CAJ | 학술논문

关于时间调和声波在一个无限长圆柱形导体上的散射，可以转化为 R2中一段光滑开弧上的散射问题。利用单双层位势来逼近散射波，通过单双层位势在开弧两侧的跳跃关系建立了混合边界的积分方程组，然后对此方程组进行参数化和离散化，最终得到离散化后的积分方程组。此边界积分方程组的解是存在唯一的。
관우시간조화성파재일개무한장원주형도체상적산사，가이전화위 R2중일단광활개호상적산사문제。이용단쌍층위세래핍근산사파，통과단쌍층위세재개호량측적도약관계건립료혼합변계적적분방정조，연후대차방정조진행삼수화화리산화，최종득도리산화후적적분방정조。차변계적분방정조적해시존재유일적。
The acoustic scattering on an infinitely long cylindrical conductor can be converted to mixed boundry value problem of Helmholtz functions for some smooth open the arc. In this paper, using a single double-potential to approximate scattering waves and according to potential theory and jump relations we establish the mixed boundary integral equations. Then this system of equations is discreted and parametered. The existence and uniqueness of solution to the boundary integral equations can be proved.