• Title/Summary/Keyword: Evanescent wave

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Investigation of Importance of Evanescent Modes in Predicting the Transformation of Water Waves by the Linear Wave Theory: 1. Derivation of Equations of Wave Energy (선형파 이론에 의한 파랑변형 예측 시 소멸파 성분의 중요성 검토: 1. 에너지 식 유도)

  • 이창훈;조용식
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.14 no.4
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    • pp.282-285
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    • 2002
  • The magnitude of evanescent modes in terms of dynamics is investigated in case that the transformation of water waves is predicted using the linear wave theory. In other words, derivation is made of both the kinetic and potential wave energies of evanescent modes as welt as propagating modes. The evanescent modes consist of compound components of propagating and evanescent modes, those of identically equal evanescent modes, and those of identically different evanescent modes. The wave energy per a horizontal distance decreases exponentially with the distance.

Measurements of Evanescent Wave using a Mano-size Optical Probe (나노 사이즈 광프로브에 의한 에버네슨트파의 측정)

  • 최영규
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.53 no.1
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    • pp.30-35
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    • 2004
  • We have carried out a basic experiment in order to develope a super high-resolution optical microscope which transcend the limitation of diffraction and the wavelength of lightwave. The image of this scope is composed by measuring the evanescent wave which is localized on the surface of the testing materials. A detecting probe was fabricated with a single mode optical fiber to be sharpened by the chemical etching, and drived by PZT. The standing wave of $0.33\mu\textrm{m}$ wavelength evanescent wave which was generated from the $0.78\mu\textrm{m}$-wavelength semiconductor laser was detected by the $0.5\mu\textrm{m}$-thickness optical fiber probe.

Investigation of Importance of Evanescent Modes in Predicting the Transformation of Water Waves by the Linear Wave Theory: 2. Numerical Experiments (선형파 이론에 의한 파랑변형 예측시 소멸파 성분의 중요성 검토 2. 수치 실험)

  • 이창훈;조대희;조용식
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.15 no.1
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    • pp.51-58
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    • 2003
  • The magnitude of evanescent modes in terms of dynamics it investigated in case that the transformation of water waves is predicted by the linear wave theory. For the waves propagating over two steps, the eigenfunction expansion method is used to predict the amplitudes of reflected and transmitted waves by the component of evanescent modes as well as propagating modes. Then. the relative importance of evanescent modes to the propagating modes is investigated. The numerical experiments find that the evanescent modes are pronounced at the relative water depth of k$_1$h$_1$=0.11$\pi$ and the water depth ratio of h$_2$/h$_1$ close to zero.

Bus-waveguide-width Dependence of Evanescent Wave Coupling in a Microring Resonator

  • Son, Seong-Jin;Kim, Suyeon;Yu, Nan Ei;Ko, Do-Kyeong
    • Current Optics and Photonics
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    • v.5 no.5
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    • pp.538-543
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    • 2021
  • The evanescent wave coupling of a microring resonator is controlled by changing the gap distance between the bus waveguide and the microring waveguide. However, the interdependence of the bus waveguide's width and the coupling is not well understood. In this paper, we investigate the dependence of coupling strength on the bus waveguide's width. The strength of the evanescent wave coupling is analytically calculated using coupled-mode theory (CMT) and numerically calculated by three-dimensional finite-difference-time-domain (FDTD) simulation. The analytic and numerical simulation results show that the phase-matching condition in evanescent wave coupling does not provide maximum coupling strength, because both phase-matching and mode confinement influence the coupling. The analytic and simulation results for the evanescent coupling correspond to the experimental results. The optimized bus-waveguide width that provides maximum coupling strength results in intrinsic quality factors of up to 1.3 × 106. This study provides reliable guidance for the design of microring resonators, depending on various applications.

