Inverse Source Problem with Many Frequencies and Attenuation for One-Dimensional Domain

  • Elham Sohrabi University of South Carolina Upstate
  • Shahah Almutairi Northern Boarder University
Keywords: Scattering Theory, Inverse Source Problems, Helmholtz Equation

Abstract

In this article, we consider the one-dimensional inverse source problem for Helmholtz equation with attenuation (damping) factor in a one layer medium. We establish a stability by using multiple frequencies at the two end points of the domain which contains the compact support of the source functions. The main result is an estimate which consists of two parts: the data discrepancy and the high frequency tail. We show that increasing stability possible using multi-frequency wave at the two endpoints.

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Author Biographies

Elham Sohrabi, University of South Carolina Upstate
Division of Mathematics and Computer Science, University of South Carolina Upstate, Spartanburg, SC 29303, USA
Shahah Almutairi, Northern Boarder University

Northern Boarder University, Arar, Northern Boarder 73222, Saudi Arabia

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Published
2019-12-18
How to Cite
Sohrabi, E., & Almutairi, S. (2019). Inverse Source Problem with Many Frequencies and Attenuation for One-Dimensional Domain. MathLAB Journal, 4, 33-40. Retrieved from https://purkh.com/index.php/mathlab/article/view/527
Section
Research Articles