• Title/Summary/Keyword: Fourier-Galerkin Moment Method

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Solution of TE Scattering by a Perfectly Conducting Strip Grating Over the Grounded Two Dielectric Layers Applying Fourier-Galerkin Moment Method (Fourier-Galerkin Moment Method를 이용한 접지된 2개 유전체층 위의 완전도체띠 격자구조에 의한 TE 산란의 해)

  • Yoon, Uei-Joong
    • Journal of Advanced Navigation Technology
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    • v.16 no.4
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    • pp.635-640
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    • 2012
  • In this paper, The TE (Transverse Electric) scattering problems by a perfectly conducting strip grating over a grounded two dielectric layers are analyzed by applying the conductive boundary condition and the FGMM (Fourier-Galerkin Moment Method) known as a numerical procedure, then the induced surface current density is expanded in a series of the multiplication of the unknown coefficient and the exponential function as a simple function. Generally, the reflected power gets increased according as the relative permittivity ${\epsilon}_{r2}$ and the thickness of dielectric layer $t_2$ of the region-2 in the presented structure gets increased, respectively. The sharp variations of the reflected power are due to resonance effects were previously called wood's anomaly, the numerical results show in good agreement with those of the existing papers.

Analysis of TE Scattering by a Resistive Strip Grating Over a Grounded Dielectric Layer Using Point Matching Method (Point Matching Method를 이용한 접지된 유전체층 위의 저항띠 격자구조에 의한 TE 산란 해석)

  • Yoon, Uei-Joong
    • Journal of Advanced Navigation Technology
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    • v.18 no.4
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    • pp.371-375
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    • 2014
  • In this paper, the solutions of TE(transverse electric) scattering problems by a resistive strip grating over a grounded dielectric layer are analyzed by applying the PMM(point matching method) known as a numerical method of electromagnetic fileld. The boundary conditions are applied to obtain the unknown field coefficients and the resistive boundary condition is used for the relationship between the tangential magnetic field and the induced surface current density on the resistive strip. The induced surface current density of resistive strip is obtained by difference of the up and down of the magnetic field in two boundary areas of the resistive strip. The numerical results for reflected power of zeroth order mode analyzed by according as the resistivity, the width and spacing of resistive strip, the relative permittivity and thickness of dielectric layer, and incident angles. The numerical results shown in good agreement compared to those of the existing papers using FGMM(fourier galerkin moment method).

A Study on TE Scattering by a Conductive Strip Grating Over a Dielectric Layer (유전체층 위의 완전도체띠 격자구조에 의한 TE 산란에 관한 연구)

  • Yoon, Uei-Joong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.6
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    • pp.4158-4163
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    • 2015
  • In this paper, the solutions of TE(transverse electric) scattering problems by a condutive strip grating over a dielectric layer are analyzed by using the FGMM(fourier galerkin moment method) and PMM(point matching method) known as a numerical method of electromagnetic fileld. The scattered electromagnetic fields are expanded in a series of floguet mode functions, the boundary conditions are applied to obtain the unknown field coefficients, and the conductive boundary condition is used for the relationship between the tangential electric field and the induced surface current density on the strip. The numerical results for the reflected and transmitted power of zeroth mode analyzed by according as the width and spacing of conductive strip, the relative permittivity and thickness of dielectric layer, and incident angles. Generally, according to the relative permittivity of dielectric layer increased, also the normalized reflected power of zeroth mode increased. To examine the accruacy of this paper, the numerical results of FGMM shown in good agreement compared to those of PMM.

A Study on TE Scattering by a Conductive Strip Grating Over Grounded Two Dielectric Layers (접지된 2개 유전체층 위의 완전도체띠 격자구조에 의한 TE 산란에 관한 연구)

  • Yoon, Uei-Joong
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.15 no.2
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    • pp.65-70
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    • 2015
  • In this paper, the solutions of TE (transverse electric) scattering problems by a conductive strip grating over grounded two dielectric layers are analyzed by applying the PMM (point matching method) known as a numerical method of electromagnetic fileld. The boundary conditions are applied to obtain the unknown field coefficients, the scattered electromagnetic fields are expanded in a series of Floquet mode functions, and the conductive boundary condition apply to analysis of conducting strip. The most normalized reflected powers of the sharp variations in minimum values are scattered in direction of the other angles except incident angle. The numerical results for normalized reflected power are analyzed by according as the width and spacing of conductive strip, the relative permittivity and thickness of the two dielectric layers, and incident angles. The numerical results of present numericl analysis are shown in good agreement compared to those of the existing papers using FGMM (fourier galerkin moment method).

Solution of the TE Scattering by a Resistive Strip Grating Over Grounded Dielectric Plane with Edge Boundary Condition (모서리 경계조건을 만족하는 접지된 유전체평면위의 저항띠 격자구조에 의한 TE 산란의 해)

  • Yoon, Uei-Joong
    • Journal of Advanced Navigation Technology
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    • v.11 no.2
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    • pp.196-202
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    • 2007
  • In this paper, The TE(transverse electric) scattering problems by a resistive strip grating over a grounded dielectric plane with edge boundary condition are analyzed by applying the FGMM(Fourier-Galerkin Moment Method) known as a numerical procedure. For a TE scattering problem, the induced surface current density is expected to the zero value at both edges of the resistive strip, then the induced surface current density on the resistive strip is expanded in a series of the multiplication of Gegenbauer(Ultraspherical) polynomials with the first order and functions of appropriate edge boundary condition. To verify the validity of the proposed method, the numerical results of normalized reflected power for the uniform resistivity R = 100 ohms/square and R = 0 as a conductive strip case show in good agreement with those in the existing papers.

