• Title/Summary/Keyword: FDTD Method

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A Simple Method to Reduce the Splitting Error in the LOD-FDTD Method

  • Kong, Ki-Bok;Jeong, Myung-Hun;Lee, Hyung-Soo;Park, Seong-Ook
    • Journal of electromagnetic engineering and science
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    • v.9 no.1
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    • pp.12-16
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    • 2009
  • This paper presents a new iterative locally one-dimensional [mite-difference time-domain(LOD-FDTD) method that has a simpler formula than the original iterative LOD-FDTD formula[l]. There are fewer arithmetic operations than in the original LOD-FDTD scheme. This leads to a reduction of CPU time compared to the original LOD-FDTD method while the new method exhibits the same numerical accuracy as the iterative ADI-FDTD scheme. The number of arithmetic operations shows that the efficiency of this method has been improved approximately 20 % over the original iterative LOD-FDTD method.

Dispersion Analysis of the Waveguide Structures by Using the Compact 2D ADI-FDTD (Compact 2D ADI-FDTD를 이용한 도파관 구조의 분산특성 연구)

  • 어수지;천정남;박현식;김형동
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.39 no.10
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    • pp.38-45
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    • 2002
  • This paper presents the new Compact 2D ADI-FDTD(Alternating-Direction Implicit Finite-Difference Time-Domain) method, where the time step is no longer restricted by the numerical stability condition. This method is an accelerating algorithm for the conventional Compact 2D FDTD method. To validate this algorithm, we have analyzed the dispersion characteristics of the hollow rectangular waveguide and the shielded microstrip line. The results of the proposed method are very well agreed with those of both the conventional analytic method and the Compact 2D FDTD method. The CPU time for analysis of this method is very much reduced compared with the conventional Compact 2D FDTD method. The proposed method is valuable as a fast algorithm in the research of dispersion characteristics of the waveguide structures.

Analysis of a Suspended Stripline using FDTD Method and Design of Suspended Stripline Filter (유한차분 시간영역법을 이용한 Suspended Stripline 해석 및 필터 설계)

  • 남윤권;박동철
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.13 no.6
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    • pp.605-611
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    • 2002
  • A simple and efficient analysis method of the suspended stripline using the finite-difference time-domain (FDTD) method is presented. New FDTD equations are derived using the contour path FDTD concept for the Yee cell which contains a dielectric sheet. The characteristic impedance and the effective dielectric constant of the suspended stripline are calculated using our proposed FDTD method. Using the calculated results, a 5-element lowpass filter is designed and fabricated. Our proposed FDTD method is validated by the measured data of the fabricated lowpass filter.

The improved FDTD algorithm for modeling of a smooth cured surface (완만한 곡면의 마들링을 위한 개선된 FDTD 앨거리즘)

  • 길병수;이상설
    • Proceedings of the IEEK Conference
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    • 1999.11a
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    • pp.143-146
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    • 1999
  • The traditional FDTD method in the stair case, the CP-FDTD method, the modified CP-FDTD method, and Dey method have been developed to analyze smooth-curved- surface structures. These methods have some disadvantages such as inaccuracy of the stair-case FDTD, instability of the modified CP-FDTD, and complexity of Dey method. The improved algorithm presented here is a mixed-form of the modified CP algorithm and Dey algorithm. It is to avoid collinear borrowing approximations and to manipulate field update equations. All of preceding methods are applied to the E-plane sectoral horn antenna to get far-field patterns. The validity and applicability of the presented one is to be shown by comparing computed far-field patterns with measured values.

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Numerical Dispersion Relation for the 2-D ADI-FDTD Method (2-D ADI-FDTD의 수치적 분산특성에 관한 연구)

  • 주세훈;김형동
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.40 no.5
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    • pp.181-186
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    • 2003
  • This paper presents a numerical dispersion relation for the two-dimensional finite-difference time-domain method based on the alternating-direction implicit time-marching scheme(2-D ADI-FDTD), which method has the potential to considerably reduce tile number of time iterations especially in case where the fine spatial lattice relative to the wavelength is used to resolve fine geometrical features. The proposed analytical relation for 2-D ADI-FDTD is compared with those relations in the Previous works. Through numerical tests, the dispersion equation of this work was shown as correct one for 2-D ADI-FDTD.

