ABSTRACT
Thus, the output circulated light field, ER2, for the right nanoring is given by
(1 )(1 ) (1 )
1 (1 )(1 )
e E E
e
g k g
g k
Ï ¸ - - - -Ô Ô= Ì ˝
Ô Ô-- -Ó ˛
(2.14)
Similarly, the output circulated light field, ER1, for the left nanoring at the left side of the add/drop optical multiplexing system is given by
(1 )(1 ) (1 )
1 (1 )(1 )
e E E
e
g k g
g k
Ï ¸ - - - -Ô Ô= Ì ˝
Ô Ô-- -Ó ˛
(2.15)
where k4 is the intensity coupling coefficient, g4 is the fractional coupler intensity loss, a is the attenuation coefficient, kn = 2 p/l is the wave propagation number, l is the input wavelength light field and L1 = 2p R1, R1 is the radius of left nanoring. From Eqs (2.3)–(2.15), the circulated light fields, E1, E3 and E4 are defined by given x1 = (1 – g1)1/2, x2 = (1 – g2)1/2, y1 = (1 – k1)1/2, and y2 = (1 – k2)1/2.