Simulation of Optical Soliton Control in Micro- and Nanoring Resonator Systems by Suzairi Daud Sevia Mahdaliza Idrus & Jalil Ali

Author:Suzairi Daud, Sevia Mahdaliza Idrus & Jalil Ali
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(4.2)

The transmission for one complete roundtrip is represented as:

(4.3)

Then, the Z-transform parameter is given as (Absil 2000):

(4.4)

where is the propagation constant, is the wavelength, and is the effective refractive index of the waveguide.

The roundtrip loss inside ring is given as:

(4.5)

where is referred to intensity attenuation coefficient, including the propagation loss.

The losses are resulted from the transitions in the curvature of the ring and bending losses. The value of depends on the properties of the material and waveguide used.

It is assumed that the coupling is lossless . There are no power or intensity losses in the coupling region. It is also assumed that there is no phase change for the field that passes through the coupling region . There is no significance value of the coupling distance because the coupling takes place on a point between the tangential circular arc of the ring and input waveguide.

The transmitted and throughput output field at the output waveguide are given as:

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