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尹榮重 大田開放大學 1986 論文集 Vol.5 No.-
The point at which the regularity of a complex function f(z) disappears is a singular point f(z) is if one-valued regular function, but it is not always regular at every point, in this case the irregular point is an isolated singular one. It is proved to be equivalent to an analytic function that a complex function is a regular one within a domain. The function elements which can the analytic functions are connected by analytic continuation. The kinds, forms and properties of the singular points of the functions are studied, and it is shown that the functions are extended to Cauchy's integral formula.
윤영중,박한규 대한전자공학회 1995 전자공학회논문지-A Vol.32 No.11
In this paper, an ultrasonic phased array transducer with spherical liquid lens, which utilizes both electronic focusing by linear phased array and variable geometric focusing by spherical lens. is investigated. This system reduces the elevational beamwidth which is disadvantage of the 1-dimensional linear phased array, and adds real-time dynamic focusing capability by controlling the volume of liquid in the lens. A prototype of this transducer is constructed and tested. The experimental results are compared with those of computer simulations. The range of applications are in the hyperthermia applicators or ultrasonic image system with narrow beam and rapid scanning characterisitcs.
윤영중 한밭대학교 산업과학기술연구소 1995 논문집 Vol.3 No.-
Generally, The Meromorphic function is expended in various types. When a function f(z) is given as, f(z)=C_kZ^k+C_k+1Z^k+1+……, (C_k≠0, K>0) if, the gero point of the function f(z)/z^k are a_1, a_2, …a_n,……, the function f(z)/z^k becomes a function which has not gero point and can be expressed as a form of function e^g(z). Therefore, we have a factorization of function f(z) at |z|<+∞ f(z)=d^g(z)Z^k??{(1-z/a_n)exp[z/a_n+1/z(z/a_n)^2+…+1/λ_n(z/a_n)^λn]} Also, when a function f(z) is the Meromorphic function at |z|<+∞, we verify that multipliction of f(z) by the function, which has the gero point such as, b_1, b_2, …, b_n, …, that are the poles of function f(z) gives the integral function which has the same gero point of function f(z) f(z)=e^g(z)Z^k(??{(1-z/a_n)exp[z/a_n+1/z(z/a_n)^2+…+1/λ_n(z/a_n)^λn]})/(??{(1-z/a_n)exp[z/b_n+1/z(z/b_n)^2+…+1/λ_n(z/b_n)^λn]})