• Title/Summary/Keyword: Kramers-Kronig

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Composition Dependence and Optical Properties of Polymethyl Methacrylate/Alumina Nanocomposite in the IR Region Determined by Kramers-Kronig Relation

  • Ghamari, Misagh;Ghasemifard, Mahdi
    • Journal of the Korean Ceramic Society
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    • v.54 no.2
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    • pp.102-107
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    • 2017
  • The dependence of the IR optical properties of PMMA/$Al_2O_3$ nanocomposite on the alumina content was investigated in the wavelength range of $3500-2800cm^{-1}$. The samples were prepared via emulsion polymerization technique using oleic acid as a coupling agent. Grafting density calculations were carried out by means of elemental analysis CHN to yield the best coupling agent content. FTIR analysis confirmed the existence of a chemical bond between aluminum oxide and oleic acid. The outcomes of XRD analyses showed the presence of cubic gamma aluminum oxide in the nanocomposite, in contrast to the amorphous nature of PMMA. TEM images showed the core-shell morphology of the particles other than pristine PMMA. Optical constants of the nanocomposite were calculated based on FTIR spectra and the Kramers-Kronig equations. The presence of nano alumina modified some of the optical indexes in IR region.

Measurement of Acoustic Properties of Polyurethane by the through Transmission Method (투과법을 이용한 폴리우레탄재료의 음향특성 측정)

  • 김태식;이기석;안봉영;이진형
    • The Journal of the Acoustical Society of Korea
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    • v.19 no.1
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    • pp.40-47
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    • 2000
  • To obtain the acoustic properties of dispersive polyurethane with high attenuation, through transmission method was applied by ultrasonic. In through transmission method, the sound velocity and attenuation coefficient of specimen were obtained by using Sachse's method which can be applied to small size specimen. But there is a problem when the reference signal is selected, so the result is not precise. The more precise acoustic properties of polyurethane was obtained when two specimens with different thickness were used. To predict the acoustic properties of low frequency range, the acoustic properties extended to the low frequency range were calculated by Kramers - Kronig relation. As a result, we studied on the relation between the sound velocity and the attenuation coefficient with frequency.

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OPTICAL PROPERTIES OF AMORPHOUS ALUMINA DUST IN THE ENVELOPES AROUND O-RICH AGB STARS

  • SUH, KYUNG-WON
    • Journal of The Korean Astronomical Society
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    • v.49 no.4
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    • pp.127-136
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    • 2016
  • We investigate optical properties of amorphous alumina (Al2O3) dust grains in the envelopes around O-rich asymptotic giant branch (AGB) stars using laboratory measured optical data. We derive the optical constants of amorphous alumina over a wide wavelength range that satisfy the Kramers-Kronig relation and reproduce the laboratory data. Using the amorphous alumina and silicate dust, we compare the radiative transfer model results with the observed spectral energy distributions. Comparing the theoretical models with observations on various IR two-color diagrams for a large sample of O-rich AGB stars, we find that the amorphous alumina dust (about 10-40%) mixed with amorphous silicate better models the observed points for the O-rich AGB stars with thin dust envelopes.

Terahertz time-domain transmission and reflection spectroscopy of niobium

  • Hong, Taeyoon;Choi, Kyujin;Park, Byoung-Cheol;Ha, Taewoo;Sim, Kyung Ik;Ha, Dong-Gwang;Chong, Yonuk;Kim, Jae Hoon
    • Progress in Superconductivity and Cryogenics
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    • v.15 no.1
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    • pp.11-13
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    • 2013
  • We have developed a terahertz time-domain spectroscopy (THz-TDS) system for transmission and reflection measurements of metallic thin films. Using our THz-TDS system, we studied the conventional superconductor niobium (Nb) in the normal state in the spectral range from 5 to $50cm^{-1}$. Both the real and imaginary parts of the conductivity are acquired without Kramers-Kronig analysis. Nb exhibits a nearly frequency independent real conductivity spectrum in the terahertz range, with a very small imaginary part.

Evaluation of Microwave Dielectric Properties in $(Pb_{0.5}Ca_{0.5})(Fe_{0.5}Ta_{0.5})O_3$ Ceramics by the Dielectric Mixing Rule (유전체 혼합 법칙을 이용한 $(Pb_{0.5}Ca_{0.5})(Fe_{0.5}Ta_{0.5})O_3$세라믹스의 마이크로파 유전특성 평가)

  • 박흥수;윤기현;김응수
    • Journal of the Korean Ceramic Society
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    • v.37 no.3
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    • pp.240-246
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    • 2000
  • The microwave dielectric properties of the complex perovskite (Pb0.5Ca0.5)(Fe0.5Ta0.5)O3 ceramics were investigated with the porosity and the dielectric mixing rule. Assuming that the specimens were mixtures of real dielectrics and pores, with 3-0 connectivity, the ionic polarizabilities modified by Maxwell's equation were more close to the theoretical values rather than those modified by Wiener's equation in porous specimens. The theoretical dielectirc loss were obtained with the infrared reflectivity spectra from 50 to 4000cm-1, which were calculated by Kramers-Kronig analysis and classical osciallator model. The relative tendency of dielectric loss calculated from the theoretical value and Maxwell's equation in the specimens with different porosities was in good agreement with the one by the post resonant method.

