Improved fully vectorial effective index method for photonic crystal fibers: evaluation and enhancement
Applied Optics, Vol. 47, Issue 3, pp. 399-406 (2008)
http://dx.doi.org/10.1364/AO.47.000399
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Abstract
In the effective index method, which models photonic crystal fibers by means of a step-index waveguide analogy, two critical parameters are the effective index of the cladding and the effective core radius. It has been shown that the use of an effective core radius as a function of the relative air hole diameter, or also of the relative wavelength, can improve the accuracy of this method. We show, by comparison with a rigorous finite-difference frequency-domain method, that the reported improved fully vectorial effective index methods have commonly adopted a radius of the equivalent circular unit cell, which does not give the best accurate effective cladding index as compared with the use of an equivalent circular unit cell having the same area as the hexagonal unit cell. Furthermore, by defining both the radius of the equivalent circular unit cell and the effective core radius as a function of the relative air hole diameter, and the relative wavelength, we believe that the fully vectorial effective index method can be further enhanced in terms of accuracy of both the effective cladding index and the modal index.
© 2008 Optical Society of America
OCIS Codes
(000.4430) General : Numerical approximation and analysis
(060.2310) Fiber optics and optical communications : Fiber optics
(060.2400) Fiber optics and optical communications : Fiber properties
ToC Category:
Fiber Optics and Optical Communications
History
Original Manuscript: September 26, 2007
Manuscript Accepted: November 16, 2007
Published: January 17, 2008
Citation
Yanfeng Li, Yuhong Yao, Minglie Hu, Lu Chai, and Chingyue Wang, "Improved fully vectorial effective index method for photonic crystal fibers: evaluation and enhancement," Appl. Opt. 47, 399-406 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-3-399
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