摘要

We analyse the fundamental space-filling mode of photonic crystal fibres using known results from group theory. In photonic crystal fibres based on both hexagonal lattices and square lattices, this mode can be analytically computed most accurately from an equivalent circular unit cell having the same area as the original unit cell and the boundary conditions are perfect electric and perfect magnetic conductors for the electromagnetic field. We also show how the boundary conditions for the elementary piece used in numerical analysis are associated with the symmetry-induced results and the degeneracy of the fundamental space-filling mode of a rectangular photonic crystal fibre is lifted.