Mathematical Model for the Emission Infrared Tomography of the Temperature Field in an Isotropic Layer
- Authors: Chekurin V.F.1, Boichuk Y.V.1
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Affiliations:
- Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
- Issue: Vol 229, No 3 (2018)
- Pages: 320-334
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240434
- DOI: https://doi.org/10.1007/s10958-018-3680-9
- ID: 240434
Cite item
Abstract
We consider a mathematical model for the determination of the temperature field in a layer that emits, absorbs, and scatters infrared radiation both in the volume and on the surface. Within the framework of the model, we formulate nonlinear direct and inverse problems of emission infrared tomography of the temperature field in the layer according to known space-and-angular distributions of the flows of infrared radiation emitted into the ambient medium. The iterative-variational methods are proposed for the solution of the indicated direct and inverse problems. As a specific example, we perform the numerical analysis of the developed algorithms.
About the authors
V. F. Chekurin
Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Lviv
Yu. V. Boichuk
Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Lviv