Reflectivity calculated for a three-dimensional silicon photonic band gap crystal with finite support

The three-dimensional (3D) photonic band gap material is a material that there exists a full photonic band gap in which waves are forbidden to propagate whatever the polarization or the direction of propagation. In order to obtain photonic bandgap in lower range, we focus on the fabrication of PBG materials of diamond structure with TiO2 powder mixed with SiO2. The inverse epoxy structure with periodic diamond lattices in millimeter order has been fabricated by stereolithographic rapid prototyping. TiO2 slurry was filled into the epoxy structure and then cold isostatic pressing was applied. After sintering at 700K for 5hrs, the epoxy was burnt out and the designed structure was maintained perfectly. The calculated band diagram shows that there exists an absolute photonic band gap for all wave vectors. The measurement of transmission from 10 to 20 GHz in <100> direction shows that a complete band gap is formed at about 14.7-18.5 GHz. The magnitude of the maximum attenuation is as large as 30 dB at 17 GHz.

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Tuning of 2-D Silicon Photonic Crystals

MRS Proceedings ◽

10.1557/proc-722-l3.1 ◽

2002 ◽

Vol 722 ◽

Cited By ~ 1

Author(s):

H. M. van Driel ◽

S.W. Leonard ◽

J. Schilling ◽

R.B. Wehrspohn

Keyword(s):

Band Gap ◽

High Frequency ◽

Optical Band Gap ◽

Photonic Band Gap ◽

Macroporous Silicon ◽

Optically Pumped ◽

Electron Hole ◽

Silicon Photonic ◽

Induced Changes ◽

Photonic Band

AbstractWe demonstrate two ways in which the optical band-gap of a 2-D macroporous silicon photonic crystal can be tuned. In the first method the temperature dependence of the refractive index of an infiltrated nematic liquid crystal is used to tune the high frequency edge of the photonic band gap by up to 70 nm as the temperature is increased from 35 to 59°C. In a second technique we have optically pumped the silicon backbone using 150 fs, 800 nm pulses, injecting high density electron hole pairs. Through the induced changes to the dielectric constant via the Drude contribution we have observed shifts up to 30 nm of the high frequency edge of a band-gap.

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Phoamtonic designs yield sizeable 3D photonic band gaps

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.1912730116 ◽

2019 ◽

Vol 116 (47) ◽

pp. 23480-23486 ◽

Cited By ~ 4

Author(s):

Michael A. Klatt ◽

Paul J. Steinhardt ◽

Salvatore Torquato

Keyword(s):

Band Gap ◽

Volume Fraction ◽

Photonic Band Gap ◽

Three Dimensional ◽

Band Gaps ◽

Photonic Band Gaps ◽

Photonic Networks ◽

Photonic Waveguides ◽

High Degree ◽

Photonic Band

We show that it is possible to construct foam-based heterostructures with complete photonic band gaps. Three-dimensional foams are promising candidates for the self-organization of large photonic networks with combinations of physical characteristics that may be useful for applications. The largest band gap found is based on 3D Weaire–Phelan foam, a structure that was originally introduced as a solution to the Kelvin problem of finding the 3D tessellation composed of equal-volume cells that has the least surface area. The photonic band gap has a maximal size of 16.9% (at a volume fraction of 21.6% for a dielectric contrast ε=13) and a high degree of isotropy, properties that are advantageous in designing photonic waveguides and circuits. We also present results for 2 other foam-based heterostructures based on Kelvin and C15 foams that have somewhat smaller but still significant band gaps.

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Electromagnetic properties of photonic crystals with diamond structure containing defects

Journal of Materials Research ◽

10.1557/jmr.2003.0309 ◽

2003 ◽

Vol 18 (9) ◽

pp. 2214-2220 ◽

Cited By ~ 5

Author(s):

Shingo Kanehira ◽

Soshu Kirihara ◽

Yoshinari Miyamoto ◽

Kazuaki Sakoda ◽

Mitsuo Wada Takeda

Keyword(s):

Photonic Crystals ◽

Band Gap ◽

Photonic Band Gap ◽

Three Dimensional ◽

Expansion Method ◽

Electromagnetic Properties ◽

Diamond Structure ◽

Multiple Reflections ◽

Air Cavity ◽

Photonic Band

Three-dimensional photonic crystals with a diamond structure, which are composed of the TiO2-based ceramic particles dispersed in an epoxy lattice, were fabricated by stereolithography. The diamond structure showed a photonic band gap in the 14.3–17.0 GHz range along the Γ-K 〈110〉 direction, which is close to the band calculation using the plain wave expansion method. Two types of lattice defects—air cavity and dielectric cavity—were introduced into the diamond structure by removing a unit cell of diamond structure or inserting a block of the lattice medium into the air cavity. The transmission of millimeter waves affected by multiple reflections at the defects was measured in the photonic band gap. Resonant frequencies in the defects were calculated and compared with the measurement results.

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Modulation of Three Dimensional Photonic Band Gap in Visible Region

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.31.20 ◽

2007 ◽

Vol 31 ◽

pp. 20-22 ◽

Cited By ~ 2

Author(s):

Y.P. Liu ◽

Y.P. Guo ◽

Z.J. Yan ◽

C.M. Huang ◽

Y.Y. Wang

Keyword(s):

Optical Properties ◽

Band Gap ◽

Photonic Band Gap ◽

Bragg Reflection ◽

Quartz Substrate ◽

Three Dimensional ◽

Visible Region ◽

Sphere Size ◽

Vertical Deposition Method ◽

Photonic Band

Three dimensional (3D) SiO2 photonic crystals films were fabricated on quartz substrate by vertical deposition method. The effects of various preparation parameters on optical properties were studied by optical transmission measurements. Bragg reflection on parallel sets of (111) planes were observed in all the samples. The center wavelength of [111] photonic band gap (PBG) varied from 450 nm to 680 nm with the increasing sphere size. For a given sphere size, the (111) Bragg reflection of as-deposited sample shifted towards lower wavelengths as the sintering temperature T increased. The role of evaporation temperature on the optical properties of the film was also investigated. The PBG can be correspondingly modulated in visible region by changing various preparation parameters.

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