dorsal/arxiv
View SchemaParameterizing Quasiperiodicity: Generalized Poisson Summation and Its Application to Modified-Fibonacci Antenna Arrays
| Authors | Vincenzo Galdi, Giuseppe Castaldi, Vincenzo Pierro, Innocenzo M. Pinto, Leopold B. Felsen |
|---|---|
| Categories | |
| ArXiv ID | physics/0502093 |
| URL | https://arxiv.org/abs/physics/0502093 |
| DOI | 10.1109/TAP.2005.848514 |
Abstract
The fairly recent discovery of "quasicrystals", whose X-ray diffraction patterns reveal certain peculiar features which do not conform with spatial periodicity, has motivated studies of the wave-dynamical implications of "aperiodic order". Within the context of the radiation properties of antenna arrays, an instructive novel (canonical) example of wave interactions with quasiperiodic order is illustrated here for one-dimensional (1-D) array configurations based on the "modified-Fibonacci" sequence, with utilization of a two-scale generalization of the standard Poisson summation formula for periodic arrays. This allows for a "quasi-Floquet" analytic parameterization of the radiated field, which provides instructive insights into some of the basic wave mechanisms associated with quasiperiodic order, highlighting similarities and differences with the periodic case. Examples are shown for quasiperiodic infinite and spatially-truncated arrays, with brief discussion of computational issues and potential applications.
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"abstract": "The fairly recent discovery of \"quasicrystals\", whose X-ray diffraction\npatterns reveal certain peculiar features which do not conform with spatial\nperiodicity, has motivated studies of the wave-dynamical implications of\n\"aperiodic order\". Within the context of the radiation properties of antenna\narrays, an instructive novel (canonical) example of wave interactions with\nquasiperiodic order is illustrated here for one-dimensional (1-D) array\nconfigurations based on the \"modified-Fibonacci\" sequence, with utilization of\na two-scale generalization of the standard Poisson summation formula for\nperiodic arrays. This allows for a \"quasi-Floquet\" analytic parameterization of\nthe radiated field, which provides instructive insights into some of the basic\nwave mechanisms associated with quasiperiodic order, highlighting similarities\nand differences with the periodic case. Examples are shown for quasiperiodic\ninfinite and spatially-truncated arrays, with brief discussion of computational\nissues and potential applications.",
"arxiv_id": "physics/0502093",
"authors": [
"Vincenzo Galdi",
"Giuseppe Castaldi",
"Vincenzo Pierro",
"Innocenzo M. Pinto",
"Leopold B. Felsen"
],
"categories": [
"physics.optics",
"physics.gen-ph"
],
"doi": "10.1109/TAP.2005.848514",
"title": "Parameterizing Quasiperiodicity: Generalized Poisson Summation and Its Application to Modified-Fibonacci Antenna Arrays",
"url": "https://arxiv.org/abs/physics/0502093"
},
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