%0 Journal Article %1 Lotspeich:75 %A Lotspeich, James F. %D 1975 %I OSA %J Appl. Opt. %K waveguide %N 2 %P 327--335 %R 10.1364/AO.14.000327 %T Explicit General Eigenvalue Solutions for Dielectric Slab Waveguides %U http://ao.osa.org/abstract.cfm?URI=ao-14-2-327 %V 14 %X A formula is developed for dielectric slab waveguides that yields general solutions of the TE eigenmode propagation constants as explicit functions of a composite independent variable involving the guide layer thickness, operating wavelength, and refractive indexes of guide and cladding media. This provides a convenient means for circumventing the transcendental eigenvalue equations. The maximum error is less than 0.6\%. A method for deriving the corresponding TM eigenvalues with an accuracy of about 99\% or better is shown.

@article{Lotspeich:75, abstract = {A formula is developed for dielectric slab waveguides that yields general solutions of the TE eigenmode propagation constants as explicit functions of a composite independent variable involving the guide layer thickness, operating wavelength, and refractive indexes of guide and cladding media. This provides a convenient means for circumventing the transcendental eigenvalue equations. The maximum error is less than 0.6\%. A method for deriving the corresponding TM eigenvalues with an accuracy of about 99\% or better is shown.}, added-at = {2011-04-13T16:36:06.000+0200}, author = {Lotspeich, James F.}, biburl = {https://www.bibsonomy.org/bibtex/2c7899f356278ad0ea084126622acd2cb/rgomezal}, doi = {10.1364/AO.14.000327}, interhash = {1872585aa2ad593cce8b950e199d1ea9}, intrahash = {c7899f356278ad0ea084126622acd2cb}, journal = {Appl. Opt.}, keywords = {waveguide}, month = feb, number = 2, pages = {327--335}, publisher = {OSA}, timestamp = {2011-04-13T16:36:06.000+0200}, title = {Explicit General Eigenvalue Solutions for Dielectric Slab Waveguides}, url = {http://ao.osa.org/abstract.cfm?URI=ao-14-2-327}, volume = 14, year = 1975 }