Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Elastodynamic Model for Nanophotonics   A self-consistent theory for the classical description of the interaction of
light and matter at the nano-scale is presented, which takes into account
spatial dispersion. Up to now, the Maxwell equations in nanostructured
materials with spatial dispersion have been solved by the introduction of the
so-called Additional Boundary Conditions. In this paper, we derive an approach
where non-local effects are studied in a precise and uniquely defined way, thus
allowing the treatment of all solid-solid interfaces (metals, semiconductors or
insulators), as well as solid-vacuum interfaces in the same framework. The
theory is based on the derivation of a potential energy for an ensemble of
electrons in a given potential, where the deformation of the ensemble is
treated as in a solid, including both shear and compressional deformations,
instead of a fluid described only by a bulk compressibility like in the
hydrodynamical approach. The derived classical equation of motion for the
ensemble describes the deformation vector and the corresponding polarization
vector as an elastodynamic field, including viscous forces, from which a
generalized non-local constitutive equation for the dielectric constant is
derived. Boundary conditions are identical to that of elastodynamics and they
emerge in a natural way, without any physical hypothesis outside the current
description, as it is commonly required in other non-local approaches. This
description does not require the discontinuity of any component of the
electric, magnetic or polarization fields and, consequently, no bounded
currents or charges are present at the interface, which is a more suitable
description from the microscopic point of view. It is shown that the method
converges to the local boundary conditions in the low spatial dispersion limit
for insulators and conductors, quantified by means of a parameter defined as
the "characteristic length".

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The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th