Convergence of the Born and inverse Born series for electromagnetic scattering
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DOI: 10.1080/00036811.2017.1292349
Abstract: We consider the Born and Inverse Born series that arise in the theory of electromagnetic scattering and related inverse problems. We establish sufficient conditions for convergence of both series. read more here.
Keywords: inverse born; born inverse; series; born series ... See more keywords
Convergent Born series improves the accuracy of numerical solution of time-independent photoacoustic wave equation
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DOI: 10.1080/09500340.2020.1777334
Abstract: This work presents two variants of Born-series methods, for the first time, providing a numerical solution to the time-independent photoacoustic wave equation. These methods are effective in providing accurate solution even when there is a… read more here.
Keywords: numerical solution; born series; solution; solution time ... See more keywords
Solution of the inhomogeneous Maxwell's equations using a Born series.
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DOI: 10.1364/oe.25.025165
Abstract: An algorithm for the numerical solution of the inhomogeneous Maxwell's equations is presented. The algorithm solves the inhomogeneous vector wave equation of the electric field by writing the solution as a convergent Born series. Compared… read more here.
Keywords: solution inhomogeneous; maxwell equations; inhomogeneous maxwell; solution ... See more keywords
Efficient method for accelerating line searches in adjoint optimization of photonic devices by combining Schur complement domain decomposition and Born series expansions.
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DOI: 10.1364/oe.451718
Abstract: A line search in a gradient-based optimization algorithm solves the problem of determining the optimal learning rate for a given gradient or search direction in a single iteration. For most problems, this is determined by… read more here.
Keywords: born series; search; complement domain; line ... See more keywords