Topology optimization of dielectric substrates for filters and antennas using SIMP

Kızıltaş, Güllü; Kikuchi, Noboru; Volakis, John L.; Halloran, John W.

doi:10.1007/bf02736229

Cited by 27 publications

(15 citation statements)

References 86 publications

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“…The method has also been applied to electromagnetic problems involving distribution of dielectric materials, e.g. dielectric loading of antennas [7] and photonic crystals [8,9], with great success. The big advantage of topology optimization over other optimization techniques is that the structure's connectivity is not prescribed a priori and is allowed to evolve during the optimization process.…”

Section: Topology Optimizationmentioning

confidence: 99%

Topology optimization of metallic devices for microwave applications

Aage

Mortensen

Sigmund

2010

Numerical Meth Engineering

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SUMMARYIn electromagnetic optimization problems of metallic radio-frequency devices, such as antennas and resonators for wireless energy transfer, the volumetric distribution of good conductors, e.g. copper, has been known to cause numerical bottlenecks. In finite element analysis the limiting factor is the skin depth, which calls for highly refined meshing in order to capture the physics. The skin depth problem has therefore prohibited the application of topology optimization to this class of problem. We present a design parameterization that remedies these numerical issues, by the interpolation of Maxwell's equations and a fictitious element impedance condition. The validity of the proposed design parameterization is confirmed by several numerical examples.

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Section: Topology Optimizationmentioning

confidence: 99%

Topology optimization of metallic devices for microwave applications

Aage

Mortensen

Sigmund

2010

Numerical Meth Engineering

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“…The density method or the solid isotropic material with penalisation (SIMP) method was applied for stent topology optimisation [50][51][52] using MSC Nastran. The SIMP method assigns an internal element density to each element, which is the design variable of the optimisation.…”

Section: Topology Optimisationmentioning

confidence: 99%

A Novel Approach to Design Lesion-Specific Stents for Minimum Recoil

Khan

Brackett

Ashcroft

et al. 2016

Journal of Medical Devices

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“…Such a topology optimization model would be more suitable for the use of gradient based techniques. An example of a relaxed topology optimization model is SIMP [80], which allows for modeling of intermediate shades of the material but at the same time could drive the search for "0/1" type final designs using penalization and filtering techniques [25,65]. Taking manufacturability constraints into account, design cells are assigned discrete permittivity values of available dielectric ceramics and act as the design variables of the problem, which are initially assigned to given values.…”

Section: Materials Synthesis Frameworkmentioning

confidence: 99%

Inverse Synthesis of Electromagnetic Materials Using Homogenization Based Topology Optimization

El-Kahlout¹,

Kızıltaş²

2011

PIER

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Abstract-Recent studies on artificial materials demonstrate that substantial improvements in electromagnetic response can be attained by combining different materials subject to desired metrics. However, the perfect material combination is unique and extremely difficult to determine without automated synthesis schemes. In this paper, we develop a versatile approach to design the microstructure of periodic materials with prescribed dielectric and magnetic material tensors. The proposed framework is based on a robust material model and generalized inverse synthesis tool relying on topology optimization. The former is derived using homogenization theory and asymptotic expansion applied to Maxwell equations and can characterize the effects of anisotropy and loss of materials with periodic unit cells of arbitrary geometries and multi-phases much smaller than the wavelength. Resulting Partial Differential Equation (PDE) is solved numerically using Finite Element Analysis (FEA) and is validated with results in literature. The material model proves to be fast and numerically stable even with complex inclusions. The topology optimization problem is applied for the first time towards designing the unit cell topology of periodic electromagnetic materials from scratch with desired dielectric and magnetic tensors using offthe-shelf materials, i.e., readily available constituents obtained from El-Kahlout and Kiziltas isotropic ceramic powders. The proposed framework's capability is demonstrated with five design examples. Design with anisotropic permittivity is also fabricated. Results show that the framework is capable of designing, in an automated fashion, non-intuitive material compositions from scratch with desired electromagnetic properties.

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Topology optimization of dielectric substrates for filters and antennas using SIMP

Cited by 27 publications

References 86 publications

Topology optimization of metallic devices for microwave applications

Topology optimization of metallic devices for microwave applications

A Novel Approach to Design Lesion-Specific Stents for Minimum Recoil

Inverse Synthesis of Electromagnetic Materials Using Homogenization Based Topology Optimization

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