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FFT study of the realistic Optics of LIGO I

This project delves into the optics of LIGO I, examining mirror phase maps, thermal lensing, and beam splitter curvature. The study involves FFT code modifications for better results. Key topics include effects of optics aberrations and validation using e2e. Collaborators: Hiro Yamamoto, Biplab Bhawal, Xiao Xu.

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FFT study of the realistic Optics of LIGO I

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  1. FFT study of the realistic Optics of LIGO I • LIGO I mirror phase map • FFT code modification • Thermal lensing • Beam splitter curvature • Things to do • Effect of optics aberration (Biplab) July 12th, 2004 Commissioning meeting Hiro Yamamoto, Biplab Bhawal, Xiao Xu (CIT-SURF)

  2. LIGO I Mirror phase map • R.Dodda - 2003 SURF from SLU • Phase map from raw data to FFT format • Effects of actual mirror phase maps in ARM CAVITIES • X.Xu - 2004 SURF from Caltech • Completed all conversion • Tilt removed (poor man’s ASC) • 128x128 and 256x256 • Available from e2e home page • Studying effects of aberration, beam splitter curvature and ITM differential heating FFT - commissioning mtg

  3. Beam splitter phase map WA4K BS x 10-8 nm WA4K BS - curvature subtracted nm FFT - commissioning mtg

  4. FFT code modification • Thermal lensing • Input beam specification • Input TEM00 base was indirectly specified by the base on ITMx HR • Separate refractive index for each mirror (poor man’s thermal lens) • Beam splitter curvature • LIGO I signals • POX, POY, POB • Better coding and interface • Use fftw • x10 faster (another x10 possible) • … FFT - commissioning mtg

  5. Thermal lensing FFT - commissioning mtg

  6. Beam splitter curvature  ref tra cur(cold) = -0.26 ref(x)= -0.027 ref(x)= -0.019 FFT - commissioning mtg

  7. SB dark port profile, asymmetry and BS curvature ITMX hot ITMY cold ITMX cold ITMY hot SB- profile hot-cold SBP SBM Flat BS SBP SBM enhanced reduced 200k curved BS FFT - commissioning mtg

  8. Thermal lensing andBS curvature FFT - commissioning mtg

  9. What to do • Validation of results using e2e • Lock FFT using LIGO I LSC • C++ FFT • Easy customization • Time domain FFT FFT - commissioning mtg

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