
Abstract 
1 
Introduction 

1.1 
The scope and style of the review 

1.2 
Overview of the goals of
interferometer design 

1.3 
Overview of the physics of the primary interferometer
components 

1.4 
Planewave analysis 

1.5 
Frequency domain analysis 
2 
Optical
Components: Coupling of Field Amplitudes 

2.1 
Mirrors and spaces: reflection,
transmission and propagation 

2.2 
The twomirror resonator 

2.3 
Coupling
matrices 

2.4 
Phase relation at a mirror or beam splitter 

2.5 
Lengths and
tunings: numerical accuracy of distances 

2.6 
Revised coupling matrices for
space and mirrors 

2.7 
Finesse examples 
3 
Light with Multiple Frequency
Components 

3.1 
Modulation of light fields 

3.2 
Phase modulation 

3.3 
Frequency
modulation 

3.4 
Amplitude modulation 

3.5 
Sidebands as phasors in a
rotating frame 

3.6 
Phase modulation through a moving mirror 

3.7 
Coupling
matrices for beams with multiple frequency components 

3.8 
Finesse
examples 
4 
Optical Readout 

4.1 
Detection of optical beats 

4.2 
Signal
demodulation 

4.3 
Finesse examples 
5 
Basic Interferometers 

5.1 
The twomirror
cavity: a Fabry–Pérot interferometer 

5.2 
Michelson interferometer 

5.3 
Finesse
examples 
6 
Interferometric Length Sensing and Control 

6.1 
Error signals and
transfer functions 

6.2 
Fabry–Pérot length sensing 

6.3 
The Pound–Drever–Hall
length sensing scheme 

6.4 
Michelson length sensing 

6.5 
The Schnupp modulation
scheme 

6.6 
Finesse examples 
7 
Beam Shapes: Beyond the Plane Wave
Approximation 

7.1 
The paraxial wave equation 

7.2 
Transverse electromagnetic
modes 

7.3 
Properties of Gaussian beams 

7.4 
Astigmatic beams: the tangential
and sagittal plane 

7.5 
Higherorder Hermite–Gauss modes 

7.6 
The Gaussian
beam parameter 

7.7 
Properties of higherorder Hermite–Gauss modes 

7.8 
Gouy
phase 

7.9 
Laguerre–Gauss modes 

7.10 
Tracing a Gaussian beam through an
optical system 

7.11 
ABCD matrices 
8 
Interferometer Matrix with Hermite–Gauss
Modes 

8.1 
Coupling of Hermite–Gauss modes 

8.2 
Coupling coefficients for
Hermite–Gauss modes 

8.3 
Finesse examples 
9 
Acknowledgements 
A 
The
Interferometer Simulation Finesse 

References 

Footnotes 

Figures 