斜傍轴光传输模型的边值问题
Boundary Value Problem for an Oblique Paraxial Model of Light Propagation
摘要：
我们研究了在传播方向相对于区域边界倾斜的情况下，由Helmholtz方程的傍轴近似得到的薛定谔方程。该模型已在（Doumic，Golse，Sentis，CRAS，2003）中提出。这里我们主要关心的是在半平面内的边界条件，然后是在R2的象限内。半平面问题在（Doumic，Duboc，Golse，Sentis，JCP，to appear）中被用来建立一个数值方法，并被引入CEA的HERA平台。
英文摘要：
We study the Schrödinger equation which comes from the paraxial approximation of the Helmholtz equation in the case where the direction of propagation is tilted with respect to the boundary of the domain. This model has been proposed in (Doumic, Golse, Sentis, CRAS, 2003). Our primary interest here is in the boundary conditions successively in a half-plane, then in a quadrant of R2. The half-plane problem has been used in (Doumic, Duboc, Golse, Sentis, JCP, to appear) to build a numerical method, which has been introduced in the HERA plateform of CEA.
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