• Journal of the Optical Society of Korea
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• 제7권2호
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• pp.72-78
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• 2003

It is reported that the spectral loss of photonic crystal fiber (PCF) having a large hole-to-hole distance (~ 10 ${\mu}{\textrm}{m}$) is sensitive to micro- and macrobending when compared with the conventional single-mode fiber. In this paper, we will present the measurement result of the macro- and microbending characteristics of fabricated PCF with large hole-to-hole distance (> 10 ${\mu}{\textrm}{m}$) . For the macrobending experiment, the fiber was simply wound around a circular structure with variable diameter that could be reduced to a few centimeters. For the microbending case, regularly spaced silica rods were attached on a slide glass and pressed against the fiber by loading a stack of metal plates of known weight on the glass. The transmission loss spectrum shows a rather flat response to the to microbending, and this makes the PCF a good candidate for a wideband variable optical attenuator.

• 대한수학회보
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• 제58권1호
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• pp.31-46
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• 2021

Let a and b be positive integers, and let V (G), ��(G), and ��2(G) be the vertex set of a graph G, the minimum degree of G, and the minimum degree sum of two non-adjacent vertices in V (G), respectively. An even [a, b]-factor of a graph G is a spanning subgraph H such that for every vertex v ∈ V (G), dH(v) is even and a ≤ dH(v) ≤ b, where dH(v) is the degree of v in H. Matsuda conjectured that if G is an n-vertex 2-edge-connected graph such that $n{\geq}2a+b+{\frac{a^2-3a}{b}}-2$, ��(G) ≥ a, and ${\sigma}_2(G){\geq}{\frac{2an}{a+b}}$, then G has an even [a, b]-factor. In this paper, we provide counterexamples, which are highly connected. Furthermore, we give sharp sufficient conditions for a graph to have an even [a, b]-factor. For even an, we conjecture a lower bound for the largest eigenvalue in an n-vertex graph to have an [a, b]-factor.

• Current Optics and Photonics
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• 제8권1호
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• pp.86-96
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• 2024

This research investigation employs a terahertz (THz) time-domain spectroscopy system to study the terahertz spectral characteristics of five different citrates in both solution and solid state. The citrates under examination are lithium citrate, monosodium citrate, disodium citrate, trisodium citrate, and potassium citrate. The results show that the THz absorption coefficients of the first four citrate solutions exhibit a decreasing trend with increasing concentration. However, the potassium citrate solution shows an opposite phenomenon. At the same time, the absorption coefficients of lithium citrate, trisodium citrate, and potassium citrate solutions are compared at the same concentration. The results indicate that the absorption coefficient of citrate solution increases in proportion to the increase of metal cation radius, which is explained from the perspective of the influence of metal cations on hydrogen bonds. In addition, we also study the absorption peaks of solid citrates, and characterize the formation mechanism of the absorption peaks by molecular dynamics simulations. This methodology can be further extended to the study of multitudinous salts, presenting theoretical foundations for the detection in food and medicine industries.

• 한국음향학회지
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• 제18권5호
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• pp.68-77
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• 1999

본 논문에서는 고강도 집속형 초음파의 주파수 특성(파형)에 따른 초음파 공동 현상을 억 제하는 효과를 살펴보았다. 본 연구에서는 세가지 파형, 즉, 정현파(1 MHz, 5 MPa), 주파수 변조파(10 ㎲ 동안 1 MHz에서 6 MHz까지 선형적으로 증가, 5 MPa), 비대칭 충격파(기 본 주파수 1 MHz, 양압 12 MPa, 음압 -4 MPa)를 고려하였다. 동일한 강도(833 W/㎠)를 가지는 각 초음파에 노출된 초기 반경이 1 ㎛인 물 속에 있는 공기 기포의 반응을Gilmore bubble dynamic model 및 Church's rectified gas diffusion equation을 이용하여 예측하였다. 기포 진동의 크기는, 정현파에 노출된 경우와 비교하여, 주파수 변조된 초음파의 경우 현저히 감소하였고, 비대칭 충격파의 경우 약간 감소함을 볼 수 있었다. 흥미롭게도 주파수 변조파에 대한 기포의 반응은 변조된 초음파의 주파수 성분이 기포의 공진 주파수(3 MHz) 이상에서는 거의 동일하게 유지되는 것으로 나타났다. 이 사실은 주파수 변조를 현재의 1 MHz부터 6 MHz까지에서 1 MHz부터 3 MHz까지로 줄여도 유사한 공동 억제 효과를 얻을 수 있음을 암시한다. 실용적으로, 비교적 좁은 밴드 폭을 가지는 범용 초음파 변환기를 이 용하여 초음파의 공동 현상 억제 효과를 얻기 위한 주파수 변조를 구현할 수 있음을 의미한다. 본 연구의 결과는 초음파의 적절한 주파수 성분 조절로 초음파의 공동 현상을 일정 수준 억제할 수 있음을 시사한다.

