Show that the change in index of refraction Δn required for waveguiding of the mth order mode in an asymmetric waveguide is given by Δn = n2 − n3 > (2m + 1)2λ2 0 32n2t 2 g , m = 0, 1, 2, 3, where all...

Show that the change in index of refraction Δn required for waveguiding of

the mth order mode in an asymmetric waveguide is given by

Δn = n2 − n3 >

(2m + 1)2λ2

0

32n2t 2

g

, m = 0, 1, 2, 3,

where all terms are as defined in Section 3.1.3.