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Fractional Transport of Photons in Deterministic Aperiodic Structures

Luca Dal Negro; Sandeep Inampudi · Scientific Reports · 2017 · Numerical wave transport and analytical fractional-dynamics modelling

Original publication · Original publication · Original publication

Recorded summary

Transfer-matrix simulations compare photon propagation in deterministic aperiodic structures. Fibonacci and Thue–Morse stacks exhibit anomalous power-law transport, while Rudin–Shapiro structures exhibit a distinct logarithmic regime.

Recorded limitations

These are modelled transport regimes under specified optical assumptions. The logarithmic result is associated with Rudin–Shapiro structures, not a finding unique to Fibonacci sequences.

Evidence and provenance

Chapter Trust Factor uses a minimum of three distinct qualifying studies. Publication records retain their own evidence and assessment.

Study design and assessment
design
Numerical wave transport and analytical fractional-dynamics modelling
assessment
is Randomized Controlled Trial
false
blinding
Not applicable to a clinical-trial grade
basis
Numerical wave transport and analytical fractional-dynamics modelling. No human randomized controlled trial is reported.
sources

https://www.nature.com/articles/s41598-017-02170-9

category
peer-reviewed
peer Reviewed
true
trust Factor
score
1
scope
Paper
status
assessed
randomized Controlled Trial
false
blinding
not-confirmed
peer Reviewed
true
basis
Numerical wave transport and analytical fractional-dynamics modelling. No human randomized controlled trial is reported.
sources

https://pubmed.ncbi.nlm.nih.gov/28536441/ · https://www.nature.com/articles/s41598-017-02170-9

review Scope
Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.
assessed At
2026-10-27
jadad
status
not-applicable
score
Not recorded
reason
Not a human randomized controlled trial.
evidence
evidence Type
Numerical wave transport and analytical fractional-dynamics modelling
evidence Class
computational_model
measurement
Time-domain transfer matrices and fractional transport models
measured Genes
None recorded
pathways
None recorded
relationship Note
Background literature only. This paper does not test or validate an OXTR–Fibonacci relationship.
clinical Evidence
false
review Depth
Abstract and selected source passages: Tunable anomalous photon transport in Fibonacci and Thue-Morse structures; Conclusions; Methods.
full Paper Appraisal
Not completed; review depth states the material assessed.
Topics and recorded topic scores
  1. key
    general:fibonacci-aperiodic-structures
    title
    Aperiodic structures and wave computation
    collection
    general
    trust Score
    1
Citation snapshot and identifiers
id
nature-fibonacci-s41598-017-02170-9
doi
10.1038/s41598-017-02170-9
pmid
28536441
citation Snapshot
count
23
source
Crossref cited-by count
retrieved At
2026-10-24
url
https://api.crossref.org/works/10.1038/s41598-017-02170-9
field
is-referenced-by-count
source Indexed At
2026-06-17T18:07:19Z
coverage Note
Count reflects Crossref-deposited references and can differ from publisher or other database totals. It is not a quality or clinical-evidence score.
citations By Collection
general
23
Complete approved library record
id
nature-fibonacci-s41598-017-02170-9
aliases
None recorded
title
Fractional Transport of Photons in Deterministic Aperiodic Structures
journal
Scientific Reports
publisher Family
nature
publisher Family Label
Nature Portfolio
neurotransmitters
None recorded
year
2017
authors
Luca Dal Negro; Sandeep Inampudi
design
Numerical wave transport and analytical fractional-dynamics modelling
kind
Journal article
identity Conflict
Not recorded
doi
10.1038/s41598-017-02170-9
pmid
28536441
urls

https://www.nature.com/articles/s41598-017-02170-9 · https://doi.org/10.1038/s41598-017-02170-9 · https://pubmed.ncbi.nlm.nih.gov/28536441/

collections

general

categories

Fibonacci mathematics · Aperiodic structures

targets
None recorded
priority
1
quotes
None recorded
summary
Transfer-matrix simulations compare photon propagation in deterministic aperiodic structures. Fibonacci and Thue–Morse stacks exhibit anomalous power-law transport, while Rudin–Shapiro structures exhibit a distinct logarithmic regime.
limitation
These are modelled transport regimes under specified optical assumptions. The logarithmic result is associated with Rudin–Shapiro structures, not a finding unique to Fibonacci sequences.
citation Count
23
citation Snapshot
count
23
source
Crossref cited-by count
retrieved At
2026-10-24
url
https://api.crossref.org/works/10.1038/s41598-017-02170-9
field
is-referenced-by-count
source Indexed At
2026-06-17T18:07:19Z
coverage Note
Count reflects Crossref-deposited references and can differ from publisher or other database totals. It is not a quality or clinical-evidence score.
study Design Assessment
is Randomized Controlled Trial
false
blinding
Not applicable to a clinical-trial grade
basis
Numerical wave transport and analytical fractional-dynamics modelling. No human randomized controlled trial is reported.
sources

https://www.nature.com/articles/s41598-017-02170-9

category
peer-reviewed
peer Reviewed
true
paper Trust Assessment
score
1
scope
Paper
status
assessed
randomized Controlled Trial
false
blinding
not-confirmed
peer Reviewed
true
basis
Numerical wave transport and analytical fractional-dynamics modelling. No human randomized controlled trial is reported.
sources

