FWM Implementation and Analysis Using MATLAB - Optical Signal Processing by Silicon Photonics - page 112

Chapter 9
FWM Implementation and Analysis
Using MATLAB

Abstract The third-order nonlinear process of four-wave mixing (FWM) in
silicon-on-insulator (SOI) waveguides has been investigated intensively due to
the large third-order susceptibility of silicon. The exploration of nonlinear opti-
cal processes in SOI waveguides has achieved a level from where the researchers
can move ahead of the proof-of-concept stage and enter the practical application
empire. Signal amplification, wavelength conversion, and signal regeneration are
exceptionally available applications in the SOI-platform for present and future
integrated photonic circuits. These applications are only possible due to the large
pump powers and small modal areas of the SOI waveguides which are equally
essential for large nonlinear optical responses. Further investigations can produce
silicon photonic devices for optical signal processing functions, i.e., modulation,
logic operations, optical signal regeneration, spectral phase conjugation, signal-
waveform compression, and a number of other areas. In this chapter, the utility of
FWM in SOI waveguides for all-optical wavelength conversion is investigated by
exploiting the Simulink MATLAB tool. Realization of signal amplification with
wavelength conversion is demonstrated and then optimized by analyzing influence
of various parameters of pump, signal, and waveguide. For the majority of applica-
tions of FWM in SOI waveguides, the most required phenomenon of phase match-
ing has been taken into consideration during each simulation step.

Keywords Phase matching • All-optical signal processing • Wavelength con-
version • Phase matching • Silicon photonic devices • Repetition rate

Abbreviations

FWM Four wave mixing
SOI Silicon-on-insulator

CE Conversion efficiency

TPA Two photon absorption