Electromagnetic Absorption in a Disordered Medium near a Photon Mobility Edge

1984 Physical Review Letters 937 citations

Abstract

A frequency regime in which electromagnetic waves in a strongly disordered medium undergo Anderson localization in $d=3$ dimensions is suggested. In the presence of weak dissipation in $d=2+\ensuremath{\epsilon}$ it is shown that the renormalized energy absorption coefficient increases as the photon frequency $\ensuremath{\omega}$ approaches a mobility edge ${\ensuremath{\omega}}^{*}$ from the conducting side as $\ensuremath{\alpha}\ensuremath{\sim}{({\ensuremath{\omega}}^{*}\ensuremath{-}\ensuremath{\omega})}^{\ensuremath{-}\frac{(d\ensuremath{-}2)\ensuremath{\nu}}{2}}$, $\ensuremath{\nu}=\frac{1}{\ensuremath{\epsilon}}$. This mobility edge occurs at a frequency compatible with the Ioffe-Regel condition.

Keywords

OmegaPhysicsCondensed matter physicsElectromagnetic radiationAbsorption (acoustics)PhotonAbsorption edgeEnergy (signal processing)Photon energyAtomic physicsQuantum mechanicsOpticsBand gap

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Publication Info

Year
1984
Type
article
Volume
53
Issue
22
Pages
2169-2172
Citations
937
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Sajeev John (1984). Electromagnetic Absorption in a Disordered Medium near a Photon Mobility Edge. Physical Review Letters , 53 (22) , 2169-2172. https://doi.org/10.1103/physrevlett.53.2169

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DOI
10.1103/physrevlett.53.2169