Topology optimization of photonic crystal structures: a high-bandwidth low-loss T-junction waveguide

By Jakob S. Jensen, Ole Sigmund. 2005

233 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Biomedical Engineering, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/23852087fab84252bea70cad9f905577bfcc4584

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In Atomic and Molecular Physics, and Optics

In Biomedical Engineering

In Electrical and Electronic Engineering

Citations in the corpus

Isogeometric Analysis for Topology Optimization with a Phase Field Model (2012, methodology): “For example, this is the case for applications in fluid dynamics [1], heat conduction [45], vibration [58], multiphysics [92] and bioengineering [110]; also topology optimization has been used for shell structures [65, 84] and with different material models as in [88] for elastoplastic structures.”
Intelligent nanophotonics: merging photonics and artificial intelligence at the nanoscale (2018, background): “lines [42-53], and some previously unattainable functionalities have been made possible by using advanced algorithms and hardware [54-72].”
Topology optimization approaches (2013, background): “…multimaterial problems one may select appropriate penalization factors based on theoretical material bounds (c.f. Sigmund 2001b) but there also exist cases where the penalization concept is insufficient and other means must be introduced to ensure discrete solutions (c.f. Jensen and Sigmund 2005).”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, background): “2004), T-junctions (Jensen and Sigmund 2005), and Y-splitters (Borel et al.”
On projection methods, convergence and robust formulations in topology optimization (2011, background): “Examples where the structures do not necessarily want to stay connected are photonic crystal based waveguides and structures (Borel et al. 2005; Jensen and Sigmund 2005 ).”
Minimization of sound radiation from vibrating bi-material structures using topology optimization (2007, background): “Optimization of structural response including wave guidance (see, e.g., Tcherniak 2002; Sigmund and Jensen 2003; Jensen and Sigmund 2005).”
A critical review of established methods of structural topology optimization (2009, background): “…presented in 1990 (Rozvany and Zhou 1991). b The corresponding exact analytical truss solution (Lewinski et al. 1994) (Buhl et al. 2000), multi-physics actuators (Sigmund 2001b), photonic crystal structures (Jensen and Sigmund 2004, 2005), and phononic band gap materials (Sigmund and Jensen 2003).”
Structural topology optimization based on non-local Shepard interpolation of density field (2011, background): “It has also been applied to a wide range of industrial applications and extended to design problems involving multi-physics or multiple material phases [15–20].”
Topology optimization of dynamics problems with Padé approximants (2007, methodology): “The possibility for using PA approximants to compute frequency responses with a high-frequency resolution was utilized in a previous optimization study by the author [13].”