• Photonics Research
  • Vol. 10, Issue 9, 2099 (2022)
Anton Rudenko1、*, Maria K. Hagen2, Jörg Hader1, Stephan W. Koch1、2, and Jerome V. Moloney1
Author Affiliations
  • 1Arizona Center for Mathematical Sciences and Wyant College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA
  • 2Department of Physics and Material Sciences Center, Philipps-Universität Marburg, Marburg 35032, Germany
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    DOI: 10.1364/PRJ.463258 Cite this Article Set citation alerts
    Anton Rudenko, Maria K. Hagen, Jörg Hader, Stephan W. Koch, Jerome V. Moloney. Self-consistent Maxwell–Bloch model for high-order harmonic generation in nanostructured semiconductors[J]. Photonics Research, 2022, 10(9): 2099 Copy Citation Text show less

    Abstract

    In pursuit of efficient high-order harmonic conversion in semiconductor devices, modeling insights into the complex interplay among ultrafast microscopic electron–hole dynamics, nonlinear pulse propagation, and field confinement in nanostructured materials are urgently needed. Here, a self-consistent approach coupling semiconductor Bloch and Maxwell equations is applied to compute transmission and reflection high-order harmonic spectra for finite slab and sub-wavelength nanoparticle geometries. An increase in the generated high harmonics by several orders of magnitude is predicted for gallium arsenide nanoparticles with a size maximizing the magnetic dipole resonance. Serving as a conceptual and predictive tool for ultrafast spatiotemporal nonlinear optical responses of nanostructures with arbitrary geometry, our approach is anticipated to deliver new strategies for optimal harmonic manipulation in semiconductor metadevices.
    {Et=×Hϵ0ϵbiJdispi+J+Ptϵ0ϵbHt=×Eμ0,

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    {Px=k,l,ldkllRe(pkll),Jx=ek,l(kεkl)fkl,

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    {itpkhie=[εke+εkhi+ieEx(t)ki/T2]pkhie+[dkhjhipkhjedkehjpkhihjdkehi(1fkefkhi)]Ex(t),itpkh1h2=[εkh1εkh2+ieEx(t)ki/T2]pkh1h2+[dkeh1pkeh2dkh2epkh1e+dkh2h1(fkh1fkh2)]Ex(t),tfke=2Ex(t)i[Im(dkehipkehi)]+eEx(t)kfke,tfkhi=2Ex(t)[Im(dkhjhipkhjhi)+Im(dkehipkehi)]+eEx(t)kfkhi,

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    Anton Rudenko, Maria K. Hagen, Jörg Hader, Stephan W. Koch, Jerome V. Moloney. Self-consistent Maxwell–Bloch model for high-order harmonic generation in nanostructured semiconductors[J]. Photonics Research, 2022, 10(9): 2099
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