Geodesic
TE-wave Propagation Modeling in Nonuniform Waveguide by Vector Finite Element Method
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 2, pp. 54-66 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper considers applying vector finite element method to modeling of TE-waves propagation in optical fiber. Spurious modes are found in the obtained numerical solution. Analysis of analytical solution shows that spurious modes have nonzero $E_r$ component of electric field and don't conform to continuity condition of $\mathbf{H}$ field at the core–cladding interface. 
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     author = {A. A. Dolgun and M. P. Fedoruk and E. P. Shurina},
     title = {TE-wave {Propagation} {Modeling} in {Nonuniform} {Waveguide} by {Vector} {Finite} {Element} {Method}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {54--66},
     year = {2008},
     volume = {8},
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     url = {http://geodesic.mathdoc.fr/item/VNGU_2008_8_2_a4/}
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A. A. Dolgun; M. P. Fedoruk; E. P. Shurina. TE-wave Propagation Modeling in Nonuniform Waveguide by Vector Finite Element Method. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 2, pp. 54-66. http://geodesic.mathdoc.fr/item/VNGU_2008_8_2_a4/

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