Low-threshold laser oscillation due to group-velocity anomaly peculiar to two- and three-dimensional photonic crystals

In photonic crystals composed of ferroelectrics, the hybrid bands with corresponding to new additional band gaps are expected to appear around the Brillouin zone’s center and boundaries. In this hybrid bands, the group-velocity anomaly modes related to the phonon-polariton branches are expected to be discovered. Propagation characteristics of the group-velocity anomaly modes in the hybrid bands of one-dimensional photonic crystals fabricated by ferroelectric Li2Ge7O15 single crystals are discussed on the basis of finite element method and finite-difference time-domain numerical analyses and experimental results obtained by terahertz time-domain spectroscopy. It is founded that the electric-field intensity of the standing-wave mode at the end point of the dielectric band branch is found to be localized around all of the ferroelectrics plates in the photonic crystal. In contrast, group-velocity anomaly mode in the vicinity of the standing-wave mode is strongly localized around the first ferroelectrics plate on the incident side and decays as it propagates through the following ferroelectrics plates.

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Phase delay and group velocity determination at a planar defect state in three dimensional photonic crystals

Applied Physics Letters ◽

10.1063/1.2710772 ◽

2007 ◽

Vol 90 (10) ◽

pp. 101113 ◽

Cited By ~ 13

Author(s):

J. F. Galisteo-López ◽

M. Galli ◽

L. C. Andreani ◽

A. Mihi ◽

R. Pozas ◽

...

Keyword(s):

Photonic Crystals ◽

Group Velocity ◽

Three Dimensional ◽

Phase Delay ◽

Planar Defect ◽

Defect State

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Measurement of group velocity dispersion for finite size three-dimensional photonic crystals in the near-infrared spectral region

Applied Physics Letters ◽

10.1063/1.1857076 ◽

2005 ◽

Vol 86 (5) ◽

pp. 053108 ◽

Cited By ~ 41

Author(s):

Georg von Freymann ◽

Sajeev John ◽

Sean Wong ◽

Vladimir Kitaev ◽

Geoffrey A. Ozin

Keyword(s):

Photonic Crystals ◽

Group Velocity ◽

Spectral Region ◽

Near Infrared ◽

Velocity Dispersion ◽

Group Velocity Dispersion ◽

Three Dimensional ◽

Finite Size ◽

Infrared Spectral Region ◽

Infrared Spectral

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Light Pulse Propagation in Three-Dimensional Photonic Crystals

MRS Proceedings ◽

10.1557/proc-707-aa1.3.1/k1.3.1 ◽

2001 ◽

Vol 707 ◽

Author(s):

H. Kitano ◽

F. Minami ◽

T. Sawada ◽

S. Yamaguchi ◽

K. Ohtaka

Keyword(s):

Photonic Crystals ◽

Band Gap ◽

Group Velocity ◽

Pulse Propagation ◽

Group Velocity Dispersion ◽

Three Dimensional ◽

Large Change ◽

Correlation Technique ◽

Good Correspondence ◽

Band Theory

ABSTRACTThe phase characteristics of transmitted optical pulses in three-dimensional photonic crystals were investigated in the frequency and time domain by using the spectrally resolved cross-correlation technique. The temporal evolution of femtosecond pulses passing through polystyrene colloidal crystals exhibits a large phase distortion near the stop bands. The phase discontinuity around the band gap was observed in the frequency-domain. The phase of the transmitted pulses is found to change by p across the band gap. The dispersion curve estimated from the phase shift shows good correspondence with those calculated from a photonic band calculation. The group velocity significantly slows down near the stop bands. A large change of the group velocity dispersion is also observed near the band edges. These results are in good agreement with the band theory.

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Light pulse propagation in three-dimensional photonic crystals

MRS Proceedings ◽

10.1557/proc-694-k1.3 ◽

2001 ◽

Vol 694 ◽

Author(s):

H. Kitano ◽

F. Minami ◽

T. Sawada ◽

S. Yamaguchi ◽

K. Ohtaka

Keyword(s):

Photonic Crystals ◽

Band Gap ◽

Group Velocity ◽

Pulse Propagation ◽

Group Velocity Dispersion ◽

Three Dimensional ◽

Large Change ◽

Correlation Technique ◽

Good Correspondence ◽

Band Theory

AbstractThe phase characteristics of transmitted optical pulses in three-dimensional photonic crystals were investigated in the frequency and time domain by using the spectrally resolved cross-correlation technique. The temporal evolution of femtosecond pulses passing through polystyrene colloidal crystals exhibits a large phase distortion near the stop bands. The phase discontinuity around the band gap was observed in the frequency-domain. The phase of the transmitted pulses is found to change by π across the band gap. The dispersion curve estimated from the phase shift shows good correspondence with those calculated from a photonic band calculation. The group velocity significantly slows down near the stop bands. A large change of the group velocity dispersion is also observed near the band edges. These results are in good agreement with the band theory.

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