dorsal/arxiv
View SchemaAnderson Localization of Polar Eigenmodes in Random Planar Composites
| Authors | Vadim A. markel |
|---|---|
| Categories | |
| ArXiv ID | physics/0602098 |
| URL | https://arxiv.org/abs/physics/0602098 |
| DOI | 10.1088/0953-8984/18/49/009 |
| Journal | J. Phys.: Condens. Matter 18, 11149-11165 (2006) |
Abstract
Anderson localization of classical waves in disordered media is a fundamental physical phenomenon that has attracted attention in the past three decades. More recently, localization of polar excitations in nanostructured metal-dielectric films (also known as random planar composite) has been subject of intense studies. Potential applications of planar composites include local near-field microscopy and spectroscopy. A number of previous studies have relied on the quasistatic approximation and a direct analogy with localization of electrons in disordered solids. Here I consider the localization problem without the quasistatic approximation. I show that localization of polar excitations is characterized by algebraic rather than by exponential spatial confinement. This result is also valid in two and three dimensions. I also show that the previously used localization criterion based on the gyration radius of eigenmodes is inconsistent with both exponential and algebraic localization. An alternative criterion based on the dipole participation number is proposed. Numerical demonstration of a localization-delocalization transition is given. Finally, it is shown that, contrary to the previous belief, localized modes can be effectively coupled to running waves.
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"abstract": "Anderson localization of classical waves in disordered media is a fundamental\nphysical phenomenon that has attracted attention in the past three decades.\nMore recently, localization of polar excitations in nanostructured\nmetal-dielectric films (also known as random planar composite) has been subject\nof intense studies. Potential applications of planar composites include local\nnear-field microscopy and spectroscopy. A number of previous studies have\nrelied on the quasistatic approximation and a direct analogy with localization\nof electrons in disordered solids. Here I consider the localization problem\nwithout the quasistatic approximation. I show that localization of polar\nexcitations is characterized by algebraic rather than by exponential spatial\nconfinement. This result is also valid in two and three dimensions. I also show\nthat the previously used localization criterion based on the gyration radius of\neigenmodes is inconsistent with both exponential and algebraic localization. An\nalternative criterion based on the dipole participation number is proposed.\nNumerical demonstration of a localization-delocalization transition is given.\nFinally, it is shown that, contrary to the previous belief, localized modes can\nbe effectively coupled to running waves.",
"arxiv_id": "physics/0602098",
"authors": [
"Vadim A. markel"
],
"categories": [
"physics.optics",
"physics.comp-ph"
],
"doi": "10.1088/0953-8984/18/49/009",
"journal_ref": "J. Phys.: Condens. Matter 18, 11149-11165 (2006)",
"title": "Anderson Localization of Polar Eigenmodes in Random Planar Composites",
"url": "https://arxiv.org/abs/physics/0602098"
},
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