TM-modes in a planar optical waveguide with a graded index of the symmetric Epstein type

DOI10.1016/0165-2125(86)90023-5zbMath0579.73115OpenAlexW2009081428MaRDI QIDQ1067497

F. W. Sluijter, J. Boersma, C. A. van Duin

Publication date: 1986

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(86)90023-5

zbMATH Keywords

Heun functionseigenvalue problemanalytical and numerical methodssingular Sturm-Liouville problemUpper and lower boundsdifference between corresponding eigenvalues of the TE- anddifference between corresponding eigenvalues of the TE- and TM-modesminimal solution of a three-term recurrence relationplanar optical waveguidesymmetric Epstein- type variation of the dielectric permittivityTM-modal fieldsTM-modes

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Antennas, waveguides in optics and electromagnetic theory (78A50) Ordinary differential operators (34L99)

Related Items (1)

Obituary: Johannes Boersma (1937--2004), a remarkable mathematician

Cites Work

• Reflection properties of internal gravity waves incident upon a hyperbolic tangent shear layer
• Computational Aspects of Three-Term Recurrence Relations
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