성화산암의 성인)

  • Park Maeng-Eon;Kim Gun-Soo;Park Kye-Hun
    • The Journal of the Petrological Society of Korea
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    • v.14 no.3 s.41
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    • pp.169-179
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    • 2005
  • Acidic metavolcanic rocks distributed around the Chungju iron deposit show significantly high abundances of rare earth elements and high field strength elements. Relatively high ${\epsilon}_{Nd}$(0) values and lack of negative Nb anomaly suggest that assimilation of crustal material is not involved in their generation. They are plotted within the within-plate environment according the tectonic discrimination diagrams. Such geochemical characteristics are very similar to the acidic metavolcanic rocks of Munjuri Formation. They also show geochemical characteristics of Al-type magma of Eby (1992). All such diagnostic characters indicate differentiation of mantle-derived magma produced from the rift environment, related to the breakup of continent. In contrast to the alkali granites and the rare metal deposit both having age of c. 330 Ma, Sm-Nd isotopic data of the acidic metavolcanic rocks do not form well defined isochron. However, the alkali granites reveal low ${\epsilon}_{Nd}$(0) values, while the acidic metavolcanic rocks and the rare metal deposit both have significantly higher ${\epsilon}_{Nd}$(0) values. Considering such differences, we propose following generation hypothesis: The acidic metavolcanic rocks around Chungju iron deposit was erupted at 750 Ma as rest of the acidic metavolcanic rocks of Gyemyeongsan and Munjuri Formations. About 330 Ma ago, partial melting of existing Al-type igneous materials and some old crustal materials produced alkali granite. The rare metal deposit was also produced by redistribution of related materials within the acidic volcanics due to hydrothermal activities occurred at the same time. Sm-Nd isotopic systematics of the acidic metavolcanic rocks were disturbed during the regional metamorphic event at ca. 280 Ma.

A temperature stable bandpass filter using dieletric-filled stepped impedance resonators (접합된 Stepped impedance resonator를 이용한 온도보상형 유전체 대역통과 필터)

  • Lim, Sang-Kyu;Kim, Jun-Chul;Kim, Duck-Hwan;Ha, Jong-Su;Oh, Chang-Heon;Sim, Hwa-Sup;An, Chul
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.35D no.2
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    • pp.78-85
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    • 1998
  • The design method of a temperature stable bandpass filter using dielectric coaxial resonators of with two dielectric ceramics with opposite signs of temperature coefficient of dielectric constant (${\tau}_{\epsilon}$) to compensate for each other in this method. $MgTiO_3$(${\tau}_{\epsilon}$=+99 ppm/${\circ}C$) as a positive ${\tau}_{\epsilon}$ material and Ba($Zn_{1/3}Nb_{2/3}$)$O_3$(${\tau}_{\epsilon}$=-77ppm/${\circ}C$) as a negative material were selected. The length of a SIR for the temperature stability was calculated according to the design method and the susceptance slope parameter of the SIR was obtained. A temperature stable bandpass filter using dielectric SIR's was designed, simulated and fabricated. The center frequency of this filter was 915 MHz and the pass bandwidth was 20 MHz. Temperature properties of this bandpass filter by simulations were compared with the measured results of the bandpass filter fabricated.

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THE q-ANALOGUE OF TWISTED LERCH TYPE EULER ZETA FUNCTIONS

  • Jang, Lee-Chae
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.6
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    • pp.1181-1188
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    • 2010
  • q-Volkenborn integrals ([8]) and fermionic invariant q-integrals ([12]) are introduced by T. Kim. By using these integrals, Euler q-zeta functions are introduced by T. Kim ([18]). Then, by using the Euler q-zeta functions, S.-H. Rim, S. J. Lee, E. J. Moon, and J. H. Jin ([25]) studied q-Genocchi zeta functions. And also Y. H. Kim, W. Kim, and C. S. Ryoo ([7]) investigated twisted q-zeta functions and their applications. In this paper, we consider the q-analogue of twisted Lerch type Euler zeta functions defined by $${\varsigma}E,q,\varepsilon(s)=[2]q \sum\limits_{n=0}^\infty\frac{(-1)^n\epsilon^nq^{sn}}{[n]_q}$$ where 0 < q < 1, $\mathfrak{R}$(s) > 1, $\varepsilon{\in}T_p$, which are compared with Euler q-zeta functions in the reference ([18]). Furthermore, we give the q-extensions of the above twisted Lerch type Euler zeta functions at negative integers which interpolate twisted q-Euler polynomials.

