# Data Reduction of Hartmann Test Ou Yang, Hsien Supervisor : Shiang-yu Wang.

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Data Reduction of Hartmann Test Ou Yang, Hsien Supervisor : Shiang-yu Wang

Data Reduction of Hartmann Test Introduction to Hartmann method Hartmann Pattern Data reduction Results & Discussion

Hartmann method Image quality examination method by detecting wavefront deviation w at certain points. The image aberration can be reconstruct by the data reduction.

Hartmann pattern diameter of the hole : 1cm distance between two holes : 4 cm # of holes : 140 The mask was installed in front of the secondary mirror of the TAOS#1 telescope

The Hartmann test image Inside focusOutside focusTilted image

Transverse aberrations for each of the data points on the telescope mirror

Aberration Polynomial for Primary Aberration where –A = spherical aberration coefficient –B = coma coefficient –C = astigmatism coefficient –D = defocusing coefficient –E = tile about x axis –F = tile about y axis

The coefficient of aberration polynomial CoefficientOutside focus Inside focusTilted image A3.585E-143.183E-12-8.457E-13 B4.844E-12-4.493E-11-9.942E-9 C-1.883E-81.025E-65.783E-7 D-7.566E-7-1.342E-11-1.589E-6 E-5.701E-5-3.293E-42.045E-2 F3.464E-4-2.38E-43.148E-4

The graph of W(x,y) [Outside focus] peak to valley error 11µm

The graph of W(x,y) [Inside focus] peak to valley error 6.8µm

The graph of W(x,y) [ Tilted image] peak to valley error 63µm

The graph of W(x,y) [spherical aberration coefficient] peak to valley error 21µm

The graph of W(x,y)[coma coefficient] peak to valley error 1.2µm

The graph of W(x,y)[astigmatism coefficient] peak to valley error 1.3µm

The graph of W(x,y) [defocusing coefficient] peak to valley error 17µm

The graph of W(x,y) [tilt about x axis] peak to valley error 5.6µm

The graph of W(x,y) [tilt about y axis] peak to valley error 3.4µm

summary The aberration of the optical system can be obtained by the hartmann test. The hartmann test can help the alignment sequence of optical systems. More detailed aberration terms can be obtained by the same procedure.

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