Electrical Resistance Tomography for 2D and thin-film materials: from measurements to image reconstruction
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Abstract
Join us for a comprehensive tutorial on Electrical Resistance Tomography (ERT), a powerful non-invasive technique for conductivity mapping of 2D and thin-film materials. The tutorial combines experimental best practices with advanced mathematical methods, offering a solid foundation for researchers and professionals who want to apply ERT in materials science. The first part focuses on practical aspects of experimental ERT: implementing in-contact electrical measurements on thin films using custom fixtures; comparing measurement protocols and their trade-offs; and optimising instrumentation for speed and accuracy. The second part covers the mathematical framework, from forward modelling based on partial differential equations to solving non-linear inverse problems with modern numerical methods. Hands-on examples will illustrate the computational tools required for effective conductivity mapping in realistic scenarios. This tutorial is intended for researchers and professionals seeking a deeper understanding of ERT and its applications in materials science. Keywords: Electrical Resistance Tomography, Conductivity Mapping, Inverse Problems, Tikhonov Regularisation, Finite Element Methods.
