• Title/Summary/Keyword: graded index

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Generation of Graded Index Profile of Poly(methyl methacrylate) by a Photochemical Reaction

  • Yun, Hyun-Chu;Im, Sang-Hyuk;Suh, Duck-Jong;Park, O-Ok;Kwon, Moo-Hyun
    • Macromolecular Research
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    • v.11 no.4
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    • pp.236-240
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    • 2003
  • Fabrication of a graded index profile was possible via photochemical reaction of cinnamoyl groups with 350 nm wavelength UV light to form crosslinked structures. Such structural change may induce the change in the refractive index. In order to generate graded index profile in the PMMA polymer optical fiber (POF) with cinnamoyl groups by photochemistry, a methyl methacrylate monomer containing a cinnamoyl functional group in the side chain were prepared. This monomer was then copolymerized with methyl methacrylate with various compositions not only to utilize advantages of poly(methyl methacrylate) but also to overcome the drawbacks of the cinnamate homopolymer. Changes of refractive indices were investigated with various contents of cinnamoyl group and varying irradiation time. Large change in the refractive index (${\Delta}{\approx}0.01$) and its proper profile shape ($g{\approx}2.2$) can be obtained by changing irradiation time.

Elastic solution of a curved beam made of functionally graded materials with different cross sections

  • Arefi, Mohammad
    • Steel and Composite Structures
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    • v.18 no.3
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    • pp.659-672
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    • 2015
  • This research deals with the analytical solution of a curved beam with different shapes made of functionally graded materials (FGM's). It was assumed that modulus of elasticity is graded along the thickness direction of curved beam based on a power function. The beam was loaded under pure bending. Using the linear theory of elasticity, the general relation for radial distribution of radial and circumferential stresses of arbitrary cross section was derived. The effect of nonhomogeneity was considered on the radial distribution of circumferential stress. This behavior can be investigated for positive and negative values of nonhomogeneity index. The novelty of this study is application of the obtained results for different combination of material properties and cross sections. Achieved results indicate that employing different nonhomogeneity index and selection of various types of cross sections (rectangular, triangular or circular) can control the distribution of radial and circumferential stresses as designer want and propose new solutions by these options. Increasing the nonhomogeneity index for positive or negative values of nonhomogeneity index and for various cross sections presents different behaviors along the thickness direction. In order to validate the present research, the results of this research can be compared with previous result for reachable cross sections and non homogeneity index.

Vibrations and thermal stability of functionally graded spherical caps

  • Prakash, T.;Singh, M.K.;Ganapathi, M.
    • Structural Engineering and Mechanics
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    • v.24 no.4
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    • pp.447-461
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    • 2006
  • Here, the axisymmetric free flexural vibrations and thermal stability behaviors of functionally graded spherical caps are investigated employing a three-noded axisymmetric curved shell element based on field consistency approach. The formulation is based on first-order shear deformation theory and it includes the in-plane and rotary inertia effects. The material properties are graded in the thickness direction according to the power-law distribution in terms of volume fractions of the constituents of the material. The effective material properties are evaluated using homogenization method. A detailed numerical study is carried out to bring out the effects of shell geometries, power law index of functionally graded material and base radius-to-thickness on the vibrations and buckling characteristics of spherical shells.

Dynamic instability of functionally graded material plates subjected to aero-thermo-mechanical loads

  • Prakash, T.;Ganapathi, M.
    • Structural Engineering and Mechanics
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    • v.20 no.4
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    • pp.435-450
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    • 2005
  • Here, the dynamic instability characteristics of aero-thermo-mechanically stressed functionally graded plates are investigated using finite element procedure. Temperature field is assumed to be a uniform distribution over the plate surface and varied in thickness direction only. Material properties are assumed to be temperature dependent and graded in the thickness direction according to simple power law distribution. For the numerical illustrations, silicon nitride/stainless steel is considered as functionally graded material. The aerodynamic pressure is evaluated based on first-order high Mach number approximation to the linear potential flow theory. The boundaries of the instability region are obtained using the principle of Bolotin's method and are conveniently represented in the non-dimensional excitation frequency-load amplitude plane. The variation dynamic instability width is highlighted considering various parameters such as gradient index, temperature, aerodynamic and mechanical loads, thickness and aspect ratios, and boundary condition.

Analysis of Hollow Optical Fiber with Graded-Index Profile (언덕형 Hollow Optical Fiber의 전계 해석)

  • Pee, Joong-Ho;Jeong, Woo-Jin;Kim, Chang-Min
    • Korean Journal of Optics and Photonics
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    • v.17 no.6
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    • pp.493-499
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    • 2006
  • Arbitrary graded-index HOF(Hollow Optical Fibers) are analyzed using the modified Airy function, and the corresponding eigenvalue equation that renders precise results is derived. For graded index HOF, the gradient of an evanescent field in hollow region could be adjusted more sharply than the conventional step-index HOF and the feasibility of more effective atom-guiding is confirmed.

