Acta Optica Sinica, Volume. 23, Issue 7, 809(2003)
Rigorous Solution of Eigenvalue Equations for Guided Modes in Inhomogeneous Optical Waveguides by Cole-Hopf Transformation
Using Cole Hopf transformation, eigenvalue equations for guided modes in inhomogentous optical waveguides are transformed to Riccati equation, and rigorous analytic solutions for propagation constants and modal field distributions are deduced in a simple and convenient way. Formulas for square law index profile, symmetric Epstein profile, Epstein layer model of planar guides and for parabolic profile circular optical fibers are deduced.
Get Citation
Copy Citation Text
[in Chinese]. Rigorous Solution of Eigenvalue Equations for Guided Modes in Inhomogeneous Optical Waveguides by Cole-Hopf Transformation[J]. Acta Optica Sinica, 2003, 23(7): 809