Microwave Dielectric Properties of $(Zr_{0.65}Sn_{0.35})Ti_{1.04}O_4$ Ceramics according to Doped NiO and Sintering Temperature ($(Zr_{0.65}Sn_{0.35})Ti_{1.04}O_4$ 세라믹스의 NiO 첨가량 및 소결온도에 따른 고주파 유전특성)

  • Yun, J.R.;Heung, S.Y.;Lee, H.Y.;Kweon, J.Y.;Kim, K.Y.
    • Proceedings of the KIEE Conference
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    • 1994.07b
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    • pp.1487-1489
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    • 1994
  • $(Zr_{0.65}Sn_{0.35})Ti_{1.04}O_4$ system which has a dielectric constant, low dielectric loss and temperature coefficient was investigated. Temperature coefficient varied from positive to negative with increasing of NiO. For the NiO content 1.0wt%. i.e $(Zr_{0.65}Sn_{0.35})Ti_{1.04}O_4$, the ceramic showed very good dielectric properties such as ${\epsilon}$=37.8, $Q{\times}f_o=49.000$ and ${\tau}_r= 4{\pm}1ppm/^{\circ}C$.

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An Omnidirectional Planar Antenna with Four Stepped L-shape slots (4개의 계단형 L-슬롯 구조를 갖는 전방향성 평면 안테나)

  • Nam, Sung-Soo;Lee, Hong-Min
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.1 no.3
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    • pp.3-8
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    • 2008
  • In this paper, an planar antenna which has omnidirectional radiation pattern in H-plane and low profile is proposed. By adding inductance elements of an ENG shell structure, a capacitance element of an electrically small antenna is easily achieved with impedance matching. An ENG shell structure is consist of a inductive loading structure which has symmetrical four stepped L-shape slots. The simulated result shows, the impedance bandwidth of the proposed antenna is 150MHz (2.5 ~ 2.65GHz). The simulated maximum radiation gain of proposed antenna is 1.12 dBi at center frequency 2.56GHz. Omnidirectional radiation pattern is achieved. The proposed antenna will be applied to wireless lan access point system.

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Prediction Acidity Constant of Various Benzoic Acids and Phenols in Water Using Linear and Nonlinear QSPR Models

  • Habibi Yangjeh, Aziz;Danandeh Jenagharad, Mohammad;Nooshyar, Mahdi
    • Bulletin of the Korean Chemical Society
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    • v.26 no.12
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    • pp.2007-2016
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    • 2005
  • An artificial neural network (ANN) is successfully presented for prediction acidity constant (pKa) of various benzoic acids and phenols with diverse chemical structures using a nonlinear quantitative structure-property relationship. A three-layered feed forward ANN with back-propagation of error was generated using six molecular descriptors appearing in the multi-parameter linear regression (MLR) model. The polarizability term $(\pi_1)$, most positive charge of acidic hydrogen atom $(q^+)$, molecular weight (MW), most negative charge of the acidic oxygen atom $(q^-)$, the hydrogen-bond accepting ability $(\epsilon_B)$ and partial charge weighted topological electronic (PCWTE) descriptors are inputs and its output is pKa. It was found that properly selected and trained neural network with 205 compounds could fairly represent dependence of the acidity constant on molecular descriptors. For evaluation of the predictive power of the generated ANN, an optimized network was applied for prediction pKa values of 37 compounds in the prediction set, which were not used in the optimization procedure. Squared correlation coefficient $(R^2)$ and root mean square error (RMSE) of 0.9147 and 0.9388 for prediction set by the MLR model should be compared with the values of 0.9939 and 0.2575 by the ANN model. These improvements are due to the fact that acidity constant of benzoic acids and phenols in water shows nonlinear correlations with the molecular descriptors.