1. Russel, P., "Photonic crystal fibers," Science, Vol. 299, No. 5605, 358-362, Jan. 2003.
doi:10.1126/science.1079280
2. Vassallo, C., Optical Waveguide Concepts, Elsevier, Amsterdam, 1991.
3. Chiou, Y. P., Y. C. Chiang, C. H. Lai, C. H. Du, and H. C. Chang, "Finite difference modeling of dielectric waveguides with corners and slanted facets," Journal of Lightwave Technology, Vol. 27, No. 12, 2077-2086, Dec. 2009.
doi:10.1109/JLT.2008.2006862
4. Brechet, F., J. Marcou, D. Pagnoux, and P. Roy, "Complete analysis of the characteristics of propagation into photonic crystal fibers by the finite element method," Optical Fiber Technology, Vol. 6, 181-191, Apr. 2000.
doi:10.1006/ofte.1999.0320
5. Selleri, S., L. Vincetti, L. A. Cucinotta, and M. Zoboli, "Complex FEM modal solver of optical waveguides with PML boundary conditions," Optical Quantum Electronics, Vol. 33, 359-371, 2001.
doi:10.1023/A:1010886632146
6. Monro, T. M., D. J. Richardson, N. G. R. Broderick, and P. J. Bennett, "Modeling large air fraction holey optical fibers," Journal of Lightwave Technology, Vol. 18, No. 1, 50-56, Jan. 2000.
doi:10.1109/50.818906
7. Alivizatos, E. G., I. D. Chremmos, N. L. Tsitsas, and N. K. Uzunoglu, "Green's-function method for the analysis of propagation in holey fibers," Journal of Optical Society of America, Vol. 21, No. 5, 847-857, May 2004.
doi:10.1364/JOSAA.21.000847
8. White, T. P., B. T. Kuhlmey, R. C. Mcphedran, D. Maystre, G. Renversez, C. Martijn de Sterke, and L. C. Botten, "Multipole method for microstructured optical fibers. I. Formulation," Journal of Optical Society of America, Vol. 19, No. 10, 2322-2330, Oct. 2002.
doi:10.1364/JOSAB.19.002322
9. Lu, W. and Y. Y. Lu, "Efficient boundary integral equation method for photonic crystal fibers," Journal of Lightwave Technology, Vol. 30, No. 11, 1610-1616, Jun. 2012.
doi:10.1109/JLT.2012.2189355
10. Lu, W. and Y. Y. Lu, "Efficient high order waveguide mode solvers based on boundary integral equations," Journal of Computational Physics, Vol. 272, 507-525, Apr. 2014.
doi:10.1016/j.jcp.2014.04.028
11. Song, J. and W. C. Chew, "Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering," Microwave and Optical Technology Letters, Vol. 10, 14-19, 1995.
doi:10.1002/mop.4650100107
12. Bebendorf, M., "Approximation of boundary element matrices," Numerische Mathematik, Vol. 86, 565-589, 2000.
doi:10.1007/PL00005410
13. Grasedyck, L. and W. Hackbusch, "Construction and arithmetics of H-matrices," Computing, Vol. 70, 295-334, 2003.
doi:10.1007/s00607-003-0019-1
14. Beyn, W.-J., "An integral method for solving nonlinear eigenvalue problems," Linear Algebra and Its Applications, Vol. 436, No. 10, 3839-3863, 2012.
doi:10.1016/j.laa.2011.03.030
15. Kress, R., "On the numerical solution of a hypersingular integral equation in scattering theory," Journal of Computational and Applied Mathematics, Vol. 61, 345-360, Jun. 1995.
doi:10.1016/0377-0427(94)00073-7
16. Cheng, R., W. Y. Crutchfield, M. Doery, and L. Greengard, "Fast, accurate integral equation methods for the analysis of photonic crystal fibers. I: Theory," Optics Express, Vol. 12, No. 16, 3791-3805, 2004.
doi:10.1364/OPEX.12.003791
17. Bebendorf, M., "Hierarchical matrices --- A means to efficiently solve elliptic boundary value problems," Lecture Notes in Computational Science and Engineering, Springer, 2008.
18. Bebendorf, M., "A hierarchical LU decomposition-based preconditioners for BEM," Computing, Vol. 74, 225-247, 2005.
doi:10.1007/s00607-004-0099-6
19. Daquin, P., R. Perrussel, and J.-R. Poirier, "Hybrid cross approximation for the electric field integral equation," Progress In Electromagnetics Research M, Vol. 75, 79-90, 2018.
doi:10.2528/PIERM18052803
20. Soudais, P., "Iterative solution of a 3-D scattering problem from arbitrary shaped multidielectric and multiconducting bodies," IEEE Transactions on Antennas and Propagation, Vol. 42, No. 7, 954-959, Jul. 1994.
doi:10.1109/8.299597