Robust shape and topology optimization of nanophotonic devices using the level set method
نویسندگان
چکیده
منابع مشابه
Shape and Topology Optimization by the Level Set Method
Numerical methods of shape and topology optimization based on the level set representation and on shape di erentiation make possible topology changes during the optimization process. But they do not solve the inherent problem of illposedness of shape optimization which manifests itself in the existence of many local minima, usually having di erent topologies. The reason is that the level set me...
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This paper presents the topology optimization of plane structures using a binary level set (BLS) approach and isogeometric analysis (IGA). In the standard level set method, the domain boundary is descripted as an isocountour of a scalar function of a higher dimensionality. The evolution of this boundary is governed by Hamilton–Jacobi equation. In the BLS method, the interfaces of subdomai...
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This study focuses on the topology optimization of structures using a hybrid of level set method (LSM) incorporating sensitivity analysis and isogeometric analysis (IGA). First, the topology optimization problem is formulated using the LSM based on the shape gradient. The shape gradient easily handles boundary propagation with topological changes. In the LSM, the topological gradient method as ...
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The classical level set method, which represents the boundary of the unknown geometry as the zero-level set of a function, has been shown to be very effective in solving shape optimization problems. The present work addresses the issue of using a level set representation when there are simple geometrical and topological constraints. We propose a logarithmic barrier penalty which acts to enforce...
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2019
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2019.06.057