Maxwell-lagrange system in the theory of optical and magnetic resonances

Pavel A Apanasevich, V. A. Khodovoǐ

Eliade Stefanescu

In this paper we develop a Unitary Quantum Relativistic Theory. We show that the wavy nature of a quantum particle involves the relativistic dynamics of the wave-packet of this particle, and a field of interaction described by Lorentz’s force and three of the four Maxwell equations: the electromagnetic induction law, and the flow laws of the electric and magnetic fields. These equations arise from the group velocity, which is of the form of the Lagrange equation, and from a relativistic principle for wave functions, which asserts that in any system of reference a wave-function has a bounded spectrum with a velocity limit c. When a magnetic circuit law is considered for a field interacting with a quantum particle, this is an electromagnetic field, propagating with the velocity c.

John M. Arnold

Michael Rosenblit, Péter Horák, Steve Helsby +1 more

We investigate the possibility of using dielectric microdisk resonators for the optical detection of single atoms trapped and cooled in magnetic microtraps near the surface of a substrate. The bound and evanescent fields of optical whispering-gallery modes are calculated and the coupling to straight waveguides is investigated using finite-difference time domain solutions of Maxwell's equations. Results are compared with semianalytical solutions based on coupled mode theory. We discuss atom detection efficiencies and the feasibility of nondestructive measurements in such a system depending on key parameters such as disk size, disk-waveguide coupling, and scattering losses.

Nikolai N Rozanov

Abdel-Baset M.A. Ibrahim, P. K. Choudhury

This paper deals with the conceptualization of Maxwell-Duffing theory to model photonic deflection sensor along with functionality, which is based on the phenomena of optical bi- and multistabilities. The sensing system is considered to be consisting of Kerr nonlinear material along with suitably positioned mirrors. The efficacy of the approach is emphasized through a series of numerical simulations, and the reliability of the system is discussed. Effects due to system memory and periodicity in the optical bistability threshold have been demonstrated. It has been found that the approach provides a powerful tool to study optical bistability in resonating structures, particularly for materials with large third-nonlinearity and for operating frequencies near the natural resonance of the material.