Photonics Modelling and Design

Slawomir Sujecki is associate professor at the University of Nottingham, UK. He holds a Ph.D and D.Sc from the Warsaw University of Technology, Poland. Previously he was lecturer and research assistant at the University of Nottingham; researcher at the National Institute of Telecommunications, Warsaw, Poland; and lecturer at the Kielce University of Technology, Poland. An IEEE senior member, OSA life member, and NUSOD Conference Program Committee member, Dr. Sujecki has participated in research projects funded by the European Community, including Ultrabright, Bright.EU, Brighter.EU, FastAccess, Copernicus, and MINERVA, and has received fellowships from Deutscher Akademischer Austauschdienst, British Council, Royal Society, and Wolfson Foundation.

Preface


Biography


Introduction


Optical Model


Active Medium Model


Heat Diffusion and Stress–Strain Models


Photonic Device Models


References


Light Propagation in Homogenous Media


Fourier Method


Optical Beam Reflection and Refraction


Paraxial and Wide Angle Approximations


Transmission through Thin Optical Elements


References


Optical Waveguides


Introduction to Optical Waveguide Theory


Planar Optical Waveguides


Waveguiding in Planar Optical Waveguides


Index Guiding Planar Optical Waveguides


Low Loss Leaky and Gain Guided Planar Optical Waveguides


Examples of Planar Optical Waveguides


Slab Optical Waveguide


Effective Index Method


Propagation Constant Calculation Techniques for Planar Optical Waveguides


Comparison of Polarised, Scalar, and Effective Index Approximations


Optical Fibres


Waveguiding in Optical Fibres


Examples of Optical Fibres


Step Index Circular Optical Fibre


A "Poor Man’s Approach" to Modelling MOFs


Propagation Constant Calculation Techniques for MOFs


References


Beam Propagation Method


Introduction


BPM Algorithms


Split Operator BPM


Eigenmode Expansion BPM


Matrix Expansion BPM


Bidirectional BPM


Handling Abrupt Discontinuities


Handling Multiply Reflected Waves


Numerical Implementation of BPM


Boundary Condition


Dispersion Characteristics


Staircasing Approximation


Selected Examples of BPM Application


Optical Taper


Oblique and Bent Waveguides


Y Junction


Time Domain Analysis


Time Domain BPM


Travelling Wave Approach


References


Thermal Modelling of Photonic Devices


Heat Flow


Heat Flow in Photonic Devices


Finite Difference Analysis of Heat Flow in Homogenous Media


Finite Difference Analysis of Heat Flow in Inhomogeneous Media


Heat Sources, Boundary Conditions, and Thermal Boundary Resistance


References


Flow of Current in Semiconductor Photonic Devices


Introduction


Potential Distribution in Unbiased p–n Junction


Potential and Quasi-Fermi Level Distribution in Biased


p–n Junction


Modelling of Current Flow in Photonic Semiconductor Devices


References


Fibre Amplifiers and Lasers


Photons and Atoms


Silica Glass–Doped with Erbium Ions


Fibre Amplifier Modelling


Copropagating and Counterpropagating Pump Fibre Amplifier Models


Amplified Spontaneous Emission


Fibre Laser Modelling


Time Domain Models


Extraction of Modelling Parameters


Lanthanide Ion Interaction Effects


References


Laser Diode Modelling


Introduction


0D LD Models


0D CW Model


0D Time Domain Model


0D Spectral Model


1D Laser Diode Models


Multidimensional LD Models


References


Pulse Propagation in Optical Fibres


Introduction


Propagation of Optical Pulses in Fibers


Split-Step Fourier Method


References