论文标题
有效计算扩展的表面源
Efficient Computation of Extended Surface Sources
论文作者
论文摘要
源扩展是波传播中反问题的重新构造，至少在某些情况下会导致计算上的迭代解决方案方法。所有源扩展方法中的核心子问题是通过在最小二乘感知中最小化数据误差的源（波动方程系统中的右侧）的线性反问题的解决方案，并通过加性二次惩罚在源上软化物理约束。光声断层扫描中时间逆转方法的一种变体提供了一个近似的解决方案，可用于预处理krylov空间迭代，以快速收敛到该子问题的解决方案。具有柔软的对抗点支持的表面支持源的声学2D示例说明了该预处理的有效性。
Source extension is a reformulation of inverse problems in wave propagation, that at least in some cases leads to computationally tractable iterative solution methods. The core subproblem in all source extension methods is the solution of a linear inverse problem for a source (right hand side in a system of wave equations) through minimization of data error in the least squares sense with soft imposition of physical constraints on the source via an additive quadratic penalty. A variant of the time reversal method from photoacoustic tomography provides an approximate solution that can be used to precondition Krylov space iteration for rapid convergence to the solution of this subproblem. An acoustic 2D example for sources supported on a surface, with a soft contraint enforcing point support, illustrates the effectiveness of this preconditioner.
