Multipole-cancellation mechanism for high-Q cavities in the absence of a complete photonic band gap

We describe and demonstrate a new mechanism for low radiation losses in str uctures lacking a complete band gap, and show how resonant cavities with Q > 10(3) can be achieved without sacrificing strong localization in 3d. This involves a forced cancellation in the lowest-order term(s) of the multipol e far-field radiation expansion. We focus on the system of photonic-crystal slabs, one- to two-dimensionally periodic dielectric structures of finite height with vertical index guiding. Simulations and analytical results in 2 d and 3d are presented. (C) 2001 American Institute of Physics.