Propagating and evanescent waves in a functionally graded nanoplate based on nonlocal theory

  • Cancan Liu;Jiangong Yu;Bo Zhang;Xiaoming Zhang;Xianhui Wang
    • Advances in nano research
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    • v.14 no.5
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    • pp.463-474
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    • 2023
  • The purpose of this paper is to present the analysis of propagating and evanescent waves in functionally graded (FG) nanoplates with the consideration of nonlocal effect. The analytical integration nonlocal stress expansion Legendre polynomial method is proposed to obtain complete dispersion curves in the complex domain. Unlike the traditional Legendre polynomial method that expanded the displacement, the presented polynomial method avoids employing the relationship between local stress and nonlocal stress to construct boundary conditions. In addition, the analytical expressions of numerical integrations are presented to improve the computational efficiency. The nonlocal effect, inhomogeneity of medium and their interactions on wave propagation are studied. It is found that the nonlocal effect and inhomogeneity of medium reduce the frequency bandwidth of complex evanescent Lamb waves, and make complex evanescent Lamb waves have a higher phase velocity at low attenuation. The occurrence of intersections of propagating Lamb wave in the nonlocal homogeneous plate needs to satisfy a smaller Poisson's ratio condition than that in the classical elastic theory. In addition, the inhomogeneity of medium enhances the nonlocal effect. The conclusions obtained can be applied to the design and dynamic response evaluation of composite nanostructures.

Study on Analysis of Evanescent Waves Generating the Strong End Axial Vibration of a Finite Cylindrical Shell (유한 원통셸의 큰 끝단 종진동을 발생시키는 감쇠파에 대한 분석 연구)

  • Kil, Hyun-Gwon
    • The Journal of the Acoustical Society of Korea
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    • v.30 no.7
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    • pp.361-367
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    • 2011
  • Propagating waves (flexural, longitudinal and shear waves) travelling with constant amplitudes and evanescent waves decaying exponentially are generated on a cylindrical shell. Evanescent waves are generally generated in the vicinity of an vibration excitation point and near ends of the shell. But the evanescent waves can generates strong axial vibration at the ends of the cylindrical shell. The strong end axial vibration due to those evanescent waves has been observed in an author's previous paper dealing with measurements of the in-plane axial vibration of a finite cylindrical shell. In this paper the strong end axial vibration due to the evanescent waves has been theoretically analyzed. In order to analyze the vibration of the cylindrical shell, wave propagation approach has been implemented. Comparison between theoretical and experimental results for the axial vibration of the shell showed that the strong evanescent wave can be generated due to mode conversion (conversion from flexural wave to evanescent wave) at the ends of cylindrical shell. It also showed that the evanescent wave can generate the strong axial vibration near the ends of the cylindrical shell and that it can have effect even on 1/3 of the total length of the shell.

Enhanced evanescent field force on Mie particles by coupling with surface plasmons (표면 플라즈몬과 결합된 에바네슨트파가 Mie입자에 미치는 광압 분석)

  • Song, Young-Gon;han, Bong-Myung;Chang, Soo
    • Korean Journal of Optics and Photonics
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    • v.12 no.6
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    • pp.437-445
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    • 2001
  • We examine theoretically the properties of the force on Mie particles induced by evanescent fields at a system of multilayer films (including a metal film), at which the surface plasmon resonance is excited by a p-polarized plane electromagnetic wave. An expression of the surface plasmon-coupled evanescent fields produced in Kretschmann (or Sarid) geometry is expanded in terms of vector spherical wave functions, while multiple reflections between the Mie particle and the metal boundary are taken into account. The Cartesian components of the force on Mie particles by the evanescent fields are analytically formulated and numerically evaluated. The force components are increased by one or two orders of magnitude at metal boundaries over those at dielectric boundaries. As a result, we can confirm the possibility of stable manipulation or rotation of a finite-sized object by forces of surface plasmon-coupled evanescent fields.

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Effects of evanescent modes on three-dimensional depression of seabed (3차원 함몰 지형에서 소멸파 성분의 영향)

  • Jung, Tae-Hwa;Kim, Hyung-Joon;Cho, Yong-Sik
    • Journal of Korea Water Resources Association
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    • v.42 no.12
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    • pp.1125-1133
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    • 2009
  • Evanescent modes which are the other solutions of the Laplace equation for the linear dispersion equation may affect the wave transformation especially when a water depth varies abruptly. In this study, the effects of evanescent modes for a three-dimensional depression of seabed are investigated by using the eigenfunction expansion method. A convergence test is first carried out by changing numbers of domains and evanescent modes. The wave transformation for various depressions of seabed is then calculated under condition that the solution of the eigenfunction expansion method is converged.