线性响应理论中时间色散和耗散介质的哈密顿处理
Hamiltonian treatment of time dispersive and dissipative media within the linear response theory
摘要：
我们开发了一个时间色散和耗散（TDD）的非均匀介质的哈密顿理论，所描述的线性响应方程尊重因果关系和功耗。本文构造的正则哈密顿量精确地再现了对辅助场积分后的耗散演化。特别地，对于电介质，我们得到了一个简单的哈密顿公式和封闭形式的能量密度和能量通量的表达式，涉及辅助场。所开发的方法还允许处理一个长期存在的问题，从一个有损耗的非球形障碍物的散射，更一般地说，波在TDD介质中的传播。
英文摘要：
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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