Group-index limitations in slow-light photonic crystals

Jure Grgic, Jesper Goor Pedersen, Sanshui Xiao, Asger Mortensen

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

In photonic crystals the speed of light can be significantly reduced due to band-structure effects associated with the spatially periodic dielectric function, rather than originating from strong material dispersion. In the ideal and loss-less structures it is possible even to completely stop the light near frequency band edges associated with symmetry points in the Brillouin zone. Unfortunately, despite the impressive progress in fabrication of photonic crystals, real structures differ from the ideal structures in several ways including structural disorder, material absorption, out of plane radiation, and in-plane leakage. Often, the different mechanisms are playing in concert, leading to attenuation and scattering of electromagnetic modes. The very same broadening mechanisms also limit the attainable slow-down which we mimic by including a small imaginary part to the otherwise real-valued dielectric function. Perturbation theory predicts that the group index scales as 1/ϵ″ which we find to be in complete agreement with the full solutions for various examples. As a consequence, the group index remains finite in real photonic crystals, with its value depending on the damping parameter and the group-velocity dispersion. We also extend the theory to waveguide modes, i.e. beyond the assumption of symmetry points. Consequences are explored by applying the theory to W1 waveguide structures.
OriginalsprogEngelsk
TidsskriftPhotonics and Nanostructures - Fundamentals and Applications
Vol/bind8
Udgave nummer2
Sider (fra-til)56-61
ISSN1569-4410
DOI
StatusUdgivet - 2010
Udgivet eksterntJa

Fingeraftryk

Slow light
Photonic crystals
photonics
Waveguides
material absorption
Group velocity dispersion
crystals
waveguides
Light velocity
symmetry
Brillouin zones
group velocity
Band structure
Frequency bands
leakage
perturbation theory
Damping
damping
attenuation
disorders

Citer dette

Grgic, Jure ; Pedersen, Jesper Goor ; Xiao, Sanshui ; Mortensen, Asger. / Group-index limitations in slow-light photonic crystals. I: Photonics and Nanostructures - Fundamentals and Applications. 2010 ; Bind 8, Nr. 2. s. 56-61.
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title = "Group-index limitations in slow-light photonic crystals",
abstract = "In photonic crystals the speed of light can be significantly reduced due to band-structure effects associated with the spatially periodic dielectric function, rather than originating from strong material dispersion. In the ideal and loss-less structures it is possible even to completely stop the light near frequency band edges associated with symmetry points in the Brillouin zone. Unfortunately, despite the impressive progress in fabrication of photonic crystals, real structures differ from the ideal structures in several ways including structural disorder, material absorption, out of plane radiation, and in-plane leakage. Often, the different mechanisms are playing in concert, leading to attenuation and scattering of electromagnetic modes. The very same broadening mechanisms also limit the attainable slow-down which we mimic by including a small imaginary part to the otherwise real-valued dielectric function. Perturbation theory predicts that the group index scales as 1/ϵ″ which we find to be in complete agreement with the full solutions for various examples. As a consequence, the group index remains finite in real photonic crystals, with its value depending on the damping parameter and the group-velocity dispersion. We also extend the theory to waveguide modes, i.e. beyond the assumption of symmetry points. Consequences are explored by applying the theory to W1 waveguide structures.",
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Group-index limitations in slow-light photonic crystals. / Grgic, Jure; Pedersen, Jesper Goor; Xiao, Sanshui; Mortensen, Asger.

I: Photonics and Nanostructures - Fundamentals and Applications, Bind 8, Nr. 2, 2010, s. 56-61.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Group-index limitations in slow-light photonic crystals

AU - Grgic, Jure

AU - Pedersen, Jesper Goor

AU - Xiao, Sanshui

AU - Mortensen, Asger

PY - 2010

Y1 - 2010

N2 - In photonic crystals the speed of light can be significantly reduced due to band-structure effects associated with the spatially periodic dielectric function, rather than originating from strong material dispersion. In the ideal and loss-less structures it is possible even to completely stop the light near frequency band edges associated with symmetry points in the Brillouin zone. Unfortunately, despite the impressive progress in fabrication of photonic crystals, real structures differ from the ideal structures in several ways including structural disorder, material absorption, out of plane radiation, and in-plane leakage. Often, the different mechanisms are playing in concert, leading to attenuation and scattering of electromagnetic modes. The very same broadening mechanisms also limit the attainable slow-down which we mimic by including a small imaginary part to the otherwise real-valued dielectric function. Perturbation theory predicts that the group index scales as 1/ϵ″ which we find to be in complete agreement with the full solutions for various examples. As a consequence, the group index remains finite in real photonic crystals, with its value depending on the damping parameter and the group-velocity dispersion. We also extend the theory to waveguide modes, i.e. beyond the assumption of symmetry points. Consequences are explored by applying the theory to W1 waveguide structures.

AB - In photonic crystals the speed of light can be significantly reduced due to band-structure effects associated with the spatially periodic dielectric function, rather than originating from strong material dispersion. In the ideal and loss-less structures it is possible even to completely stop the light near frequency band edges associated with symmetry points in the Brillouin zone. Unfortunately, despite the impressive progress in fabrication of photonic crystals, real structures differ from the ideal structures in several ways including structural disorder, material absorption, out of plane radiation, and in-plane leakage. Often, the different mechanisms are playing in concert, leading to attenuation and scattering of electromagnetic modes. The very same broadening mechanisms also limit the attainable slow-down which we mimic by including a small imaginary part to the otherwise real-valued dielectric function. Perturbation theory predicts that the group index scales as 1/ϵ″ which we find to be in complete agreement with the full solutions for various examples. As a consequence, the group index remains finite in real photonic crystals, with its value depending on the damping parameter and the group-velocity dispersion. We also extend the theory to waveguide modes, i.e. beyond the assumption of symmetry points. Consequences are explored by applying the theory to W1 waveguide structures.

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DO - 10.1016/j.photonics.2009.07.002

M3 - Journal article

VL - 8

SP - 56

EP - 61

JO - Photonics and Nanostructures - Fundamentals and Applications

JF - Photonics and Nanostructures - Fundamentals and Applications

SN - 1569-4410

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ER -