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Articles

Convergence of the Born and inverse Born series for electromagnetic scattering

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Pages 1737-1748 | Received 12 May 2016, Accepted 29 Jan 2017, Published online: 16 Feb 2017
 

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.

Acknowledgements

We are grateful to David Colton and Andreas Kirsch for valuable discussions.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the NSF [grant number DMS-1108858], [grant number DMS-1411721] to Shari Moskow and [grant number DMS-1115574], [grant number DMS-1108969] and [grant number DMS-1619907] to John C. Schotland.

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