Classical dynamics of a moving mirror due to radiation pressure

8th International Symposium on Quantum Theory and Symmetries

Castaños, L.O.^1 ; Weder, R.^1

Departamento de Física Matemática, Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Apartado Postal 20-726, México DF 01000, Mexico^1

关键词: Approximate analytic solutions;    Cavity resonance frequency;    One-dimensional cavities;    Periodic potentials;    Physical interpretation;    Position dependents;    Radiation pressure;    Rotating wave approximations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/512/1/012005/pdf
DOI  :  10.1088/1742-6596/512/1/012005

来源: IOP

【 摘 要 】

We investigate the classical dynamics of a thin moving mirror with non-zero transparency interacting with a laser by means of radiation pressure. The thin moving mirror is modelled by a delta function and it is part of a one-dimensional cavity where the other mirror is perfect and fixed at a position. We use the exact modes of the system so that the transparency and the mirror-position dependent cavity resonance frequencies are built into them. We derive the radiation pressure force from a periodic potential with period half the wavelength of the field and this allows us to give direct physical interpretations of the dynamics of the system and to obtain approximate analytic solutions. We show that within the rotating-wave-approximation the movable mirror can exhibit either a bounded or unbounded motion governed by an approaching to and a withdrawing from resonant positions where the frequency of the field is similar to one of the cavity resonance frequencies.