From the coherence function stems the coherence matrix.
2.
Our expression for the mutual coherence function becomes
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In which case the mutual coherence function reduces to the Fourier transform of the brightness distribution of the source.
4.
Let us calculate the mutual coherence function between P _ 1 and P _ 2 in the plane of observation.
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The coherence function provides a quantification of deviations from linearity in the system which lies between the input and output measurement sensors.
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The primary advantage of Hopkins's formula is that one may calculate the mutual coherence function of a source indirectly by measuring its brightness distribution.
7.
Clearly, the coherence matrix is symmetric about the main diagonal if we are restricting ourselves to looking at the coherence function at a single frequency.
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Coherence functions, as introduced by Glauber and others in 1960s, capture the mathematics behind the intuition by defining correlation between the electric field components as coherence.
9.
To cover all relationships between all points, the coherence function must be an n ^ 2-by-n ^ 2-by-\ omega matrix.
10.
If a linear system is being measured, x ( t ) being the input and y ( t ) the output, the coherence function will be unitary all over the spectrum.
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