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Focusing performance of Fibonacci tiling-based zone plates

Adrián Garmendía-Martínez; Francisco M. Muñoz Pérez; Juan C. Castro Palacio; Walter D. Furlan; Vicente Ferrando; Juan A. Monsoriu · Scientific Reports · 2026 · Diffractive-optics simulations and experimental measurements

Original publication · Original publication · Original publication

Recorded summary

Rectangular transparent and opaque elements generated from two-dimensional Fibonacci substitution rules form zone plates. Simulations and optical measurements characterize their axial focusing and transverse diffraction patterns.

Recorded limitations

The findings apply to the tested optical designs and measurements. They do not establish a general imaging advantage across biological samples or applications; appraisal here is abstract-level.

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
Diffractive-optics simulations and experimental measurements
assessment
is Randomized Controlled Trial
false
blinding
Not applicable to a clinical-trial grade
basis
Diffractive-optics simulations and experimental measurements. No human randomized controlled trial is reported.
sources

https://www.nature.com/articles/s41598-026-40652-x

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
Diffractive-optics simulations and experimental measurements. No human randomized controlled trial is reported.
sources

https://pubmed.ncbi.nlm.nih.gov/41741524/ · https://www.nature.com/articles/s41598-026-40652-x

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
Diffractive-optics simulations and experimental measurements
evidence Class
physical_experiment_and_computation
measurement
Fibonacci tiling-based zone plates; axial and transverse intensity patterns
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: Abstract; publisher metadata.
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-s41598-026-40652-x
doi
10.1038/s41598-026-40652-x
pmid
41741524
citation Snapshot
count
0
source
Crossref cited-by count
retrieved At
2026-10-24
url
https://api.crossref.org/works/10.1038/s41598-026-40652-x
field
is-referenced-by-count
source Indexed At
2026-04-01T12:04:16Z
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
0
Complete approved library record
id
nature-fibonacci-s41598-026-40652-x
aliases
None recorded
title
Focusing performance of Fibonacci tiling-based zone plates
journal
Scientific Reports
publisher Family
nature
publisher Family Label
Nature Portfolio
neurotransmitters
None recorded
year
2026
authors
Adrián Garmendía-Martínez; Francisco M. Muñoz Pérez; Juan C. Castro Palacio; Walter D. Furlan; Vicente Ferrando; Juan A. Monsoriu
design
Diffractive-optics simulations and experimental measurements
kind
Journal article
identity Conflict
Not recorded
doi
10.1038/s41598-026-40652-x
pmid
41741524
urls

https://www.nature.com/articles/s41598-026-40652-x · https://doi.org/10.1038/s41598-026-40652-x · https://pubmed.ncbi.nlm.nih.gov/41741524/

collections

general

categories

Fibonacci mathematics · Aperiodic structures

targets
None recorded
priority
1
quotes
None recorded
summary
Rectangular transparent and opaque elements generated from two-dimensional Fibonacci substitution rules form zone plates. Simulations and optical measurements characterize their axial focusing and transverse diffraction patterns.
limitation
The findings apply to the tested optical designs and measurements. They do not establish a general imaging advantage across biological samples or applications; appraisal here is abstract-level.
citation Count
0
citation Snapshot
count
0
source
Crossref cited-by count
retrieved At
2026-10-24
url
https://api.crossref.org/works/10.1038/s41598-026-40652-x
field
is-referenced-by-count
source Indexed At
2026-04-01T12:04:16Z
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
Diffractive-optics simulations and experimental measurements. No human randomized controlled trial is reported.
sources

https://www.nature.com/articles/s41598-026-40652-x

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
Diffractive-optics simulations and experimental measurements. No human randomized controlled trial is reported.
sources

https://pubmed.ncbi.nlm.nih.gov/41741524/ · https://www.nature.com/articles/s41598-026-40652-x

review Scope
Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.
assessed At
2026-10-27
citations By Collection
general
0
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-s41598-026-40652-x
    title
    Focusing performance of Fibonacci tiling-based zone plates
    journal
    Scientific Reports
    year
    2026
    authors
    Adrián Garmendía-Martínez; Francisco M. Muñoz Pérez; Juan C. Castro Palacio; Walter D. Furlan; Vicente Ferrando; Juan A. Monsoriu
    doi
    10.1038/s41598-026-40652-x
    pmid
    41741524
    urls

    https://www.nature.com/articles/s41598-026-40652-x · https://doi.org/10.1038/s41598-026-40652-x · https://pubmed.ncbi.nlm.nih.gov/41741524/

    design
    Diffractive-optics simulations and experimental measurements
    summary
    Rectangular transparent and opaque elements generated from two-dimensional Fibonacci substitution rules form zone plates. Simulations and optical measurements characterize their axial focusing and transverse diffraction patterns.
    limitation
    The findings apply to the tested optical designs and measurements. They do not establish a general imaging advantage across biological samples or applications; appraisal here is abstract-level.
    citation Count
    0
    citation Snapshot
    count
    0
    source
    Crossref cited-by count
    retrieved At
    2026-10-24
    url
    https://api.crossref.org/works/10.1038/s41598-026-40652-x
    field
    is-referenced-by-count
    source Indexed At
    2026-04-01T12:04:16Z
    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
    Diffractive-optics simulations and experimental measurements
    evidence Class
    physical_experiment_and_computation
    measurement
    Fibonacci tiling-based zone plates; axial and transverse intensity patterns
    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: Abstract; publisher metadata.
    full Paper Appraisal
    Not completed; review depth states the material assessed.
    record Id
    nature-fibonacci-s41598-026-40652-x
    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
    Diffractive-optics simulations and experimental measurements. No human randomized controlled trial is reported.
    sources

    https://pubmed.ncbi.nlm.nih.gov/41741524/ · https://www.nature.com/articles/s41598-026-40652-x

    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
    Diffractive-optics simulations and experimental measurements. No human randomized controlled trial is reported.
    sources

    https://www.nature.com/articles/s41598-026-40652-x

    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
Diffractive-optics simulations and experimental measurements
evidence Class
physical_experiment_and_computation
measurement
Fibonacci tiling-based zone plates; axial and transverse intensity patterns
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: Abstract; publisher metadata.
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
not-indexed
retrieval Available
false

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