• 한국광학회지
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• 제19권2호
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• pp.127-131
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• 2008

본 논문에서는 굴절률 감지 방식의 수직 결합형 폴리머 마이크로링 공진기 기반 글루코스 바이오 센서를 제안하고 구현하였다. 이 센서에서 상부 클래딩 역할을 하는 글루코스 분석 대상물의 농도 변화는 링 공진기의 공진파장 이동을 측정함으로써 얻어진다. 특히, 센서의 감도를 향상시키기 위해 다음과 같은 방법을 사용하였다. 첫째로, 분석 대상물에 근접한 유효굴절률을 갖는 폴리머 도파로 구조를 공진기 센서에 도입하였다. 둘째로, 분석 물질의 접촉면적을 확대하기 위해 측면 클래딩층이 충분히 식각된 pedestal 링 도파로 구조를 사용하였다. 제안된 공진기 센서는 빔전파 방법을 사용하여 설계하고 분석하였다. 사용된 코어 및 클래딩용 폴리머의 굴절률은 각각 1.430과 1.375였으며, 링 반경은 $400\;{\mu}m$였다. 이 때 얻어진 도파로의 유효굴절률은 ${\sim}1.390$였으며 글루코스 수용액의 굴절률 1.333와 매우 근접하였다. 제작된 소자의 기본적인 전달특성은 FSR(free spectral range) 0.66 nm, 대역폭 ${\sim}0.15\;nm$, Q 값 10,000 이었다. 1550 nm 광파장 대역에서 얻어진 측정 결과를 살펴보면, 센서 감도는 ${\sim}0.28\;pm$/(mg/dL)였으며, 이에 따른 굴절률 변화 감도는 ${\sim}200\;nm/RIU$였다.

• 천문학회보
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• 제38권2호
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• pp.47.1-47.1
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• 2013

We present structural parameters of galaxies in the Extended Viro Cluster Catalog (EVCC), new catalog of galaxies in the Viro cluster using homogeneous Sloan Digital Sky Survey (SDSS) Date Release 7 (DR7) data. The EVCC covers more extended region of the Viro cluster than of the Virgo Cluster Catalog (VCC) and presents updated morphologies of galaxies using multi-band images and spectral features. We obtain the surface brightness profiles of galaxies using ellipse task in IRAF. Based on the analysis of surface brightness profile we construct a catalog of various structural parameters of galaxies, i.e. central surface brightness, effective radius, sersic index, effective surface brightness, and mean effective surface brightness. Taking advantage of these structural parameters in various parameter spaces, we refine criteria of dividing giant elliptical and dwarf elliptical galaxies. In addition, we found that bulge dominated galaxies have larger sersic index and brighter central surface brightness than disk dominated galaxies. At fixed magnitude, dwarf elliptical galaxies dwarf lenticular galaxies, and dwarf irregular low surface brightness (LSB) galaxies show larger effective radii than giant elliptical galaxies, giant lenticular galaxies, and irregular high surface brightness (HSB) galaxies, respectively. Dwarf elliptical galaxies and dwarf irregular LSB galaxies occupy the similar structural parameter spaces. We suggest that giant elliptical galaxies and dwarf elliptical galaxies may have different origin.

