Four Wave Mixing in Silicon Photonics - Optical Signal Processing by Silicon Photonics - page 97

Chapter 8
Four Wave Mixing in Silicon Photonics

Abstract In this chapter, Four Wave Mixing (FWM) and its types are elabo-
rated in detail. It also describes the mathematical equations which provide basis
for mathematical modeling and subsequent realization on various platforms. In
order to achieve optical frequency shifting by FWM in silicon-on-insulator (SOI)
waveguide, a nonlinear phenomenon has been presented. The FWM process in
SOI waveguides is also discussed with an emphasis on the effects of two-photon
absorption and the consequent free-carrier effects.

Keywords Four wave mixing • Phase matching for four wave mixing

Abbreviations

FWM Four wave mixing

WDM Wavelength division multiplexing

CW Continuous wave

SPM Self phase modulation

XPM Cross phase modulation

List of Symbols

c Speed of light

Tb / s Terabits per second

Gb / s Giga bits per second

n Refractive Index

P Polarization

E Electric field

ε 0 Vacuum permittivity