Lagrangian airborne electromagnetic energy storage technology

How does a wire array contribute to Lagrangian density?

In addition, the wires array contributes partial Lagrangian density which includes the 'kinetic energy' from the magnetic field energy associated with the wire inductance, and the polarization energy due to the work done by the electric field to the moving charges along the wires (i.e., the 'qV' energy).

What are Lagrangians and dissipation functions?

The Lagrangians and dissipation functions are proposed for use in the electrodynamics of the double-negative and chiral metamaterials with finite loss. The double-negative metamaterial considered here is the 'wires and split-rings' periodic structure, while the chiral metamaterial is the 'single-resonance helical resonators' array.

Is the field-matter coupling term hidden in the Lagrangian density?

It is very interesting to note that the field-matter coupling term of the form H · M hidden in the Lagrangian density if we use H instead of B to express the Lagrangian density, as is indicated in the first line of equation ( 12 ).

What is Lagrangian description & Hamiltonian formulation?

The Lagrangian description and Hamiltonian formulation can be further developed for exploring the properties of the elementary excitations or quasiparticles in dispersive metamaterials due to light–matter interactions. Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence.