Abstract
The polarization and magnetization degrees of freedom are included in the general treatment of the electromagnetic field in matter, and their governing equations are given. Particular cases of solutions are discussed for polarizable, non-magnetic matter, including quasi-static fields, surface plasmons, propagation, zero-point fluctuations of the eigenmodes, especially for a semi-infinite homogeneous body (half-space). The van der Waals London-Casimir force acting between a neutral nano-particle and a half-space is computed and the response of this electromagnetically coupled system to an external field is given, with relevance for the surface enhanced Raman scattering.
Highlights
IntroductionThe magnetic term of the Lorentz force is usually absent in equation (2) (and the equation is non-relativistic), since the velocity of charges in matter is small, on one hand, and, on the other, the displacement u is sufficiently small to limit ourselves to linear terms only
General theoryWith usual notations the Maxwell equations in matter read divD = 4πρ0, divB = 0, (1) curlE = − 1 c ∂B ∂t curlH = ∂D ∂t + 4π c j0
The van der Waals-London-Casimir force acting between a neutral nano-particle and a half-space is computed and the response of this electromagnetically coupled system to an external field is given, with relevance for the surface enhanced Raman scattering
Summary
The magnetic term of the Lorentz force is usually absent in equation (2) (and the equation is non-relativistic), since the velocity of charges in matter is small, on one hand, and, on the other, the displacement u is sufficiently small to limit ourselves to linear terms only This is the well-known Drude-Lorentz (plasma) model of polarizable matter.[1]-[3] The point is that the equation of motion (2) provides a third equation for the four unknowns: E, u, B and H. For the usual case of polarizable non-magnetic matter, we can find the plasmon and polariton eigenmodes, especially for infinite or semi-infinite (half-space) matter.[10, 11] We can thereby describe the propagation of electromagnetic field in matter, as well as the interaction of the electromagnetic field with finite-size bodies, both in the near-field (sub-wavelength, quasi-static) regime and the wave (radiation) zone. The scattering of the electromagnetic waves by small particles or inhomogeneities, including the rough surface of a semi-infinite solid,[16] is amenable to such a treatment
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
