
Using Eqn (12.17), we then have d
1
= d
2
= j
ffiffi
1
q
. Hence, the power transmission
spectrum becomes
T =
! !
0
ðÞ
2
! !
0
ðÞ
2
þ 1=ðÞ
2
(12.21)
At resonance, the destructive interference between the direct transmission and the
resonant pathway produces complete ref lection (Figure 12.2(e)). The structure
therefore functions as a band-rejection filter.
(c) Fano interference confi guration (Figure 12.2(c)). By introducing additional
scatterer inside the waveguide, one can alter the direct pathway such that neither r
nor t is close to zero. In such a case, the transmission spectrum exhibits a sharp
asymmetric Fano lineshape [42], in which the transmission coefficient ...