https://pubmed.ncbi.nlm.nih.gov/28536441/ · https://www.nature.com/articles/s41598-017-02170-9

review Scope
Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.
assessed At
2026-10-27
citations By Collection
general
23
topics
  1. key
    general:fibonacci-aperiodic-structures
    title
    Aperiodic structures and wave computation
    collection
    general
    trust Score
    1
journal Key
scientificreports
journal Label
Scientific Reports
chapter Entries
  1. id
    general-nature-fibonacci-s41598-017-02170-9
    title
    Fractional Transport of Photons in Deterministic Aperiodic Structures
    journal
    Scientific Reports
    year
    2017
    authors
    Luca Dal Negro; Sandeep Inampudi
    doi
    10.1038/s41598-017-02170-9
    pmid
    28536441
    urls

    https://www.nature.com/articles/s41598-017-02170-9 · https://doi.org/10.1038/s41598-017-02170-9 · https://pubmed.ncbi.nlm.nih.gov/28536441/

    design
    Numerical wave transport and analytical fractional-dynamics modelling
    summary
    Transfer-matrix simulations compare photon propagation in deterministic aperiodic structures. Fibonacci and Thue–Morse stacks exhibit anomalous power-law transport, while Rudin–Shapiro structures exhibit a distinct logarithmic regime.
    limitation
    These are modelled transport regimes under specified optical assumptions. The logarithmic result is associated with Rudin–Shapiro structures, not a finding unique to Fibonacci sequences.
    citation Count
    23
    citation Snapshot
    count
    23
    source
    Crossref cited-by count
    retrieved At
    2026-10-24
    url
    https://api.crossref.org/works/10.1038/s41598-017-02170-9
    field
    is-referenced-by-count
    source Indexed At
    2026-06-17T18:07:19Z
    coverage Note
    Count reflects Crossref-deposited references and can differ from publisher or other database totals. It is not a quality or clinical-evidence score.
    categories

    Fibonacci mathematics · Aperiodic structures

    targets
    None recorded
    evidence
    evidence Type
    Numerical wave transport and analytical fractional-dynamics modelling
    evidence Class
    computational_model
    measurement
    Time-domain transfer matrices and fractional transport models
    measured Genes
    None recorded
    pathways
    None recorded
    relationship Note
    Background literature only. This paper does not test or validate an OXTR–Fibonacci relationship.
    clinical Evidence
    false
    review Depth
    Abstract and selected source passages: Tunable anomalous photon transport in Fibonacci and Thue-Morse structures; Conclusions; Methods.
    full Paper Appraisal
    Not completed; review depth states the material assessed.
    record Id
    nature-fibonacci-s41598-017-02170-9
    quotes
    None recorded
    source Pages
    None recorded
    paper Trust Assessment
    score
    1
    scope
    Paper
    status
    assessed
    randomized Controlled Trial
    false
    blinding
    not-confirmed
    peer Reviewed
    true
    basis
    Numerical wave transport and analytical fractional-dynamics modelling. No human randomized controlled trial is reported.
    sources

    https://pubmed.ncbi.nlm.nih.gov/28536441/ · https://www.nature.com/articles/s41598-017-02170-9

    review Scope
    Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.
    assessed At
    2026-10-27
    study Design Assessment
    is Randomized Controlled Trial
    false
    blinding
    Not applicable to a clinical-trial grade
    basis
    Numerical wave transport and analytical fractional-dynamics modelling. No human randomized controlled trial is reported.
    sources

    https://www.nature.com/articles/s41598-017-02170-9

    category
    peer-reviewed
    peer Reviewed
    true
    collection
    general
    chapter Number
    9
    topic Id
    fibonacci-aperiodic-structures
    topic Title
    Aperiodic structures and wave computation
    trust Score
    1
evidence
evidence Type
Numerical wave transport and analytical fractional-dynamics modelling
evidence Class
computational_model
measurement
Time-domain transfer matrices and fractional transport models
measured Genes
None recorded
pathways
None recorded
relationship Note
Background literature only. This paper does not test or validate an OXTR–Fibonacci relationship.
clinical Evidence
false
review Depth
Abstract and selected source passages: Tunable anomalous photon transport in Fibonacci and Thue-Morse structures; Conclusions; Methods.
full Paper Appraisal
Not completed; review depth states the material assessed.
jadad
status
not-applicable
score
Not recorded
reason
Not a human randomized controlled trial.
condition Evidence
None recorded
conditions
None recorded
topic Trust Scores

1

full Text
status
open-license
retrieval Available
true
url
https://www.nature.com/articles/s41598-017-02170-9
rights
license
http://creativecommons.org/licenses/by/4.0/
authors
Luca, Dal Negro; Sandeep, Inampudi
title
Fractional Transport of Photons in Deterministic Aperiodic Structures
doi
10.1038/s41598-017-02170-9
copyright
2017 The Author(s)
source
https://www.nature.com/articles/s41598-017-02170-9
transformation
Article sections extracted to plain text; navigation and recommendation sections removed. Equations, tables and image content may be incomplete; use the source for technical interpretation.
sha256
2957f3c2df2a315e48e5548e7ce1f85bec00e1337fd84629ef1d7e235784e6c3
checked At
2026-10-24

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