When an electromagnetic wave interacts with an optical system, all of its parameters can be changed as a result. Typically optical components are designed such that, ideally, they only affect one of the parameters, i.e., either the amplitude or the polarisation or the shape. Therefore, it is convenient to derive separate descriptions concerning each parameter. This section introduces the coupling of the complex field amplitude at optical components. Typically, the optical components are described in the simplest possible way, as illustrated by the use of abstract schematics such as those shown in Figure 2.

2.1 Mirrors and spaces: reflection, transmission and propagation

2.2 The two-mirror resonator

2.3 Coupling matrices

Coupling matrices for numerical computations

Coupling matrices for a compact system descriptions

2.4 Phase relation at a mirror or beam splitter

2.4.1 Composite optical surfaces

2.5 Lengths and tunings: numerical accuracy of distances

2.6 Revised coupling matrices for space and mirrors

2.7 Finesse examples

2.7.1 Mirror reflectivity and transmittance

2.7.2 Length and tunings

2.2 The two-mirror resonator

2.3 Coupling matrices

Coupling matrices for numerical computations

Coupling matrices for a compact system descriptions

2.4 Phase relation at a mirror or beam splitter

2.4.1 Composite optical surfaces

2.5 Lengths and tunings: numerical accuracy of distances

2.6 Revised coupling matrices for space and mirrors

2.7 Finesse examples

2.7.1 Mirror reflectivity and transmittance

2.7.2 Length and tunings

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