• Current Optics and Photonics
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• 제2권3호
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• pp.226-232
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• 2018

We propose a triangular-multicore hollow optical fiber (TMC-HOF) design for uncoupled mode-division and space-division multiplexing. The TMC-HOF has three triangular cores, and each core has three modes: $LP_{01}$ and two split $LP_{11}$ modes. The asymmetric structure of the triangular core can split the $LP_{11}$ modes. Using the proposed structures, nine independent modes can propagate in a fiber. We use a fully vectorial finite-element method to estimate effective index, chromatic dispersion, differential group delay (DGD), and confinement loss by controlling the parameters of the TMC-HOF structure. We confirm that the proposed TMC-HOF shows flattened chromatic dispersion, low DGD, low confinement loss, low core-to-core crosstalk, and low crosstalk between adjacent modes. The proposed TMC-HOF can provide a common platform for MDM and SDM applications.

• Korean Journal of Mathematics
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• 제28권3호
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• pp.405-419
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• 2020

The zeroth-order general Randić index ⁰R_α(G) of the graph G is defined as ∑_u∈V(G)d(u)^α, where d(u) is the degree of vertex u and α is an arbitrary real number. In this paper, the maximum value of zeroth-order general Randić index on the graphs of order n with a given clique number is presented for any α ≠ 0, 1 and α ∉ (2, 2n-1], where n = |V (G)|. The minimum value of zeroth-order general Randić index on the graphs with a given clique number is also obtained for any α ≠ 0, 1. Furthermore, the corresponding extremal graphs are characterized.

• 전자공학회논문지CI
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• 제45권3호
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• pp.149-159
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• 2008

참조 영상을 이용하여 영상의 분위기를 전환하고자 할 때, 영상의 분위기에 영향을 주는 요소 중 하나인 색을 이용하여 영상이 가지는 분위기를 변환한다. 색을 변환할 때, 국부적인 색상의 특징을 반영하기 위해 입력 영상의 화소에 대하여 색인을 하는데 낮은 채도 상에서는 색상의 식별력 저하로 인해 부적절한 색인의 색상 항목으로 색인이 되는 문제가 발생한다. 따라서 본 논문에서는 유채색과 무채색을 분리하여 처리함으로써, 낮은 채도 상에서의 잘못된 색인이 일어나지 않도록 제한하는 기법을 제안한다. 제안하는 기법은 채도의 문턱치를 이용하여 유채색과 무채색을 구분하는 단계, 구분된 화소들을 실린드리컬 거리(Cylindrical metric)를 이용하여 11가지 색상 항목(Index color)으로 색인을 하는 단계, 각 색상 항목의 우선순위 결정하고 평균과 표준편차를 구하는 단계, 마지막으로 Lab 색 공간에서 색을 변환하고 영상의 잡음과 의사 윤곽선(pseudo-contour)을 제거하기 위한 후처리 단계의 4단계로 구성된다. 실험결과를 통해 제안하는 기법은 낮은 채도 상에서도 유채색과 무채색이 잘 분리되어 색인이 되었으며 원본 영상의 색이 참조 영상의 색으로 자연스럽게 변환된 결과를 얻을 수 있음을 확인하였다.

• Journal of the Optical Society of Korea
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• 제20권6호
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• pp.733-738
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• 2016

We calculate optical properties of guided modes of a hybrid-guiding photonic crystal fiber. The design and modeling of such hybrid-guiding PCF is made by replacing air holes with inserts of high refractive index material layer by layer in order. The optical properties such as mode intensity profile, mode dispersion, optical birefringence, confinement loss, and chromatic dispersion during transition of the guiding mechanism are analyzed and discussed. The guided modes in the hybrid-guiding region are also compared with those of reference index-guiding and bandgap-guiding photonic crystal fibers.

• 대한수학회지
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• 제48권1호
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• pp.105-115
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• 2011

Let f be a function which assigns a positive integer f(v) to each vertex v $\in$ V (G), let r, s and t be non-negative integers. An f-coloring of G is an edge-coloring of G such that each vertex v $\in$ V (G) has at most f(v) incident edges colored with the same color. The minimum number of colors needed to f-color G is called the f-chromatic index of G and denoted by ${\chi}'_f$(G). An [r, s, t; f]-coloring of a graph G is a mapping c from V(G) $\bigcup$ E(G) to the color set C = {0, 1, $\ldots$; k - 1} such that |c($v_i$) - c($v_j$ )| $\geq$ r for every two adjacent vertices $v_i$ and $v_j$, |c($e_i$ - c($e_j$)| $\geq$ s and ${\alpha}(v_i)$ $\leq$ f($v_i$) for all $v_i$ $\in$ V (G), ${\alpha}$ $\in$ C where ${\alpha}(v_i)$ denotes the number of ${\alpha}$-edges incident with the vertex $v_i$ and $e_i$, $e_j$ are edges which are incident with $v_i$ but colored with different colors, |c($e_i$)-c($v_j$)| $\geq$ t for all pairs of incident vertices and edges. The minimum k such that G has an [r, s, t; f]-coloring with k colors is defined as the [r, s, t; f]-chromatic number and denoted by ${\chi}_{r,s,t;f}$ (G). In this paper, we present some general bounds for [r, s, t; f]-coloring firstly. After that, we obtain some important properties under the restriction min{r, s, t} = 0 or min{r, s, t} = 1. Finally, we present some problems for further research.

