The resonant modes of rectangular two-dimensional optical resonators were analyzed exactly. Based on the characteristics of the Bessel function, the resonant frequencies of the rectangular microcavities are expressed in a simple way. In addition, a simple rule to judge when the finite length of a rectangular resonator can be considered infinite is given in realistic applications. The solution that is presented should be useful in possible applications of the rectangular resonators as filters for dense wavelength-division multiplexing.
© 2006 Optical Society of America
Original Manuscript: January 19, 2006
Revised Manuscript: March 1, 2006
Manuscript Accepted: March 6, 2006
Jiu Hui Wu and A. Q. Liu, "Exact solution of resonant modes in a rectangular resonator," Opt. Lett. 31, 1720-1722 (2006)