• The Journal of Korean Institute of Electromagnetic Engineering and Science
• /
• v.19 no.2
• /
• pp.121-129
• /
• 2008

In this paper, we present a fast analysis of multilayer microstrip fractal structure by using the fast multipole method (FMM). In the analysis, accurate spatial green's functions from the real-axis integration method(RAIM) are employed to solve the mixed potential integral equation(MPIE) with FMM algorithm. MoM's iteration and memory requirement is $O(N^2)$ in case of calculation using the green function. the problem is the unknown number N can be extremely large for calculation of large scale objects and high accuracy. To improve these problem is fast algorithm FMM. FMM use the addition theorem of green function. So, it reduce the complexity of a matrix-vector multiplication and reduce the cost of calculation to the order of $O(N^{1.5})$, The efficiency is proved from comparing calculation results of the moment method and Fast algorithm.

• Journal of the Korea Institute of Military Science and Technology
• /
• v.22 no.3
• /
• pp.311-319
• /
• 2019

This paper proposes an acceleration of the multi-level fast multipole algorithm(MLFMA) by using a double interpolation method. The MLFMA has been primarily used to conduct scattering analysis of electrically large targets, e.g. stealth aircraft. In the MLFMA, radiation functions of each basis functions are first precomputed, and then aggregated. After transfer calculations for the aggregations, each interaction is disaggregated, and then received in the testing function. The key idea of the proposed method is to decrease the sampling rates of the radiation and receiving functions. The computational complexity of the unit sphere integration in terms of the testing functions is thus highly alleviated. The remaining insufficient sampling rate is then complemented by using additional interpolation. We demonstrate the performance of the proposed method through radar cross-section(RCS) calculations for realistic aircraft.

• Proceedings of the KIEE Conference
• /
• 2008.10a
• /
• pp.111-112
• /
• 2008

Induced electromagnetic fields of printed circuit board are computed using method of moment. In this calculation PEC and dielectric boards are considered when exposed to the external fields. The volume and surface integral equations are presented for the electromagnetic wave scattering from plate structures composed of dielectric and conducting objects. To reduce the computing time a fast multipole technique is applied.

• Proceedings of the Korea Electromagnetic Engineering Society Conference
• /
• 2001.11a
• /
• pp.328-331
• /
• 2001

FMM(Fast Multipole Method)은 계산시간이나 메모리 측면에서 장점으로 인해, 수치해석기법으로써는 비교적 대형 구조물의 RCS 계산도 가능하며, 현재 연구가 활발히 진행되고 있는 기법중의 하나이다. 하지만, 폭이 좁은 타원형 형태의 산란체에 대한 해석에서 절점들을 그룹화하는 과정에서 정확도가 문제되었다. 따라서, 본 논문에서는 언급한 구조에 대한 RCS를 계산할 때 발생하는 문제점과 이를 해결하기 위한 방법을 제안한다. 해석은 2차원 도체의 TM 및 TM 편파에 대한 산란특성을 계산하였다.

• Journal of Korean Society for Atmospheric Environment
• /
• v.9 no.E
• /
• pp.347-357
• /
• 1993

The Lagrangian grid-free numerical method, the discrete vortex method, was applied to solve the Navier-Stokes euqations. This method avoids the introduction of numerical viscosity swamping the real physical viscosity at high Reynolds number, unlike Eulerian method, e.g. finite difference and element methods. The boundary integral equation method for the potential flow solution was included to make the discrete vortex method more feasible for complex geometries. The fast adaptive multipole expansion method was incorporated to reduce the computational time from $O(N^2)$ to O(N) for the computations of vortex-vortex interactions. The test problems were air flow around one circular cylinder and two circular cylinders in tandem with various gaps. The numerical results were in excellent gareement with the experimental and other computational results. The applicabilty of the method was discussed with the indoor and the outdoor air pollution problems, especially the contaminant transport in the recirculation regions.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
• /
• v.29 no.9
• /
• pp.701-706
• /
• 2018

The characteristic basis function method, or CFBM, is one of the representative electromagnetic methods widely used today. In this paper, we propose an accelerating algorithm for the far field interaction calculation of CBFM, to efficiently analyze the electromagnetic characteristics of arbitrarily large structures. To effectively analyze the electromagnetic characteristics of a large structure, it is essential to shorten the computation time. In the CBFM analysis method, the complexity can be greatly reduced by using approximations created via the multipole expansion method. The new algorithm proposed in this paper is applied to the computation of radar cross sections of conductor spheres and fighter aircraft, and it is confirmed that calculation time is reduced by 34 % and 74 %, respectively, without loss of accuracy compared with existing CBFM.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
• /
• v.12 no.7
• /
• pp.1122-1130
• /
• 2001

In this paper, by applying the spectral domain wavelet concept to Green function, a fast spectral domain calculation of scattered fields is proposed to get the solution for the radiation integral. The spectral domain wavelet transform to represent Green function is implemented equivalently in space via the constant-Q windowing technique. The radiation integral can be calculated efficiently in the spectral domain using the windowed Green function expanded by its eigen functions around the observation region. Finally, the same formulation as that of the conventional fast multipole method (FMM) is obtained through the windowed Green function and the spectral domain calculation of the radiation integral.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
• /
• v.29 no.10
• /
• pp.805-810
• /
• 2018

A coated perfect electric conductor(PEC) interface to reduce scattered fields can be efficiently modeled by using the impedance boundary condition. The self-dual integral equation(SDIE) proposed by Yan et al. may be an efficient multi-level fast multipole method (MLFMM) formulation for the impedance object. This equation can be applied to an inhomogeneous impedance material, but its accuracy can be degenerated when the material contains a PEC or perfect magnetic conductor(PMC) region. In this paper, we modify the original SDIE formulation for an inhomogeneous object containing a PEC or PMC region and numerically verify its accuracy.