A meshless method for the solution of full vectorial optical mode fields has been applied to micro-structured optical waveguides. The Finite Cloud Method is used to approximate the solution using a point distribution and material definitions. Presented are two methods of defining material interfaces, one which implements a step index and a second which uses a graded index. Coupled field equations are used to solve for both transverse components of the magnetic field as well as the guided wavelength and effective index of refraction. Comparing results for a ridge waveguide, solid core, micro-structured and air core structures with commercial FEM solvers highlight the methods versatility, accuracy and efficiency.

© 2012 OSA

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3. H. Uranus and H. Hoekstra, “Modelling of microstructured waveguides using a finite-element-based vectorial mode solver with transparent boundary conditions,” Opt. Express12, 2795–2809 (2004). [CrossRef] [PubMed]
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Comput. Methods Appl. Mech. Eng.

• J.-S. Chen, S. Yoon, H.-P. Wang, and W. K. Liu, “An improved reproducing kernel particle method for nearly incompressible finite elasticity,” Comput. Methods Appl. Mech. Eng.181, 117–145 (2000). [CrossRef]

IEEE Photon. Technol. Lett.

• K. Ramm, P. Lusse, and H.-G. Unger, “Multigrid eigenvalue solver for mode calculation of planar optical waveguides,” IEEE Photon. Technol. Lett.9, 967–969 (1997). [CrossRef]

IEEE Trans. Microwave Theory Tech.

• P. McIsaac, “Symmetry-induced modal characteristics of uniform waveguides-i: Summary of results,” IEEE Trans. Microwave Theory Tech.23(5), 421–429 (1975). [CrossRef]

Int. J. Numer. Methods Eng.

• N. Aluru and G. Li, “Finite cloud method: a true meshless technique based on a fixed reproducing kernel approximation,” Int. J. Numer. Methods Eng.50, 2373–2410 (2001). [CrossRef]

J. Lightwave Technol.

• P. S. Russell, “Photonic-crystal fibers,” J. Lightwave Technol.24, 4729–4749 (2006). [CrossRef]
• P. Lusse, P. Stuwe, J. Schule, and H.-G. Unger, “Analysis of vectorial mode fields in optical waveguides by a new finite difference method,” J. Lightwave Technol.12, 487–494 (1994). [CrossRef]

J. Opt. Soc. Am. B

• J.M. Fini, “Improved symmetry analysis of many-moded microstructure optical fibers,” J. Opt. Soc. Am. B21(8), 1431–1436 (2004). [CrossRef]

Materialwiss. Werkstofftech.

• D. Burke, S. Moslemi-Tabrizi, and T. Smy, “Simulation of inhomogeneous models using the finite cloud method,” Materialwiss. Werkstofftech.41, 336–340 (2010). [CrossRef]

Opt. Express

• H. Uranus and H. Hoekstra, “Modelling of microstructured waveguides using a finite-element-based vectorial mode solver with transparent boundary conditions,” Opt. Express12, 2795–2809 (2004). [CrossRef] [PubMed]

Other

• COMSOL Multiphysics, Version 4.1 Comsol Inc. (2011), http://www.comsol.com .
• Rsoft FemSim, Version 3.3 Rsoft Inc. (2011), http://www.rsoftdesign.com/products.php?sub=Component+Design$\&$itm=FemSIM .
• J. D. Jackson, Classical Electrodynamics (Wiley, 1998).
• MathWorks (2011), http://www.mathworks.com/products/matlab/ .
• GNU Octave (2011), http://www.gnu.org/s/octave/ .

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