dorsal/arxiv
View SchemaHamiltonian treatment of time dispersive and dissipative media within the linear response theory
| Authors | A. Figotin, J. H. Schenker |
|---|---|
| Categories | |
| ArXiv ID | physics/0410127 |
| URL | https://arxiv.org/abs/physics/0410127 |
| DOI | 10.1016/j.cam.2006.01.038 |
| Journal | J. Comp. Appl. Math. 204 (2007), 199-208 |
Abstract
We develop a Hamiltonian theory for a time dispersive and dissipative (TDD) inhomogeneous medium, as described by a linear response equation respecting causality and power dissipation. The canonical Hamiltonian constructed here exactly reproduces the original dissipative evolution after integrating out auxiliary fields. In particular, for a dielectric medium we obtain a simple formula for the Hamiltonian and closed form expressions for the energy density and energy flux involving the auxiliary fields. The developed approach also allows to treat a long standing problem of scattering from a lossy non-spherical obstacle and, more generally, wave propagation in TDD media.
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"abstract": "We develop a Hamiltonian theory for a time dispersive and dissipative (TDD)\ninhomogeneous medium, as described by a linear response equation respecting\ncausality and power dissipation. The canonical Hamiltonian constructed here\nexactly reproduces the original dissipative evolution after integrating out\nauxiliary fields. In particular, for a dielectric medium we obtain a simple\nformula for the Hamiltonian and closed form expressions for the energy density\nand energy flux involving the auxiliary fields. The developed approach also\nallows to treat a long standing problem of scattering from a lossy\nnon-spherical obstacle and, more generally, wave propagation in TDD media.",
"arxiv_id": "physics/0410127",
"authors": [
"A. Figotin",
"J. H. Schenker"
],
"categories": [
"physics.class-ph",
"math-ph",
"math.MP",
"physics.gen-ph"
],
"doi": "10.1016/j.cam.2006.01.038",
"journal_ref": "J. Comp. Appl. Math. 204 (2007), 199-208",
"title": "Hamiltonian treatment of time dispersive and dissipative media within the linear response theory",
"url": "https://arxiv.org/abs/physics/0410127"
},
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