Rayleigh Anomaly Induced Phase Gradients in Finite Nanoparticle Chains Article Swipe
Lior Michaeli
,
Ofer Doron
,
Yakir Hadad
,
Haim Suchowski
,
Tal Ellenbogen
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2212.08770
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2212.08770
We report on the theoretical study of anomalous phase gradients induced by Rayleigh anomalies in finite nanoparticle chains. These phase gradients, defined with respect to the phase of the applied plane wave, cause a deviation of the diffraction directions from the chain relative to the direction expected from the grating equation for infinite chains. To study the effect theoretically, we use an analytical approach based on the discrete dipole approximation, which reveals the combinatorial nature of the multi-scattering process that governs the chain dynamics. We find an approximate closed-form solution to the particles' dipole moments by describing the single reciprocal system with a successive solution of two non-reciprocal, one-way systems. Within this framework, we obtain the chain excitation by means of interference between different scattering paths. Moreover, we show that the dipole moments along the chain are governed by recursive relations dictated by the generalized Fibonacci series. The presented results provide a new perspective for understanding nanoparticle arrays' dynamics. Specifically, the unique approach for analytically analyzing the spatial excitations of the array inclusions may shed new light on emerging applications of periodic traveling wave antennas in the optical regime, such as LIDARs, topological states analysis and arbitrary beam shaping schemes.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2212.08770
- https://arxiv.org/pdf/2212.08770
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
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https://openalex.org/W4312046431Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2212.08770Digital Object Identifier
- Title
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Rayleigh Anomaly Induced Phase Gradients in Finite Nanoparticle ChainsWork title
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preprintOpenAlex work type
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enPrimary language
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2022Year of publication
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2022-12-17Full publication date if available
- Authors
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Lior Michaeli, Ofer Doron, Yakir Hadad, Haim Suchowski, Tal EllenbogenList of authors in order
- Landing page
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https://arxiv.org/abs/2212.08770Publisher landing page
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https://arxiv.org/pdf/2212.08770Direct link to full text PDF
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2212.08770Direct OA link when available
- Concepts
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Dipole, Physics, Phase (matter), Fibonacci number, Diffraction, Rayleigh scattering, Reciprocity (cultural anthropology), Scattering, Plane wave, Statistical physics, Optics, Quantum mechanics, Mathematics, Psychology, Social psychology, Discrete mathematicsTop concepts (fields/topics) attached by OpenAlex
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.regime, | 188 |
| abstract_inverted_index.respect | 23 |
| abstract_inverted_index.results | 149 |
| abstract_inverted_index.reveals | 71 |
| abstract_inverted_index.series. | 146 |
| abstract_inverted_index.shaping | 198 |
| abstract_inverted_index.spatial | 167 |
| abstract_inverted_index.Rayleigh | 12 |
| abstract_inverted_index.analysis | 194 |
| abstract_inverted_index.antennas | 184 |
| abstract_inverted_index.approach | 63, 162 |
| abstract_inverted_index.dictated | 141 |
| abstract_inverted_index.discrete | 67 |
| abstract_inverted_index.emerging | 178 |
| abstract_inverted_index.equation | 50 |
| abstract_inverted_index.expected | 46 |
| abstract_inverted_index.governed | 137 |
| abstract_inverted_index.infinite | 52 |
| abstract_inverted_index.periodic | 181 |
| abstract_inverted_index.relative | 42 |
| abstract_inverted_index.schemes. | 199 |
| abstract_inverted_index.solution | 89, 104 |
| abstract_inverted_index.systems. | 109 |
| abstract_inverted_index.Fibonacci | 145 |
| abstract_inverted_index.Moreover, | 126 |
| abstract_inverted_index.analyzing | 165 |
| abstract_inverted_index.anomalies | 13 |
| abstract_inverted_index.anomalous | 7 |
| abstract_inverted_index.arbitrary | 196 |
| abstract_inverted_index.deviation | 34 |
| abstract_inverted_index.different | 123 |
| abstract_inverted_index.direction | 45 |
| abstract_inverted_index.dynamics. | 83, 158 |
| abstract_inverted_index.gradients | 9 |
| abstract_inverted_index.presented | 148 |
| abstract_inverted_index.recursive | 139 |
| abstract_inverted_index.relations | 140 |
| abstract_inverted_index.traveling | 182 |
| abstract_inverted_index.analytical | 62 |
| abstract_inverted_index.describing | 96 |
| abstract_inverted_index.directions | 38 |
| abstract_inverted_index.excitation | 117 |
| abstract_inverted_index.framework, | 112 |
| abstract_inverted_index.gradients, | 20 |
| abstract_inverted_index.inclusions | 172 |
| abstract_inverted_index.particles' | 92 |
| abstract_inverted_index.reciprocal | 99 |
| abstract_inverted_index.scattering | 124 |
| abstract_inverted_index.successive | 103 |
| abstract_inverted_index.approximate | 87 |
| abstract_inverted_index.closed-form | 88 |
| abstract_inverted_index.diffraction | 37 |
| abstract_inverted_index.excitations | 168 |
| abstract_inverted_index.generalized | 144 |
| abstract_inverted_index.perspective | 153 |
| abstract_inverted_index.theoretical | 4 |
| abstract_inverted_index.topological | 192 |
| abstract_inverted_index.analytically | 164 |
| abstract_inverted_index.applications | 179 |
| abstract_inverted_index.interference | 121 |
| abstract_inverted_index.nanoparticle | 16, 156 |
| abstract_inverted_index.Specifically, | 159 |
| abstract_inverted_index.combinatorial | 73 |
| abstract_inverted_index.understanding | 155 |
| abstract_inverted_index.approximation, | 69 |
| abstract_inverted_index.theoretically, | 58 |
| abstract_inverted_index.non-reciprocal, | 107 |
| abstract_inverted_index.multi-scattering | 77 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 5 |
| citation_normalized_percentile |