OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 16 — Jul. 30, 2012
  • pp: 17783–17796

Optical mode solving for complex waveguides using a finite cloud method

D. R. Burke and T. J. Smy  »View Author Affiliations

Optics Express, Vol. 20, Issue 16, pp. 17783-17796 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (2355 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(060.0060) Fiber optics and optical communications : Fiber optics and optical communications
(060.4005) Fiber optics and optical communications : Microstructured fibers
(060.5295) Fiber optics and optical communications : Photonic crystal fibers

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: April 2, 2012
Revised Manuscript: June 27, 2012
Manuscript Accepted: July 2, 2012
Published: July 20, 2012

D. R. Burke and T. J. Smy, "Optical mode solving for complex waveguides using a finite cloud method," Opt. Express 20, 17783-17796 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. P. S. Russell, “Photonic-crystal fibers,” J. Lightwave Technol.24, 4729–4749 (2006). [CrossRef]
  2. 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]
  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]
  4. 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]
  5. D. Burke, S. Moslemi-Tabrizi, and T. Smy, “Simulation of inhomogeneous models using the finite cloud method,” Materialwiss. Werkstofftech.41, 336–340 (2010). [CrossRef]
  6. 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]
  7. COMSOL Multiphysics, Version 4.1 Comsol Inc. (2011), http://www.comsol.com .
  8. Rsoft FemSim, Version 3.3 Rsoft Inc. (2011), http://www.rsoftdesign.com/products.php?sub=Component+Design$\&$itm=FemSIM .
  9. J. D. Jackson, Classical Electrodynamics (Wiley, 1998).
  10. 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]
  11. MathWorks (2011), http://www.mathworks.com/products/matlab/ .
  12. GNU Octave (2011), http://www.gnu.org/s/octave/ .
  13. P. McIsaac, “Symmetry-induced modal characteristics of uniform waveguides-i: Summary of results,” IEEE Trans. Microwave Theory Tech.23(5), 421–429 (1975). [CrossRef]
  14. J.M. Fini, “Improved symmetry analysis of many-moded microstructure optical fibers,” J. Opt. Soc. Am. B21(8), 1431–1436 (2004). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited