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 E E-13 B4.844E E E-9 C-1.883E E E-7 D-7.566E E E-6 E-5.701E E E-2 F3.464E E E-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.