• Journal of information and communication convergence engineering
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• 제8권3호
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• pp.312-316
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• 2010

Conformal mapping has been a familiar tool of science and engineering for generations. The methods of numerical mapping are usually classified into those which construct the map from standard domain such as the unit disk onto the 'problem domain', and those which construct the map in the reverse direction. We treat numerical conformal mapping from the unit disk onto the Jordan regions as the problem domain in this paper. The traditional standard methods of this type are based on Theodorsen integral equation. Wegmann's method is well known as a Newton-like efficient one for solving Theodorsen equation. An improved method for convergence by applying low frequency pass filter to the Wegmann's method was proposed. In this paper we propose an effective algorithm for numerical conformal mapping based on the improved method. This algorithm is able to determine the discrete numbers and initial values automatically in accordance with the given region and the required accuracy. This results come from analyzing the shape of given domain as seen in the Fourier Transform.

• International Journal of CAD/CAM
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• 제9권1호
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• pp.103-109
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• 2010

Recently, various conformal geometric methods have been presented for non-rigid surface matching and registration. This work proposes to improve the robustness of conformal geometric methods to the boundaries by incorporating the symmetric information of the input surface. We presented two symmetric conformal mapping methods, which are based on solving Riemann-Cauchy equation and curvature flow respectively. Experimental results on geometric data acquired from real life demonstrate that the symmetric conformal mapping is insensitive to the boundary occlusions. The method outperforms all the others in terms of robustness. The method has the potential to be generalized to high genus surfaces using hyperbolic curvature flow.

• 전자공학회논문지A
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• 제32A권8호
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• pp.71-77
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• 1995

Evaluated are errors of the conformal mapping method in the analysis of a coplanar waveguides and asmmetric coplanar strips. The errors are mainly due to the negligence of fringe field effect after electrode structures are transformed to parallel electrodes. For the purpose of comparison, results of the conformal mapping(CM) method are compared with those of the successive over relaxation(SOR) method.

• 대한전기학회논문지:전기기기및에너지변환시스템부문B
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• 제48권3호
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• pp.104-109
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• 1999

In order to design and predict the performance of the harmonic side drive motor, it is necessary to analyze the torque generated by the structure. In this paper, an analytical model is proposed for design. Conformal mapping is used to model the capacitance and torque of the motor as a function of the rotor angular position with two-dimensional approximation. Then the result of conformal mapping analysis is verified with F.E.M result.

• Journal of information and communication convergence engineering
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• 제10권1호
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• pp.66-70
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• 2012

Conformal mapping has been a familiar tool of science and engineering for generations. Determination of a conformal map from the unit disk onto the Jordan region is reduced to solving the Theodorsen equation, which is an integral equation for boundary correspondence functions. There are many methods for solving the Theodorsen equation. It is the goal of numerical conformal mapping to find methods that are at once fast, accurate, and reliable. In this paper, we analyze Niethammer’s solution based on successive over-relaxation (SOR) iteration and Wegmann’s solution based on Newton iteration, and compare them to determine which one is more effective. Through several numerical experiments with these two methods, we can see that Niethammer’s method is more effective than Wegmann’s when the degree of the problem is low and Wegmann’s method is more effective than Niethammer’s when the degree of the problem is high.

• 충청수학회지
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• 제23권3호
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• pp.463-470
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• 2010

If P(f, r) is the set of endpoints of radii which have length greater than or equal to r > 0 under a conformal mapping f of the unit disc. Then for large r, the logarithmic capacity of P(f, r), $\frac{1}{\sqrt[2]{r}}{\leq}cap(P(f,r)){\leq}\frac{k}{\sqrt{r}}$. Where k is the positive constant.

• 한국음향학회지
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• 제19권4호
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• pp.77-83
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• 2000

기존의 어레이 합성 기법들은 선형 어레이 소나에 적용되어 신호이득을 증가시키고, 방향의 분해능을 향상시키며 부엽에 대한 주엽의 레벨 비를 높이기 위한 방법으로 연구되어져 왔다. 본 논문에서는 어레이 합성 기법을 비선형 형태의 견인 어레이인 Conformal 어레이에 적용하여 기준 축상에 실제 어레이의 센서들을 사상시킴으로써 선형 어레이와 같이 제어하기 위한 기법을 제안한다. Conformal 어레이를 위해 적용된 기법은 FFT변환을 통해 빔 영역상에서 연속적인 시간에 대해 부신호를 코히어런트하게 처리한다. 합성의 반복횟수, 선형 어레이에서 나타난 방향 탐지 오차, 부엽 증가에 대해 사상 기법에 의한 오차 감소와 같은 결과를 컴퓨터 시뮬레이션을 통해 검증하였다.

• 조명전기설비학회논문지
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• 제24권6호
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• pp.35-42
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• 2010

본 논문에서는 등각사상 방법(conformal mapping method)을 사용하여 도체로 보강된 결합 도파 선로(conductor-backed coupled coplanar waveguide)의 정전기장 분포와 전위 분포를 계산하는 해석적인 수식을 유도하였다. 그리고 유도한 수식을 사용하여 결합 도파 선로 구조 전체에 분포하는 정전기장과 전위분포를 계산하고 이를 분석하였다. 논문에서 사용한 방법은 반복계산 과정을 필요로 하지 않으므로 이를 사용하면 전파해석방법(full-wave analysis method)보다 전기장분포를 빠르고 간편하게 계산할 수 있다. 이 방법은 결합기, 필터, 마이크로스트립 안테나와 같은 결합선로를 사용한 마이크로파집적회로의 분석에 폭넓게 응용될 수 있다.

• Structural Engineering and Mechanics
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• 제64권6권
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• pp.695-701
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• 2017

This paper investigates some general properties in the degenerate scale problem of antiplane elasticity or Laplace equation. For a given configuration, the degenerate scale problem is solved by using conformal mapping technique, or by using the null field BIE (boundary integral equation) numerically. After solving the problem, we can define and evaluate the degenerate area which is defined by the area enclosed by the contour in the degenerate configuration. It is found that the degenerate area is an important parameter in the problem. After using the conformal mapping, the degenerate area can be easily evaluated. The degenerate area for many configurations, from triangle, quadrilles and N-gon configuration are evaluated numerically. Most properties studied can only be found by numerical computation. The investigated properties provide a deeper understanding for the degenerate scale problem.

• Journal of applied mathematics & informatics
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• 제20권1_2호
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• pp.611-621
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• 2006

This paper is to discuss the numerical conformal mapping from the unit disk onto Jordan region, which can be solved by Theodorsen equation. Wegmann's method has been known as the most efficient one for the Theodorsen equation. However, we found divergence through numerical experiments by the iterative method of Wegmann. The divergence occurs especially when some degree of difficulty is high. We analyze the cause of divergence and propose an improved method by applying a low frequency pass filter to Wegmann's method. By this proposed method we can get a stable convergence for all the problems which was unstable with the Wegmann's method.