Before quoting Mr. Mulherin I think you should
know the stastic he shrouds in mystery: RMS stands for Root Mean Square
It is a statistic used very much in electronics, and is calculated by taking
the square of each data point and adding it to the square of the previous data
point in a running total until all the squares of all the data points have been
added up into a single sum. Divide this sum by the total number of data points,
to get the Mean Square, and take the square root of that to get the Root Mean
Square. Interferometric data points are simply obtained by creating an interferance
pattern between the mirror under test and a "very accurate reference mirror".
Now for Mr. Mulherin's definition of RMS Wavefront Error:
"To obtain RMS Wavefront Error, a large number of interferometric data
points are measured over the entire area of the test wavefront. The RMS error is
a statistic that is calculated from all the data and gives a better indication
of the system performance. Due to its statistical nature, professional optical
shops consider the RMS Wavefront Error to be the most useful measure of optical
quality. By common convention an optic with an RMS Wavefront Error of 0.0712 or
less is considered diffraction limited."
Mr. Mulherin then goes on to define Strehl
Ratios, and to compare their results. I shall quote him on that on
the next page before making any further comments of my own.