Journal of Mathematical Analysis and Applications Published RAU Professor Rafik Aramyan's Research
His research article suggests a new approach using the so-called consistency method for the inversion of the spherical mean Radon transform in 2D with detectors on a line. There, he presents a new iterative formula which gives an algorithm to recover an unknown function supported completely on one side of a line L from its spherical means over circles centered on the line L. The proposed reconstruction formula has the benefit of being local. Such an inversion is required in problems of thermo- and photo-acoustic tomography, ultrasound reflection tomography, radar imaging, and a few other.
Professor Aramyan clarified that researchers in the leading universities and laboratories around the world are trying to find a replacement for radiography, and with his new iterative formula that is local in comparison to all the previous formulas, this research will contribute a lot to the field. In particular, Richard M. M Aron, Ph.D., Editor-in-Chief of Journal of Mathematical Analysis and Applications highlighted that the result was surprising and he found it hard to believe at first, but the proof appeared correct.
The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.
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