Analysis of Stability Condition and Wideband Characteristics of 3D Isotropic Dispersion(ID)-FDTD Algorithm (3차원 ID-FDTD 알고리즘의 Stability Condition과 광대역 특성 분석)

  • Kim, Woo-Tae;Koh, Il-Suek;Yook, Jong-Gwan
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.4
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    • pp.407-415
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    • 2011
  • The stability condition and wideband characteristics of 3D ID-FDTD algorithm which has low dispersion error with isotropic dispersion are presented in this paper. 3D ID-FDTD method was proposed to improve the defect of the Yee FDTD such as the anisotropy and large dispersion error. The published paper calculated the stability condition of 3D ID-FDTD algorithm by using numerical method, however, it is thought that the examples were not sufficient to verify the stability condition. Thus, in this paper, various simulations are included in order to hold reliability under the conditions that the plane wave propagation is assumed with a single frequency and a wideband frequency. Also, the 3D ID-FDTD algorithm is compared to those that have the similar FDTD algorithm with ID-FDTD such as Forgy's method and non-standard FDTD method in a wideband. Finally, the radar cross section(RCS) for the large sphere with high dielectric constant is calculated.

Optimization of Extremely Low Numerical-Dispersion FDTD Method Based on H(2,4) Scheme for Wideband Analysis of Lossy Dielectric (H(2,4) 기법을 기반으로 한 저분산 FDTD 기법의 손실 매질의 광대역 해석을 위한 최적화 방법)

  • Oh, Ilyoung
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.29 no.3
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    • pp.225-232
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    • 2018
  • This paper proposed the optimization method of the extremely low numerical-dispersion finite-difference time-domain (ELND-FDTD) method based on the H(2,4) scheme for wideband and extremely accurate electromagnetic properties of lossy material, which has a constant conductivity and relative permittivity. The optimized values of three variables are calculated for the minimum numerical dispersion errors of the proposed FDTD method. The excellent accuracy of the proposed method is verified by comparing the calculated results of three different FDTD methods and the analytical results of the two-dimensional dielectric cylinder scattering problem.

Analysis of the Cylindrical Metamaterial Slab Using the Higher Order-mode Finite Difference Time Domain Method (고차모드 시간영역 유한차분법을 이용한 원통형 메타물질 Slab의 해석)

  • Hong, Ic-Pyo
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.14 no.1
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    • pp.38-44
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    • 2010
  • In this paper, the higher order FDTD(Finite-Difference Time-Domain) method is used to obtain the frequency response characteristics of the cylindrical metamaterial slab. FDTD method is one of strongest electromagnetic numerical method which is widely used to analyze the metamaterial structure because of its simplicity and the dispersive FDTD equation which has the dispersive effective dielectric constant and permeability are derived to analyze the metamaterials. This derived dispersive FDTD equation has no errors in analyzing the dielectric materials but there are some time and frequency errors in case of analyzing the metamaterials. We used the higher order FDTD method to obtain the accurate frequency response of the metamaterials. Comparisons between the dispersive FDTD method and the higher order FDTD method are performed in this paper also. From the results, we concluded that more accurate frequency response for various metamaterials applications can be obtained using the proposed method in this paper.

Reduction Method of Anisotropy Error in Two Dimensional ADI-FDTD Method (2차원 ADI-FDTD 수치해석에서 이방성 오차의 감소방안)

  • Kim, Jong-Sung;Kong, Ki-Bok
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.44 no.10
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    • pp.178-184
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    • 2007
  • A new adaptive alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method is proposed to obtain isotropic wave propagation for all directional angles. We add the square terms of time-step multiplied by the spatial derivatives of x and y as a perturbed term to the conventional ADI-FDTD and can find the optimization coefficient of square terms of time-step to generate the minimum anisotropy. The new ADI-FDTD is also stable, even when its time-step is greater than the Courant-Friedrich-Levy (CFL) limit. The characteristic equation of the dispersion relation governing the new method is derived and compared with the theoretical and numerical results for the conventional ADI-FDTD and perturbed ADI-FDTD methods.

An Alternating Implicit Block Overlapped FDTD (AIBO-FDTD) Method and Its Parallel Implementation

  • Pongpaibool, Pornanong;Kamo, Atsushi;Watanabe, Takayuki;Asai, Hideki
    • Proceedings of the IEEK Conference
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    • 2002.07a
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    • pp.137-140
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    • 2002
  • In this paper, a new algorithm for two-dimensional (2-D) finite-difference time-domain (FDTD) method is presented. By this new method, the maximum time step size can be increased over the Courant-Friedrich-Levy (CFL) condition restraint. This new algorithm is adapted from an Alternating-Direction Implicit FDTD (ADI-FDTD) method. However, unlike the ADI-FDTD algorithm. the alternation is performed with respect to the blocks of fields rather than with respect to each respective coordinate direction. Moreover. this method can be efficiently simulated with parallel computation. and it is more efficient than the conventional FDTD method in terms of CPU time. Numerical formulations are shown and simulation results are presented to demonstrate the effectiveness and efficiency of our proposed method.

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