• 한국의학물리학회지:의학물리
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• 제27권3호
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• pp.105-110
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• 2016

Sparse angular sampling has been studied recently owing to its potential to decrease the radiation exposure from computed tomography (CT). In this study, we investigated the analytic reconstruction algorithm in sparse angular sampling using the sinogram interpolation method for improving image quality and computation speed. A prototype of the spectral CT system, which has a 64-pixel Cadmium Zinc Telluride (CZT)-based photon-counting detector, was used. The source-to-detector distance and the source-to-center of rotation distance were 1,200 and 1,015 mm, respectively. Two energy bins (23~33 keV and 34~44 keV) were set to obtain two reconstruction images. We used a PMMA phantom with height and radius of 50.0 mm and 17.5 mm, respectively. The phantom contained iodine, gadolinium, calcification, and lipid. The Feld-kamp-Davis-Kress (FDK) with the sinogram interpolation method and Maximum Likelihood Expectation Maximization (MLEM) algorithm were used to reconstruct the images. We evaluated the signal-to-noise ratio (SNR) of the materials. The SNRs of iodine, calcification, and liquid lipid were increased by 167.03%, 157.93%, and 41.77%, respectively, with the 23~33 keV energy bin using the sinogram interpolation method. The SNRs of iodine, calcification, and liquid state lipid were also increased by 107.01%, 13.58%, and 27.39%, respectively, with the 34~44 keV energy bin using the sinogram interpolation method. Although the FDK algorithm with the sinogram interpolation did not produce better results than the MLEM algorithm, it did result in comparable image quality to that of the MLEM algorithm. We believe that the sinogram interpolation method can be applied in various reconstruction studies using the analytic reconstruction algorithm. Therefore, the sinogram interpolation method can improve the image quality in sparse-angular sampling and be applied to CT applications.

• 한국광학회지
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• 제11권5호
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• pp.360-364
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• 2000

반도체 포화 흡수거울 (Semiconductor Saturable Absorber Mirror:SESAM)을 이용하여 Cr:LiSAF 레이저를 제작하고 이를 모드록킹 시켰다. 펌핑 레이저는 파장이 667 nm이고, 출력이 500mW인 두 대의 고출력 레이저(Coherent S-67-500C-100-H)가 사용되었으며, 레이저 결정은 Brewster-Brewster 모양인 $Cr^{+3}$의 농도가 1.5%이고 길이가 6mm인 것을 사용하였다. 공진기는 X-형 구조로, 곡률반경이 10cmdls 오목거울과, 군속도 보상을 위한 SF10 프리즘, 투과율이 1%의 출력거울을 사용하였다. 포화흡수체로 사용되는 SESAM의 구조는 맨위층에 10nm의 $AlAs/Al_{0.15}Ga_{0.85}As$ 양자우물과 30쌍의 $AlAs/Al_{0.15}Ga_{0.85}As/GaAs/Al_{0.15}Ga_{0.85}As$반사경으로 구성되어 있다. 펌핑 레이저의 출력이 800mWdlfEo 레이저 출력은 3mW였고, 중심파장은 833nm이었으며 스펙트럼 대역폭은 4nm, 레이저 펄스폭은 220fs 였다.

• 대한수학회보
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• 제30권2호
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• pp.187-191
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• 1993

