We describe the differential multipole method, an extended multipole method used to calculate the modes of microstructured optical fibers with noncircular inclusions. We use a multipole expansion centered on each inclusion and a differential method to calculate the scattering properties of the individual inclusions. Representative results for a fiber with one ring of elliptical inclusions are presented, and a direct comparison is made with an existing method. The new method is also applied to a microstructured optical fiber with seven rings of elliptical inclusions, which is found, in effect, to support a single polarization of the fundamental mode.
© 2004 Optical Society of America
(060.2280) Fiber optics and optical communications : Fiber design and fabrication
(060.2400) Fiber optics and optical communications : Fiber properties
(060.4510) Fiber optics and optical communications : Optical communications
S. Campbell, R. C. McPhedran, C. Martijn de Sterke, and L. C. Botten, "Differential multipole method for microstructured optical fibers," J. Opt. Soc. Am. B 21, 1919-1928 (2004)