Basics of averaging of the Maxwell equations

Details Basics of averaging of the Maxwell equations Basics of averaging of the Maxwell equations

2011-06-20

arxiv.org/abs/1106.3835v1

Physics

Optics

15 pages, no figures

Scientific paper

Volume or statistical averaging of the microscopic Maxwell equations (MEs), i.e. transition from microscopic MEs to their macroscopic counterparts, is one of the main steps in electrodynamics of materials. In spite of the fundamental importance of the averaging procedure, it is quite rarely properly discussed in university courses and respective books; up to now there is no established consensus about how the averaging procedure has to be performed. In this paper we show that there are some basic principles for the averaging procedure (irrespective to what type of material is studied) which have to be satisfied. Any homogenization model has to be consistent with the basic principles. In case of absence of this correlation of a particular model with the basic principles the model could not be accepted as a credible one. Another goal of this paper is to establish the averaging procedure for metamaterials, which is rather close to the case of compound materials but should include magnetic response of the inclusions and their clusters. We start from the consideration of bulk materials, which means in the vast majority of cases that we consider propagation of an electromagnetic wave far from the interfaces, where the eigenwave in the medium has been already formed and stabilized. A basic structure for discussion about boundary conditions and layered metamaterials is a subject of separate publication and will be done elsewhere.

Affiliated with

Also associated with

No associations

Rating

Basics of averaging of the Maxwell equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Basics of averaging of the Maxwell equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Basics of averaging of the Maxwell equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-254811