Fractional Transport of Photons in Deterministic Aperiodic Structures

The propagation of optical pulses through primary types of deterministic aperiodic structures is numerically studied in time domain using the rigorous transfer matrix method in combination with analytical fractional transport models. We demonstrate tunable anomalous photon transport, including the e...

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Bibliographic Details
Published in:Scientific reports 2017-05, Vol.7 (1), p.2259-15, Article 2259
Main Authors: Dal Negro, Luca, Inampudi, Sandeep
Format: Article
Language:English
Subjects:
639/624/1111/1112
639/624/400
Computer engineering
Decomposition
Diffusion
Fractals
Humanities and Social Sciences
multidisciplinary
Optical analysis
Photons
Power
Propagation
Scaling
Science
Science (multidisciplinary)
Wave propagation
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Summary:The propagation of optical pulses through primary types of deterministic aperiodic structures is numerically studied in time domain using the rigorous transfer matrix method in combination with analytical fractional transport models. We demonstrate tunable anomalous photon transport, including the elusive logarithmic Sinai sub-diffusion in photonic systems for the first time. Our results are in excellent agreement with the scaling theory of transport in aperiodic media with fractal spectra, and additionally demonstrate logarithmic sub-diffusion in the presence of multifractality. Moreover, we establish a fruitful connection between tunable photon diffusion and fractional dynamics, which provides analytical insights into the asymptotic transport regime of optical media with deterministic aperiodic order. The demonstration of tunable sub-diffusion and logarithmic photon transport in deterministic aperiodic structures can open novel and fascinating scenarios for the engineering of wave propagation and light-matter interaction phenomena beyond the conventional diffusive regime.
ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-017-02170-9