Fast direct solution of the Helmholtz equation with a perfectly matched layer or an absorbing boundary condition

A Reflectionless Sponge Layer Absorbing

A Reflectionless Sponge Layer Absorbing Boundary Condition for the Solution of Maxwell's Equations with High-Order Staggered Finite Difference Schemes

✍ Peter G. Petropoulos; Li Zhao; Andreas C. Cangellaris 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 372 KB

We develop, implement, and demonstrate a reflectionless sponge layer for truncating computational domains in which the time-dependent Maxwell equations are discretized with high-order staggered nondissipative finite difference schemes. The well-posedness of the Cauchy problem for the sponge layer eq