• 한국광학회지
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• 제15권3호
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• pp.268-273
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• 2004

종광선구면수차를 목표값으로 최적화하여 가변동공을 가지는 정밀모형안을 설계하였다. 설계된 모형안에서 종광선구면수차를 이론적으로 동공직경 1 mm에서 8 mm까지 도식화하고, 다른 모형안의 값들과 비교하였다. 또한 파장에 따른 종광선색수차를 계산하고, 다른 값들과 대조하였다. 정밀모형안에서 얻은 유효초점거리 15.842 mm를 사용하여 환산모형안의 광학상수를 결정하였다. 환산모형안의 광학상수들은 등가굴절능 63.12 Diopter, 환산면 곡률반경 5.281 mm, 굴절률 1.33333, 안축길이 21.123 mm이다.

• Journal of the Optical Society of Korea
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• 제15권2호
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• pp.132-139
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• 2011

We investigate theoretically the combined effect of fiber chromatic dispersion and self-phase modulation (SPM) on multi-channel subcarrier multiplexed (SCM) optical transmission systems in terms of the detected RF carrier power and SPM-induced power gain after transmission over single-mode fiber (SMF) links. According to the calculated power gain due to the SPM effect at the transmission distance of P3dB using the detected radio-frequency (RF) carrier power after photo-detection, the power gain is significantly degraded with large optical modulation index (OMI), small SCM channel spacing, and large fiber launching power because of the increased interaction between subcarrier channels. The nonlinear phase shift due to linear and nonlinear fiber characteristics is investigated to explain these results in detail. The numerical simulation results show that the OMI per SCM channel has to be smaller than 10 % for the fiber launching power of 10 dBm to guarantee prevention of SPM-induced power gain degradation below 0.5 dB for the SCM system with the channel spacing of 100 MHz. This result is expected to be utilized for the optical transmission systems using the SCM technology in future radio-over-fiber (RoF) networks.

• 한국방송∙미디어공학회:학술대회논문집
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• 한국방송공학회 2013년도 하계학술대회
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• pp.16-19
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• 2013

화이트 밸런스를 유지해야 하는 이유는 입력 이미지의 컬러 밸런스와 동질의 화질 유지를 위하거나, 혹은 이미지를 개선할 때 화질 균일 성을 유지하기 위함이다. 그러나 기존 컬러 개선 방식들은 화이트 밸런스 보존에 관계없이 컬러 개선이 이루어지기 때문에 컬러 개선 전과 후의 화이트 밸런스가 다르게 나타난다. 이 논문에서는 색 순응 변환을 이용하여 화이트 밸런스를 보존하면서 자연스러운 컬러 이미지 개선 및 컬러 측정 알고리즘을 제안한다. 그 결과는 제안된 알고리즘은 Color Naturalness Index 와 Color Colorful Index 라고 풀리는 객관적 방법뿐만 아니라 주관적인 방법 에서도 개선됨을 확인하였다. 알고리즘의 복잡도는 낮으므로 현실 어플리케이션에서도 유용하게 이용될 것이다.

• Current Optics and Photonics
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• 제1권6호
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• pp.613-617
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• 2017

Due to optimal advances such as chromatic performance, durability, low power consumption, high efficiency, long-lifetime, and excellent environmental friendliness, white LEDs (WLEDs) are widely used in vehicle front lighting, backlighting, decorative lighting, street lighting, and even general lighting. In this paper, the remote packaging WLEDs (RP-WLEDs) with bi-layer red-emitting $Sr_2Si_5N_8:Eu^{2+}$ and yellow-emitting YAG:Ce phosphor was proposed and investigated. The simulation results based on the MATLAB software and the commercial software Light Tools indicated that the color rendering index (CRI) of bi-layer phosphor RP-WLEDs had a significant increase. The CRI had a considerable increase from 72 to 94. In conclusion, the results showed that bi-layer red-emitting $Sr_2Si_5N_8:Eu^{2+}$ and yellow-emitting YAG:Ce phosphor could be a prospective approach for manufacturing RP-WLEDs with enhanced optical properties.

• Journal of the Optical Society of Korea
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• 제19권1호
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• pp.1-6
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• 2015

We investigate the propagation characteristics of a pulse laser in a time-of-flight laser range finder (TOF-LRF) system with variations in atmospheric conditions, such as temperature, pressure, relative humidity, and the concentration of $CO_2$. The measurement error of distance related with the group velocity change in the TOF-LRF system is analyzed by considering the refractive index of the standard atmosphere with variations in atmospheric conditions. The dependence of the pulse width broadening induced by chromatic dispersion of the standard atmosphere on the operating wavelength and the initial pulse width of the light sources is discussed. The transmission of air with variations in the relative humidity or the concentration of $CO_2$ is analyzed by using different values of absorption coefficients depending on the operation wavelength of the light source in the TOF-LRF system.