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Polarization behavior of polyvinylidene fluoride films with the addition of reduced graphene oxide

  • Lee, Junwoo;Lim, Sangwoo
    • Journal of Industrial and Engineering Chemistry
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    • v.67
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    • pp.478-485
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    • 2018
  • The effect of reduced graphene oxide (RGO) addition on the dielectric and piezoelectric behavior of the polyvinylidene fluoride (PVDF) films was studied. Dielectric constant increased by four times and piezoelectric coefficient also increased twice by the addition of RGO in the PVDF films. Based on capacitance-voltage and ellipsometry measurements and the Kramers-Kronig transformation, it is concluded that the enhanced dielectric and piezoelectric properties of the PVDF/RGO films resulted from the increased orientational polarization due to a phase transition from nonpolar crystalline ${\alpha}$ phase to polar crystalline ${\beta}$ phase in the PVDF structure.

Microwave Dielectric Properties and Far Infrared Spectrum of $(Pb_{1-x}Ca_x)(Fe_{0.5}Ta_{0.5})O_3$ Ceramics ($(Pb_{1-x}Ca_x)(Fe_{0.5}Ta_{0.5})O_3$ 세라믹스의 마이크로파 유전특성 및 Far Infrared Spectrum)

  • 박흥수;윤기현;김응수
    • Journal of the Korean Ceramic Society
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    • v.37 no.3
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    • pp.256-262
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    • 2000
  • The dielectric properties of complex perovskite ($Pb_{1-x}Ca_{x}$)($Fe_{0.5}Ta_{0.5}$)$O_{3}$ with >($0.5{\le}x{\ge}0.65$ were investigated at microwave frequencies. Dilectric constant decreased with increasing Ca content, and was directly proportional to the cube of average ionic ra야 of A-site. For the specimen of x=0.6 sintered at $1250^{\circ}C$ for 3 h in air, dielectric constant (k) of 63, QF of 11000 GHz, and the temperature coefficient of resonant frequency(TCF) of -14ppm/$^{\circ}C$ were obtained. As Ca content increased, TCF of the specimen negatively increased due to the reduction of the tolerance factor(t). Changes in intrinsic loss with varying Ca content was investigated by the infrared reflectivity spectra ranging 50 to 4000 $cm^{-1}$, which were calculated by the Kramers-Kronig analysis and classical oscillator model. The relative tendency of microwave dielectric properties of the ($Pb_{1-x}Ca_{x}$)($Fe_{0.5}Ta_{0.5}$)$O_{3}$ specimens calculated from the reflectivity data were in good agreement with the results by the post resonant method.

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High Frequency Magnetic Characteristics of $Co_{90}Fe_{10}$ Thin Films and $Co_{90}Fe_{10}/SiO_2$ Multilayers ($Co_{90}Fe_{10}$ 박막 및 $Co_{90}Fe_{10}/SiO_2$ 다층박막의 고주파 자기특성)

  • 윤의중;진현준;박노경;문대철;김좌연
    • Journal of the Korean Magnetics Society
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    • v.8 no.5
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    • pp.300-307
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    • 1998
  • The $Co_{90}Fe_{10}$ single layer films were deposited on various substrates (glass, Si, polymide) using high vacuum RF magnetron sputtering system and nominall 1000 $\AA$ thick $Co_{90}Fe_{10}$ alloy films had a good high frequency characteristic. $M_S$ and $H_{an}$ values obtained from the B-H characteristic of the $10{\times}[100 nm \;Co_{90}Fe_{10}/100 nm\; SiO_2]$ multilayers agreed well with those obtained by calculation. Complex relative permeability $(={\{\mu}_r={\mu}_r',-j{\mu}$\mu$_r")$ at frequency f was measured from the transmission characteristics $(S_{11},\; S_{21}\;parameters)$ of the microstrip line which has a stacked structure consisting of sample magnetic films and a conductor and is connected to a network analyzer. The ${\mu}_r'-f$ characteristic was abtained from the megnetic absorption, which was analyzed from the S-parameter characteristics of the microstrip line. The ${\mu}_r'-f$ characteristic was also calculated from the ${\mu}_r"-f$-f characteristic using the Kramers-Kronig relation. The measurement results were confirmed to agree well with those obtained by calculations.culations.

