Paper
13 April 2005 Formation of effective energy carriers in donor or acceptor lattice disturbances at the band-gap edges of photonic crystals
Virginie Lousse, Jean Pol Vigneron
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Abstract
The effect of a long-range, slowly varying, modulation of the refractive index of a photonic crystal is investigated. It is shown that the Bloch modes are modified by essentially being modulated by an envelope function which adapts to the long-range dielectric function perturbation. This envelope function obeys a simple linear Schroedinger equation of classical (non-quantum) origin. Close to a band extremum, at a gap edge, the envelope functions can be interpreted as wave functions of relativistic particles possessing a finite rest mass. These effective energy carriers come as two species, referred to as “effective photons” (for positive band curvatures) or “photonic holes” (for negative band curvatures). The energy transfer through the chirped structure can be viewed as resulting from the migration of these particles under forces implied by the long-range dielectric function modulation.
© (2005) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Virginie Lousse and Jean Pol Vigneron "Formation of effective energy carriers in donor or acceptor lattice disturbances at the band-gap edges of photonic crystals", Proc. SPIE 5733, Photonic Crystal Materials and Devices III, (13 April 2005); https://doi.org/10.1117/12.589286
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Cited by 1 scholarly publication.
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KEYWORDS
Photonic crystals

Modulation

Dielectrics

Refractive index

Particles

Photons

Semiconductors

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