An analogy between the mode equation and Schrodinger's equation has been used to show that the important parameter to study in waveguiding systems is the square of the effective index of a mode rather than the effective index itself. This method was used to interpret simply and analytically some results published earlier. The agreement with the interpretation published originally is shown to be very good. No computing is involved. A quasi-linear index profile has been observed.
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Jaussaud et al. (1977) studied this question.
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