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Ellipsometric Study in Vacuum

  • Kim, Yeong-Dong
    • Proceedings of the Korean Vacuum Society Conference
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    • 2012.08a
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    • pp.63-63
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    • 2012
  • 편광분석법(ellipsometry)은 대상 물질의 유전율 함수의 실수부와 허수부를 Kramers-Kronig 관계식의 도움 없이 그 물질상수를 정확히 측정할 수 있는 매우 우수한 기술이다. 이 기술의 큰 장점 중 하나는 빛의 편광상태의 변화를 이용한 비파괴적인 방법으로써 실시간 측정이 가능하며, 박막의 두께측정의 오차범위는 0.1 nm 이하로써 매우 정확하다는 것이다. 본 연구자는 이러한 우수한 측정 기술인 편광분석법을 고진공의 분자살박막증착장치(MBE) 와 결합하여 AlSb, AlP의 유전율 함수를 측정하였다. Al 계열을 포함하는 반도체 화합물은 Al의 산소친화력이 강해 대기 중에서 순수한 유전율 함수를 얻기가 불가능하다. 하지만 본 연구실에서 초고진공 상태의 MBE 챔버에서 시료를 성장시키는 동시에 실시간으로 편광분석기를 이용하여 측정하였고, 지금까지 발표된 결과들 중 가장 순수한 상태의 AlSb 유전율 함수를 얻어낼 수 있었다. 또한 순수한 AlP의 유전함수를 측정할 수 있었고, 이는 편광분석기를 이용한 최초의 실험결과로써 이차미분을 이용한 전이점 분석결과 이론적인 전자밴드구조에서 E1, E1+${\Delta}1$, E2에 해당하는 밴드갭들을 확인할 수 있었다. 또한 표면의 원자배열 구조와 실시간으로 일어나는 그들의 역학적인 현상들에 관한 정보를 얻을 수 있는 surface photoabsorption (SPA)를 metalorganic chemical vapor deposition (MOCVD)에 장착하여 실시간 모니터링이 가능하도록 하였다. SPA를 이용하여 GaAs/AlGaAs 양자우물구조의 성장을 원자층 수준으로 실시간 모니터링을 할 수 있었다. 그리고 SPA를 이용하여 MOCVD 안에서 InP에 As가 흡착 및 탈착되는 현상을 분석하여, As의 흡착이 두 단계에 의해 이루어짐을 분석하였다. 그리고 편광분석법의 빠르고 정확한 측정 기술을 규칙적인 구조체에서 전자기파의 회절을 구할 수 있는 Rigorous Coupled-Wave Analysis (RCWA) 계산방법과 결합하여 나노구조의 기하학적인 모양을 정확하고 빠르게 구할 수 있었다. 본 연구를 위해 규칙적인 3차원 Si 구조체 제작하여 편광분석기로 측정하고 $SiO_2$와 표면 거칠기를 고려하여 RCWA로 분석한 결과, 규칙적인 Si 구조와 산화막 층까지 정확하게 분석할 수 있음을 확인하였다. 또한 규칙적인 나노구조분석 연구를 넘어 불규칙적인 나노구조에 대한 분석 가능성을 보이기 위해 InAs 양자점을 증착하여 분석하였고, 이를 통해 편광분석법과 RCWA를 이용하여 불규칙적인 나노구조의 모양과 크기, 분포의 분석이 가능함을 보였다.

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Dispersion constraints and the Hilbert transform for electromagnetic system response validation (전자기 탐사 시스템 반응의 타당성 확인을 위한 분산 관계식과 힐버트 변환)

  • Macnae, James;Springall, Ryan
    • Geophysics and Geophysical Exploration
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    • v.14 no.1
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    • pp.1-6
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    • 2011
  • As a check on calibration and drift in each discrete sub-system of a commercial frequency-domain airborne electromagnetic system, we aim to use causality constraints alone to predict in-phase from wide-band quadrature data. There are several possible applications of the prediction of in-phase response from quadrature data including: (1) quality control on base level drift, calibration and phase checks; (2) prediction and validation of noise levels in in-phase from quadrature measurements and vice versa and in future; and (3) interpolation and extrapolation of sparsely sampled data enforcing causality and better frequency-domain-time-domain transformations. In practice, using tests on both synthetic and measured Resolve helicopter-borne electromagnetic frequency domain data, in-phase data points could be predicted using a scaled Hilbert transform with a standard deviation between 40 and 80 ppm. However, relative differences between base levels between flight could be resolved to better than 1 ppm, which allows an independent quality control check on the accuracy of drift corrections.