Explicit general eigenvalue solutions for dielectric slab waveguides.
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.
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Lotspeich