Magnetic induction tomography via the monotonicity principle

Autor:	Piscitelli, G., Su, Z., Udpa, L., Tamburrino, A.
Rok vydání:	2023
Předmět:	Monotonicity History Inverse Problems Imaging methods Magnetic induction tomography Non-iterative Quasi-stationary Real-time imaging Computer Science Applications Education
Zdroj:	Journal of Physics: Conference Series. 2444:012005
ISSN:	1742-6596 1742-6588
Popis:	This contribution is focused on the nonlinear and ill-posed problem of reconstructing the electrical conductivity starting from the free response of a conductor in the magneto-quasi-stationary (MQS) limit. In this framework, a key role is played by the Monotonicity Principle, that is a monotone relation connecting the unknown material property to the (measured) free-response. The Monotonicity Principle is relevant to develop noniterative and real-time imaging methods. The Monotonicity Principle is a rather general principle found in many different physical problems. However, each physical/mathematical context requires the proper operator showing the MP to be identified. In turns, this calls for ad-hoc mathematical approaches tailored to the specific frameworks. In this paper we discuss a monotonic relationship between the electrical resistivity and the time constants of the free response for MQS systems. Numerical examples are provided to support the underlying theory.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03e2cdadc374f59af65cce688ae61ff6 https://doi.org/10.1088/1742-6596/2444/1/012005 Zobrazit plný text záznamu