Polarization dependence of lasing modes in two-dimensional random lasers

The time dependent theory of random laser is developed from transverse magnetic field to transverse electric field. Polarization dependence of random lasing phenomenon is investigated by considering both fields in two-dimensional random media via numerically solving Maxwell's equations coupled with rate equations of a four-level atom system. Results show that the field pattern, emission spectrum and total power density are polarization dependent. By comparison, transverse magnetic fields have lower loss and could oscillate preferentially in random media.