Nonlinear whispering gallery modes

The stationary lasing of the modes in a microdisk is formulated as a nonlin ear eigenvalue problem for a nonlinear Maxwell equation. It is shown that w hispering gallery modes can be obtained as stationary lasing solutions with finite pumping thresholds. Further, it is discovered that whispering galle ry lasing modes can exist even though the angle of incidence to the disk bo undary is smaller than the critical angle for total internal reflection.