Cavity with an embedded polarized film: an adapted spectral approach

Abstract

We consider the modes of the electric field of a cavity where there is an embedded polarized dielectric film. The model consists in the Maxwell equations coupled to a Duffing oscillator for the film which we assume infinitely thin. We derive the normal modes of the system and show that they are orthogonal with a special scalar product which we introduce.These modes are well suited to describe the system even for a film of finite thickness. By acting on the film we demonstrate switching from one cavity mode to another. Since the system is linear, little energy is needed for this conversion. Moreover the amplitude equations describe very well 1 this complex system under different perturbations (damping, forcing and nonlinearity) with very few modes. These results are very general and can be applied to different situations like for an atom in a cavity or a Josephson junction in a capacitor and this could be very useful for many nano-physics applications.

Interaction of fast and slow varying electromagnetic waves propagating in paraelectric or ferroelectric material

“…To find equation for slowly varying envelopes of fast part of the polarization, it is necessary for one to take Fourier transformation of the base equation for polarization (4). This leads to:…”

“…Nonlinear optical phenomena in the ferroelectric have been considered. The self-focusing of the few-cycle pulses in ferroelectric [1], the self-interaction processes [2][3][4][5][6][7][8], the soliton generation [9][10][11][12], the second harmonic generation [13][14][15] have been investigated in the last ten-fifteen years.…”