A NEW INTEGRAL EXPRESSION FOR THE EFFECTIVE REFRACTIVE-INDEX OF OPTICAL WAVE-GUIDES AND ITS APPLICATION FOR A FAST NUMERICAL-SOLUTION FINDER FOR THE EFFECTIVE REFRACTIVE-INDEX
S. Ohke et al., A NEW INTEGRAL EXPRESSION FOR THE EFFECTIVE REFRACTIVE-INDEX OF OPTICAL WAVE-GUIDES AND ITS APPLICATION FOR A FAST NUMERICAL-SOLUTION FINDER FOR THE EFFECTIVE REFRACTIVE-INDEX, Optics communications, 118(3-4), 1995, pp. 227-234
The effective refractive index (or its inverse) of optical waveguides
is found to be describable by an integral expression as a square-root
of field-distribution-weighted-mean of squared refractive index distri
bution (or its inverse). This principle is utilized to find out the ef
fective refractive index without solving the eigenvalue equation and a
new fast numerical computation procedure is proposed. The proposed pr
ocedure can be applied to either linear or nonlinear waveguide, exhibi
ting a particular improvement in computational speed for the nonlinear
case.