In this note we prove the following result: Let A be a complex Banach *-algebra with continuous involution and let B be an $A^{*}$-algebra./T(A) = B. Then T is continuous (Theorem 2). From above theorem some others results of special interest and some well-known results follow. (Corollaries 3,4,5,6 and 7). We close this note with some generalizations and some remarks (Theorems 8.9.10 and question). Throughout this note we consider only complex algebras. Let A and B be complex algebras. A linear mapping T from A into B is called jordan homomorphism if T( $x^{1}$) = (Tx)$^{2}$ for all x in A. A linear mapping T : A .rarw. B is called spectrally-contractive mapping if .rho.(Tx).leq..rho.(x) for all x in A, where .rho.(x) denotes spectral radius of element x. Any homomorphism algebra is a spectrally-contractive mapping. If A and B are *-algebras, then a homomorphism T : A.rarw.B is called *-homomorphism if (Th)$^{*}$=Th for all self-adjoint element h in A. Recall that a Banach *-algebras is a complex Banach algebra with an involution *. An $A^{*}$-algebra A is a Banach *-algebra having anauxiliary norm vertical bar . vertical bar which satisfies $B^{*}$-condition vertical bar $x^{*}$x vertical bar = vertical bar x vertical ba $r^{2}$(x in A). A Banach *-algebra whose norm is an algebra $B^{*}$-norm is called $B^{*}$-algebra. The *-semi-simple Banach *-algebras and the semi-simple hermitian Banach *-algebras are $A^{*}$-algebras. Also, $A^{*}$-algebras include $B^{*}$-algebras ( $C^{*}$-algebras). Recall that a semi-prime algebra is an algebra without nilpotents two-sided ideals non-zero. The class of semi-prime algebras includes the class of semi-prime algebras and the class of prime algebras. For all concepts and basic facts about Banach algebras we refer to [2] and [8].].er to [2] and [8].].

• Journal of Astronomy and Space Sciences
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• 제36권1호
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• pp.21-33
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• 2019

This paper focuses on the interpretation of radiation fluxes from active galactic nuclei. The advantage of positron annihilation spectroscopy over other methods of spectral diagnostics of active galactic nuclei (therefore AGN) is demonstrated. A relationship between regular and random components in both bolometric and spectral composition of fluxes of quanta and particles generated in AGN is found. We consider their diffuse component separately and also detect radiative feedback after the passage of high-velocity cosmic rays and hard quanta through gas-and-dust aggregates surrounding massive black holes in AGN. The motion of relativistic positrons and electrons in such complex systems produces secondary radiation throughout the whole investigated region of active galactic nuclei in form of cylinder with radius R= 400-1000 pc and height H=200-400 pc, thus causing their visible luminescence across all spectral bands. We obtain radiation and electron energy distribution functions depending on the spatial distribution of the investigated bulk of matter in AGN. Radiation luminescence of the non-central part of AGN is a response to the effects of particles and quanta falling from its center created by atoms, molecules and dust of its diffuse component. The cross-sections for the single-photon annihilation of positrons of different energies with atoms in these active galactic nuclei are determined. For the first time we use the data on the change in chemical composition due to spallation reactions induced by high-energy particles. We establish or define more accurately how the energies of the incident positron, emitted ${\gamma}-quantum$ and recoiling nucleus correlate with the atomic number and weight of the target nucleus. For light elements, we provide detailed tables of all indicated parameters. A new criterion is proposed, based on the use of the ratio of the fluxes of ${\gamma}-quanta$ formed in one- and two-photon annihilation of positrons in a diffuse medium. It is concluded that, as is the case in young supernova remnants, the two-photon annihilation tends to occur in solid-state grains as a result of active loss of kinetic energy of positrons due to ionisation down to thermal energy of free electrons. The single-photon annihilation of positrons manifests itself in the gas component of active galactic nuclei. Such annihilation occurs as interaction between positrons and K-shell electrons; hence, it is suitable for identification of the chemical state of substances comprising the gas component of the investigated media. Specific physical media producing high fluxes of positrons are discussed; it allowed a significant reduction in the number of reaction channels generating positrons. We estimate the brightness distribution in the ${\gamma}-ray$ spectra of the gas-and-dust media through which positron fluxes travel with the energy range similar to that recorded by the Payload for Antimatter Matter Exploration and Light-nuclei Astrophysics (PAMELA) research module. Based on the results of our calculations, we analyse the reasons for such a high power of positrons to penetrate through gas-and-dust aggregates. The energy loss of positrons by ionisation is compared to the production of secondary positrons by high-energy cosmic rays in order to determine the depth of their penetration into gas-and-dust aggregations clustered in active galactic nuclei. The relationship between the energy of ${\gamma}-quanta$ emitted upon the single-photon annihilation and the energy of incident electrons is established. The obtained cross sections for positron interactions with bound electrons of the diffuse component of the non-central, peripheral AGN regions allowed us to obtain new spectroscopic characteristics of the atoms involved in single-photon annihilation.