Quantum Electromagnetics: A New Look, Part II∗

In Part II, quantum electromagnetics (quantization of electromagnetic fields) will be extended to the anisotropic inhomogeneous medium case. This, as far as we know, has not been done before. Furthermore, connection with the mode decomposition approach will be made including the anisotropic inhomogeneous medium case. Two kinds of modes will be identified: the traveling wave case and the standing wave case. Each of them presents a different picture of the modes, and their physical pictures will be explained. Next, the case of impressed sources will be introduced in both classical and quantum Hamiltonian mechanics. This is similar to the concept of impressed current sources in classical electromagnetics. Moreover, for a linear time invariant system, it can be shown that the solution can be more compactly written by the introduction of the Green’s function as in the classical electromagnetics case [9, 10]. The illustrations of the use of Green’s functions in both the vector and scalar potential cases will be given. The methods outlined in this part portend well for the development of new quantum technologies.