Nondestructive Optical Measurement of Refractive-index Profile of Graded-index Lenses

  • Lee, Byoung-Hwak;Shin, Nae-Ho;Jeong, Kwan;Park, Myoung-Jin;Kim, Byung-Gyu;Yoo, Jang-Hoon;Kim, Dae-Geun;Yun, Ki-Hyuck;Lee, Kew-Seung;Kim, Kyung-Hwan;Kim, Dae-Kyu;Park, Seung-Han
    • Journal of the Optical Society of Korea
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    • v.13 no.4
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    • pp.468-471
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    • 2009
  • We propose a simple nondestructive method to obtain refractive-index profiles of a graded-index (GRIN) light-focusing rod by means of a diffraction grating. In our proposed method, a laser beam is illuminated through a diffraction grating perpendicular to the axis of the GRIN lens and the separation between the zeroth and first-order diffraction peaks is measured and analyzed. The results demonstrate that the refractive-index profiles of commercially available GRIN lenses can be successfully reconstructed.

The Study on the Antireflection(AR) Coating Design Scheme According to the Index Profile in the Thin-Film Silicon Solar Cell (굴절률 분포에 따른 박막 실리콘 태양전지 반사방지막 설계기술 연구)

  • Kim, Chang-Bong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.9
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    • pp.4139-4145
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    • 2012
  • This paper shows an antireflection coating design skill for utilization the thin-film silicon solar cell in the future. The reflectivity of each index profile previously suggested as linear, cubic and quintic function has been calculated and compared. Each index profile is applied to the antireflection coating consisting of 6 layers with 180nm thickness. Also we suggest the graded index profile and compare it's reflectivity to the linear, cubic and quintic's ones. As a results we find the reflectivity generally decreases as the order goes to higher. However the reflectivity in the graded index profile shows the higher(lower) value than ones in the linear, cubic and quintic especially in the shorter(longer) wavelength range from 500 nm to below 700 nm(above 700 nm to 800 nm). Therefore we find that the graded index profile structure could be applied for the better antireflection coating design scheme especially for optical device and optical filter in the range of from deep red to infrared.

Light Propagation in Multimode GRIN(graded-index) Fibers with Intrusion Sensing Capability (침입 감지기능을 가진 다중모드 GRIN(graded-index) 광섬유 내에서의 광파의 전파)

  • Sohn, Young-Ho
    • Journal of Sensor Science and Technology
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    • v.11 no.5
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    • pp.273-278
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    • 2002
  • An intrusion-sensitive capability of multimode graded-index (GRIN) optical fibers under bending has been investigated. In this system, the data light is transmitted in the fundamental mode while alarm monitor light is launched in a high-order mode at the same time. An attempted intrusion to drain data by bending the fiber results in greater attenuation of a monitor signal in higher order modes, thereby setting off an alarm at the receiver. Light propagation in a multimode graded-index fiber is also analyzed theoretically when the fundamental mode is selectively excited and the fiber is bent around a constant radius mandrel. The bending generates coupling between the various modes of the fiber. Power transitions of the fundamental mode by changing the bending radius were also analyzed numerically using program simulation. It is shown that Asawa-Taylor model[4] is valid up to 1cm of the radius of curvature of the fiber bend.

Improving the Light Extraction Efficiency of GRIN Coatings Pillar Light Emitting Diodes

  • Moe, War War;Aye, Mg;Hla, Tin Tin
    • Korean Journal of Materials Research
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    • v.32 no.6
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    • pp.293-300
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    • 2022
  • This study investigated a graded-refractive-index (GRIN) coating pattern capable of improving the light extraction efficiency of GaN light-emitting diodes (LEDs). The planar LEDs had total internal reflection thanks to the large difference in refractive index between the LED semiconductor and the surrounding medium (air). The main goal of this paper was to reduce the trapped light inside the LED by controlling the refractive index using various compositions of (TiO2)x(SiO2)1-x in GRIN LEDs consisting of five dielectric layers. Several types of multilayer LEDs were simulated and it was determined the transmittance value of the LEDs with many layers was greater than the LEDs with less layers. Then, the specific ranges of incident angles of the individual layers which depend on the refractive index were evaluated. According to theoretical calculations, the light extraction efficiency (LEE) of the five-layer GRIN is 25.29 %, 28.54 % and 30.22 %, respectively. Consequently, the five-layer GRIN LEDs patterned enhancement outcome LEE over the reference planar LEDs. The results suggest the increased light extraction efficiency is related to the loss of Fresnel transmission and the release of the light mode trapped inside the LED chip by the graded-refractive-index.