A framework of shape optimisation based on the isogeometric boundary element method toward designing thin-silicon photovoltaic devices

Takahashi, Tōru; Yamamoto, Tatsuro; Shimba, Yuta; Isakari, Hiroshi; Matsumoto, Toshiro

doi:10.1007/s00366-018-0606-6

Cited by 22 publications

(14 citation statements)

References 72 publications

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“…In general, IGBEM is suitable for shape optimisation because changing the shape of a surface to be designed can be performed by modifying the locations of its control points. As a matter of fact, IGBEM has been exploited for shape optimisations (see a short survey in [3]). With a shape optimisation system, we are particularly interested in designing the surface-plasmon enhanced photovoltaic devices [13,14] in order to realise a high efficient power generation in a very thin cell.…”

Section: Discussionmentioning

confidence: 99%

“…Correspondingly, t h,k denotes the k-th knot regarding the coordinate t h , where 0 ≤ k ≤ n h + p h . Also, p i j (∈ IR 3 ) denotes the (i, j)-th control point. We note that a periodic B-spline surface owns the following properties:…”

Section: Periodic B-spline Surfacementioning

confidence: 99%

“…The singularity of these integrals are O(r −1 ), where r := |x − y|. 3 Therefore, on an interface S , we may consider the following type of double-surface integral:…”

Section: Evaluation Of Surface Integralsmentioning

confidence: 99%

“…Overcoming such difficulties, the IGA is being applied to BEM for various types of boundary value problem. A short survey of IGBEM is found in [3].…”

Section: Introductionmentioning

confidence: 99%

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An isogeometric boundary element method for three-dimensional doubly-periodic layered structures in electromagnetics

Takahashi¹,

Hirai²,

Isakari³

et al. 2021

Preprint

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This paper proposes an isogeometric boundary element method (IGBEM) to solve the electromagnetic scattering problems for three-dimensional doubly-periodic multi-layered structures. The main concerns are the constructions of (i) an open surface (between two layers) and (ii) a vector basis function with using the B-spline functions. Regarding (i), we considered an algorithm to generate a doubly-periodic open surface with the tensor product of the B-spline functions of any degree. Regarding (ii), we employed the vector basis function based on the B-spline functions, which was proposed by Buffa et al [1], and adapted it to the underlying periodic problems so that it can satisfy the quasi-periodic condition on the boundary of an open surface. The proposed IGBEM worked for solving some numerical examples satisfactorily and proved the applicability to plasmonic simulations.

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Section: Discussionmentioning

confidence: 99%

Section: Periodic B-spline Surfacementioning

confidence: 99%

“…The singularity of these integrals are O(r −1 ), where r := |x − y|. 3 Therefore, on an interface S , we may consider the following type of double-surface integral:…”

Section: Evaluation Of Surface Integralsmentioning

confidence: 99%

“…Overcoming such difficulties, the IGA is being applied to BEM for various types of boundary value problem. A short survey of IGBEM is found in [3].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An isogeometric boundary element method for three-dimensional doubly-periodic layered structures in electromagnetics

Takahashi¹,

Hirai²,

Isakari³

et al. 2021

Preprint

Self Cite

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show abstract

“…The isogeometric boundary element method (IGBEM) has been successfully applied to shape optimization [1], while for topology optimization there still exist some issues to be solved. The main challenge in applying IGBEM to topology optimization based on the level-set method locates on the creation of the boundary from the level-set function with the B-spline curves.…”

mentioning

confidence: 99%

On the boundary creation of the isogeometric-BEM in two dimensional topology optimization based on the level-set method

Miao

Takahashi

Isakari

et al. 2020

The Proceedings of Mechanical Engineering Congress, Japan

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Topology Optimization Enabled High Performance and Easy‐to‐Fabricate Hybrid Photonic Crystals

Zhang,

Li,

Jia

et al. 2024

Advcd Theory and Sims

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Photonic crystals (PtCs) can confine and guide electromagnetic waves within specific frequency ranges, forming the foundation for promising optical applications. To numerically design PtCs with broad bandgaps, materials with high dielectric constants are favored. However, fabricating these high dielectric constant materials into microstructures is extremely challenging and it suffers from limitation of low fabricating resolution. To address this problem, this paper proposes hybrid microstructures composed of an easy‐to‐fabricate core and a high dielectric constant coating layer, which leverages the strength of both materials. This paper establishes a topology optimization algorithm to generate these PtCs with maximized bandgaps. Numerical examples demonstrate the effectiveness of the proposed method in generating optimized unit cells for both transverse magnetic (TM) and transverse electric (TE) modes. The hybrid PtCs offer unprecedented opportunities for the fabrication of optical devices, encouraging further research on multimaterial optical systems and advanced optimization methods to explore photonic bandgap materials beyond those offered by the current photonic technology.

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A framework of shape optimisation based on the isogeometric boundary element method toward designing thin-silicon photovoltaic devices

Cited by 22 publications

References 72 publications

An isogeometric boundary element method for three-dimensional doubly-periodic layered structures in electromagnetics

An isogeometric boundary element method for three-dimensional doubly-periodic layered structures in electromagnetics

On the boundary creation of the isogeometric-BEM in two dimensional topology optimization based on the level-set method

Topology Optimization Enabled High Performance and Easy‐to‐Fabricate Hybrid Photonic Crystals

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