Robust topology optimization of three-dimensional photonic-crystal band-gap structures.

@article{Men2014RobustTO,
  title={Robust topology optimization of three-dimensional photonic-crystal band-gap structures.},
  author={Han Men and Karen Ka Yan Lee and Robert M. Freund and Jaime Peraire and S. G. Johnson},
  journal={Optics express},
  year={2014},
  volume={22 19},
  pages={
          22632-48
        }
}
We perform full 3D topology optimization (in which "every voxel" of the unit cell is a degree of freedom) of photonic-crystal structures in order to find optimal omnidirectional band gaps for various symmetry groups, including fcc (including diamond), bcc, and simple-cubic lattices. Even without imposing the constraints of any fabrication process, the resulting optimal gaps are only slightly larger than previous hand designs, suggesting that current photonic crystals are nearly optimal in this… 

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References

SHOWING 1-10 OF 85 REFERENCES

Exploring for 3D photonic bandgap structures in the 11 f.c.c. space groups

A level-set approach based on crystallography is proposed to systematically examine for photonic bandgap structures and is shown to be able to open gaps between the 2-3, 5-6 and 8-9 bands in the f.c. c.

Three-dimensionally periodic dielectric layered structure with omnidirectional photonic band gap

A three-dimensionally periodic dielectric structure with a large complete photonic band gap (PBG) is presented. The structure is distinguished by a sequence of planar layers, identical except for a

Photonic crystals: six connected dielectric networks with simple cubic symmetry

Periodic dielectric structures possessing large photonic band gaps have been based primarily on face-centered-cubic diamond symmetry. However, photonic crystals with large photonic band gaps are also

Photonic bandgap optimization in inverted fcc photonic crystals

We present results of photonic band-structure calculations for inverted photonic crystal structures. We consider a structure of air spheres in a dielectric background, arranged in an fcc lattice,

Geometric properties of optimal photonic crystals.

It is conjecture that optimal structures for gaps between bands n and n+1 correspond to n elliptic rods with centers defined by the generators of an optimal centroidal Voronoi tessellation and to the walls of this tessellingation (transverse electric polarization).

Photonic band gaps in materials with triply periodic surfaces and related tubular structures

We calculate the photonic band gap of triply periodic bicontinuous cubic structures and of tubular structures constructed from the skeletal graphs of triply periodic minimal surfaces. The effect of

Robust topology optimization of photonic crystal waveguides with tailored dispersion properties

A robust topology optimization method is formulated to tailor dispersion properties of photonic crystal waveguides, with consideration of manufacturing uncertainties. Slightly dilated and eroded

PHOTONIC BAND GAP FORMATION IN CERTAIN SELF-ORGANIZING SYSTEMS

We present a detailed study of photonic band structure in certain self-organizing systems that self-assemble into large-scale photonic crystals with photonic band gaps (PBGs) or pseudogaps in the

Diamond-structured photonic crystals

A collection of robust complete three-dimensional dielectric photonic-bandgap structures for the visible and near-infrared regimes based on the diamond morphology together with their specific fabrication techniques are surveyed.
...