4 papers · 1 filter
Multi-parameter determination in the semilinear Helmholtz equation
Long-Ling Du, Zejun Sun, Li-Li Wang +1
This paper studies an inverse boundary value problem for a semilinear Helmholtz equation with Neumann boundary conditions in a bounded domain (). The…
Inverse Random Source Problem for the Helmholtz Equation from Statistical Phaseless Data
Qiao-Ping Chen, Hongyu Liu, Zejun Sun +2
This paper investigates the problem of reconstructing a random source from statistical phaseless data for the two-dimensional Helmholtz equation. The major challenge of this proble…
Geometric Optics Approximation Sampling: A Far-Field Reflector-Induced Transport Framework
Zejun Sun, Guang-Hui Zheng
We develop a far-field geometric optics approximation sampling (GOAS) framework for constructing direct samplers from target measures. The method exploits the connection between th…
Geometric Optics Approximation Sampling: A Reflector-Induced Transport Map Framework
Zejun Sun, Guang-Hui Zheng
In this paper, we propose Geometric Optics Approximation Sampling (GOAS), a reflector-induced transport-map framework for sampling from target measures. Once a reflecting surface i…