Stability on the one-dimensional inverse source scattering problem in a two-layered medium

ABSTRACT

This paper concerns the stability on the inverse source scattering problem for the one-dimensional Helmholtz equation in a two-layered medium. We show that the increasing stability can be achieved using multi-frequency wave field at the two end points of the interval which contains the compact support of the source function.

KEYWORDS:

• Inverse source problem
• the Helmholtz equation
• two-layered medium
• stability

AMS SUBJECT CLASSIFICATIONS:

• 78A46
• 35R30

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the NSF [grant number DMS-1151308].