PART 3: The following are the program inputs used to calculate the encircled energy assuming prestimates of the P1H1 performance and assuming that the remaining mirror elements meet the specification. Note that aspect errors are NOT included. Inputs following ! are comments. !!!! We do not have final metrology for P1 and H1 !!!! P1H1 Fit; 7A all surfaces + 10A mid ! Title (copied to individual outputs) 65536 0.03125 ! Array size and increment mirror_set 1 1 cexp 9.899495 0.018 ! 7A / surface high freq roughness cexp 35.3555339 18.0 ! 25 A / surface = original mid freq (used in fit) cirslope 1.9838!2 surfaces, 3.4 microradians rms (to be multiplied by alpha) ! low freq terms (rms diameters) ! 0.316 ! 2 times 0.158; Axial slope (used in fit) ! 0.0962 ! sag, compensated to 0.03 microns knowledge per optic ! 0.0464 ! roundness, 0.76 microns each optic ! 0.101 ! Delta Delta R 4.879 microns rms in focal plane ! 0.0577 ! Delta R 3.4 microns rms each optic ! 0.23 ! Alignment ! 0.30 ! Environment and material stability ! 0.20 ! Margin ! 0.5547 ! Sub total of above ! 0.50 ! aspect ! 0.7467 ! Total of above gaussian 0.2774 ! 1/2 * 0.5547 = radius = low freq errors end_set mirror_set 2 4 cexp 9.899495 0.018 ! 7A / surface high freq roughness cexp 35.3555339 18.0 ! 25 A / surface = original mid freq (used in fit) cgauss 14.142136 0.35 ! 10A / surface added upper mid freq cirslope 1.9838!2 surfaces, 3.4 microradians rms (to be multiplied by alpha) ! low freq terms (rms diameters) ! 0.316 ! 2 times 0.158; Axial slope (used in fit) ! 0.0962 ! sag, compensated to 0.03 microns knowledge per optic ! 0.0464 ! roundness, 0.76 microns each optic ! 0.101 ! Delta Delta R 4.879 microns rms in focal plane ! 0.0577 ! Delta R 3.4 microns rms each optic ! 0.23 ! Alignment ! 0.30 ! Environment and material stability ! 0.20 ! Margin ! 0.5547 ! Sub total of above ! 0.50 ! aspect ! 0.7467 ! Total of above gaussian 0.2774 ! 1/2 * 0.5547 = radius = low freq errors end_set The followng are the encircled energy calculations for the above inputs. The first two columns give the radius (arc seconds) and surface brightness; the last two columns give a radius and encircled energy fraction. The terms "normalization" and "High freq corr. factor" should be unity; deviations are a measure of numerical accuracy. Small negative values of the surface brightness and encircled energy fractions exceeding unity also are measures of numerical accuracy. Values are given for specification energies for each pair and for the nest. Note that pairs are numbered 1--4 rather than 1--6: Label Conventional Name: Mirror number: 1 P1H1 Mirror number: 2 P3H3 Mirror number: 3 P4H4 Mirror number: 4 P6H6 P1H1 Fit; 7A all surfaces + 10A mid Mirror number: 1 grazing angle: 51.865 arc minutes energy normalization High freq corr. factor 0.107 1.0071 0.9999 theta psi1 thetaint sum 0.0000 1.4356E+00 0.0000 0.044863 0.0312 1.4266E+00 0.0469 0.134028 0.0625 1.4001E+00 0.0781 0.221532 0.0938 1.3569E+00 0.1094 0.306336 0.1250 1.2986E+00 0.1406 0.387498 0.1562 1.2274E+00 0.1719 0.464208 0.1875 1.1456E+00 0.2031 0.535807 0.2188 1.0559E+00 0.2344 0.601802 0.2500 9.6117E-01 0.2656 0.661876 0.2812 8.6402E-01 0.2969 0.715877 0.3125 7.6703E-01 0.3281 0.763816 0.3438 6.7244E-01 0.3594 0.805844 0.3750 5.8220E-01 0.3906 0.842231 0.4062 4.9779E-01 0.4219 0.873343 0.4375 4.2035E-01 0.4531 0.899614 0.4688 3.5053E-01 0.4844 0.921522 0.5000 2.8871E-01 0.5156 0.939567 0.5312 2.3484E-01 0.5469 0.954244 0.5625 1.8868E-01 0.5781 0.966036 0.5938 1.4971E-01 0.6094 0.975393 0.6250 1.1736E-01 0.6406 0.982729 0.6562 9.0873E-02 0.6719 0.988408 0.6875 6.9535E-02 0.7031 0.992754 0.7188 5.2566E-02 0.7344 0.996040 0.7500 3.9295E-02 0.7656 0.998495 0.7812 2.9034E-02 0.7969 1.000310 0.8125 2.1241E-02 0.8281 1.001638 0.8438 1.5376E-02 0.8594 1.002599 0.8750 1.1049E-02 0.8906 1.003289 0.9062 7.8740E-03 0.9219 1.003781 0.9375 5.6016E-03 0.9531 1.004131 0.9688 3.9698E-03 0.9844 1.004380 1.0000 2.8397E-03 1.0156 1.004557