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Shape Optimization in Electromagnetic Applications

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New Trends in Shape Optimization

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 166))

Abstract

We consider shape optimization for objects illuminated by light. More precisely, we focus on time-harmonic solutions of the Maxwell system in curl-curl-form scattered by an arbitrary shaped rigid object. Given a class of cost functionals, including the scattered energy and the extinction cross section, we develop an adjoint-based shape optimization scheme which is then applied to two key applications.

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Correspondence to Johannes Semmler .

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Semmler, J., Pflug, L., Stingl, M., Leugering, G. (2015). Shape Optimization in Electromagnetic Applications. In: Pratelli, A., Leugering, G. (eds) New Trends in Shape Optimization. International Series of Numerical Mathematics, vol 166. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-17563-8_11

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