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Solution of TE Scattering by a Resistive Strip Grating Over Grounded Dielectric Multilayers (접지된 다층 유전체위의 저항띠 격자구조에 의한 TE 산란의 해)

  • Yoon Uei-Joong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.9A
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    • pp.913-919
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    • 2006
  • In this paper, TE(transverse electric) scattering problems by a resistive strip grating over grounded dielectric multilayers according to the strip width and grating period, the relative permittivity and thickness of dielectric multilayers, and incident angles of a TE plane wave are analyzed by applying the FGMM(Fourier-Galerkin Moment Method) known as a numerical procedure. The induced surface current density is simply expanded in a Fourier series by using the exponential function as a simple function. Generally, the relected power gets increased according as the relative permittivity and thickness of dielectric multilayers gets increased, the sharp variations of the reflected power are due to resonance effects that take place and were previously called wood's anomallies$^{[7]}$. To verify the validity of the proposed method, the numerical results of normalized reflected power for the uniform resistivity R = 0 as a conductive strip case show in good agreement with those in the existing paper.

Solution of TM Scattering Applying FGMM and PMM for Resistive Strip Grating Between a Grounded Double Dielectric Layer (접지된 2중 유전체층 사이의 저항띠 격자에 대해 FGMM과 PMM을 적용한 TM 산란 해)

  • Uei-Joong Yoon
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.23 no.3
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    • pp.77-82
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    • 2023
  • In this paper, TM(tranverse magnetic) electromagnetic scattering problems for resitive strip grating between grounded double dielectric layers are analyzed by using the FGMM(fourier galerkin moment method) and PMM(point matching method) known as a numerical method of electromagnetic field. The boundary conditions are applied to obtain the unknown field coefficients, the resistive boundary condition is applied to analysis of resistive strip. Overall, when the unoform resistivity decreased, the magnitude of the current density induced in the resistive strip increased, and the reflected power also increased. Also, as the thickness and relative permittivity of the double dielectric layers increased, the overall reflected power increased. The numerical results obtained by using the numerical methods of FGMM and PMM to the structure proposed in this paper agree very well.

Fast Convergent Solution of TM Scattering by Conducting Strip Grating on Two Dielectric Layers (2개 유전체층 위의 완전도체띠 격자구조에 의한 TM 산란의 급속한 수렴 해)

  • Yoon, Ueil-Joong
    • Journal of Advanced Navigation Technology
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    • v.18 no.1
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    • pp.78-83
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    • 2014
  • In this paper, the solutions of TM (transverse magnetic) scattering problems by perfectly conducting strip grating on two dielectric layers are analyzed by applying the FGMM (Fourier Galerkin moment method) as a numerical method. For the TM scattering problem, the induced surface current density is expected to the very high value at both edges of the strip, then the induced surface current density on the strip is expanded in a series of the multiplication of the functions of appropriate edge boundary condition and the Chebyshev polynomials of the first kind. The numerical results are obtained for the magnitude of induced current density, the normalized reflected power and transmitted power. The numerical results using proposed functions were improved the convergence faster than existing exponential functions, and the numerical results shown the good agreement compared to those of the existing papers.

Solution of TE Scattering by a Conductive Strip Grating Over the Grounded Two Dielectric Layers with Edge Boundary Condition (모서리 경계조건을 만족하는 접지된 2개 유전체층 위의 도체띠 격자구조에 의한 TE 산란의 해)

  • Yoon, Uei-Joong
    • Journal of Advanced Navigation Technology
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    • v.17 no.2
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    • pp.183-188
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    • 2013
  • In this paper, the TE (Transverse Electric) scattering problems by a perfectly conducting strip grating over a grounded two dielectric layers with edge boundary condition are analyzed by applying the FGMM (Fourier Galerkin Moment Method). For the TE scattering problem, the induced surface current density is expected to the zero value at both edges of the strip, then the induced surface current density on the strip is expanded in a series of the multiplication of the Chebyshev polynomials of the second kind and the functions of appropriate edge boundary condition. The numerical results shown the fast convergent solution and good agreement compared to those of the existing papers.

Analysis of the TE Scattering by a Resistive Strip Grating Over a Grounded Dielectric Plane (접지된 유전체 평면위의 저항띠 격자구조에 의한 TE 산란 해석)

  • Yoon, Uei-Joong
    • Journal of Advanced Navigation Technology
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    • v.10 no.3
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    • pp.198-204
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    • 2006
  • In this paper, TE(transverse electric) scattering problems by a resistive strip grating on a grounded dielectric plane according to the strip width and grating period, the relative permittivity and thickness of dielectric layer, and incident angles of a TE plane wave are analyzed by applying the FGMM(Fourier-Galerkin Moment Method) known as a numerical procedure. The induced surface current density is simply expanded in a Fourier series by using the exponential function as a simple function. The reflected power gets increased according as the relative permittivity and thickness of dielectric multilayers gets increased, the sharp variations of the reflected power are due to resonance effects were previously called wood's anomallies[7]. To verify the validity of the proposed method, the numerical results of normalized reflected power for the uniform resistivity R = 0 as a conductive strip case show in good agreement with those in the existing paper.

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