Resonant oscillations of the Stokes parameters in non-linear twisted birefringent mediaR. Seto1, 2, H. Kuratsuji1 and R. Botet2
1 Department of Physics, Ritsumeikan University-BKC Kusatsu City, Shiga 525-8577, Japan
2 Laboratoire de Physique des Solides, Bât. 510, CNRS-UMR8502 Université Paris-Sud, Centre d'Orsay - 91405 Orsay, France
received 18 March 2005; accepted in final form 29 June 2005
published online 27 July 2005
The equations of propagation for the polarisation components of an electromagnetic wave in non-linear birefringent media are often termed "non-linear Schrödinger equations". In this letter, we pursue the analogy between the quantum dynamics of a 2-states oscillator and the time evolution of the wave polarisation. More specifically, we define exactly the optical analogue of the conditions for nuclear magnetic resonance, leading in the optical medium to resonant oscillations of the polarisation state when birefringence is periodically modulated along the wave propagation direction in addition to a static longitudinal magnetic field. Circular polarisation then exhibits Rabi oscillations. The non-linear influence of light intensity on the shape of the resonant polarisation line is discussed precisely.
42.81.Gs - Optics: Birefringence, polarization.
42.65.Sf - Dynamics of non-linear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics.
33.55.Fi - Molecular properties and interaction with photons: Other magnetooptical and electrooptical effects.
© EDP Sciences 2005