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Adjoint Topology Optimization Theory for Nano-Optics
Yongbo Deng
(Author)
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Springer
· Paperback
Adjoint Topology Optimization Theory for Nano-Optics - Deng, Yongbo
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Synopsis "Adjoint Topology Optimization Theory for Nano-Optics"
1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11.1 Self consistency of adjoint analysis for topology optimization infrequency domain . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21.2 Dielectric material based topology optimization for wave optics . . . . 41.3 Metal material based topology optimization for wave optics . . . . . . . 51.4 Topology optimization on two dimensional manifolds for waveoptics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 Self-consistent adjoint analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 192.1 Topology optimization problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 192.2 Split of wave equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 252.3 Adjoint analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 272.4 Numerical implementation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 292.5 Numerical examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 312.5.1 Optical cloak . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 322.5.2 Nanostructures for localized surface plasmon resonances . . . 362.6 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 462.7 Appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 462.7.1 Adjoint analysis of topology optimization problem for twodimensional optical waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 462.7.2 Adjoint analysis of topology optimization problem forthree dimensional optical waves . . . . . . . . . . . . . . . . . . . . . . . . 49References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 523 Dielectric material based topology optimization for wave optics . . . . . 553.1 Methodology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 563.1.1 Magnetic field formulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 563.1.2 Adjoint analysis for magnetic field based topologyoptimization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 583.1.3 Electric field formulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 593.1.4 Adjoint analysis for electric field based topologyoptimization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 613.1.5 Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 633.2 Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 653.2.1 Cloak for perfect conductor . . . . . . . . . . . . . . . . . . . . . . . . . . . . 653.2.2 Dielectric resonator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 673.2.3 Beam splitter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 723.2.4 Cloak for dielectric resonator . . . . . . . . . . . . . . . . . . . . . . . . . . 743.2.5 Metalens with optical vortices . . . . . . . . . . . . . . . . . . . . . . . . . 823.3 Summary . . . . . . . . . . . . . . . . . . . .
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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.
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