SPFBU29

UE Guided optics

Unité d'enseignement (UE) de 3 crédits

^En UE enseignée en Anglais

Contenu

The students from different backgrounds elaborate their knowledge in guided optics. They get also a know-how in the theoretical study of waveguides that can be used for more general optical devices. They become familiar with the concept of modes and are able to manipulate them.

1 Main introduction

2 Maxwell’s equations
2.1 Maxwell’s equations
2.2 Continuity relations
2.2.1 General case
2.2.2 Perfect conductor case
2.3 Constitutive equations
2.3.1 General cases
2.3.2 Frequency domain
2.3.3 Our pratical case: a very
2.4 Plane waves
2.5 Poynting vector

3 Slab waveguide
3.1 Introduction
3.2 Geometry and indices
3.3 TE/TM splitting
3.4 Propagation equations
3.4.1 Transverse E waves (TE)
3.4.2 Transverse M waves (TM)
3.5 Dispersion equation
3.5.1 Conditions to obtain a guided wave
3.5.2 Form of the electric field profile in the guiding layer
3.5.3 Obtaining of the dispersion equationv for the TE case
3.5.4 field profile in the TE case
3.5.5 Comments on the dispersion equation
3.5.6 Discussion of the dispersion equation
3.6 General properties of modes
3.6.1 Mode orthogonality
3.7 The symmetric case
3.7.1 Symmetry properties (parity)
3.7.2 Even TE modes in the symmetric slab waveguide
3.7.3 Odd TE modes in the symmetric slab waveguide
3.7.4 Mode numbering
3.7.5 Dispersion curves
3.7.6 Quantization of mode localization in waveguide: confinement factor

4 Propagation of a signal
4.1 Introduction
4.2 Wave-packet and co
4.3 Signal enlargement
4.3.1 Extent of a signal
4.3.2 Distortion of a signal during the propagation

5 Optical fiber
5.1 Definition
5.2 Technological aspects
5.2.1 Attenuation in optical fibres
5.2.2 Transmission windows
5.2.3 Materials for optical fibres
5.3 Initial equations
5.4 Form of the solutions
5.4.1 Forms of the propagating modes
5.4.2 Transverse components of the fields
5.4.3 Azimuthal dependency
5.5 The circular step-index fiber
5.5.1 Recap equations for the radial dependency
5.6 Solutions in the core fibre
5.7 Solutions in the cladding
5.7.1 Orthoradial components
5.7.2 Consequences of the continuity relations
5.8 Guided modes of the circular SIF
5.8.1 Transverse modes
5.8.2 Hybrid modes HE ν,μ and EH ν,μ
5.9 Cut-Off frequencies
5.9.1 Cut-Off frequencies of TE 0,ν and TM 0,ν transverse modes
5.9.2 Cut-Off frequencies of EH ν,μ and HE ν,μ hybrid modes
5.10 Scalar modes
5.10.1 Introduction
5.10.2 Scalar wave equation
5.10.3 Forms of the solutions
5.10.4 Dispersion equations
5.10.5 Mode profiles
5.10.6 Power fraction in the core

UE Guided optics

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