We have a Mathematica notebook to plot Zernike polynomials, E-fields, and to determine parameters for removing FFT artifacts (apodization).The latter has an MPI version written by F. Optimization of SA is apparently not yet in DR FFT although it is undertaken in the single (power) recycling version of FFT.Otherwise GW sideband calculations seem fine. GW sideband power calculations currently assume a h=1 to get realistic (non-huge) powers must assume h~ 10-21 or smaller since P~ h2.Including SA increases computation time by a factor of 4 and number of iterations in relaxation scheme by a factor of more than 10. V-Class has 128 nodes, 16 or 32 can be reasonably requested. It takes about 5 minutes of run-time for a 4 node run on CACR V-class with imperfect optics for no SA. Bochner checked LIGO-I Zernike results with a perturbation theory (analytical 2nd order) calculation of Saha and Weiss (1995). With these deformations we obtain ~ 10-3 W of non TEM00 (higher mode) light in SRC for no SA and 8 x 10-2 W for planned 40m SA.Coincidentally, Bochner obtained a CD of 1.36 x 10-4 for similar deformations of amplitude 514nm/300 and LIGO-I. Obtain an FP contrast defect (CD) of 1.7 x 10-4.Z(5,1) deformations one ITM for 40m with and without SA for amplitude 1064nm/300 deformations.Imperfect Optics Using Zernike Polynomials We also get results for LIGO II that are consistent with previous work of Bochner (will check carefully).For Currently planned SA similar results except ~.Results that are consistent with Analytical Calculations for 40m configuration for 1 Watt carrier excitation power ~ 5400 W in both FP arms, 14 W in power recycling cavity (PRC) and at symmetric port, 0 W in Signal Recycling Cavity (SRC) for no Schnupp Asymmetry (SA).MPI Version of Dual Recycling FFT Now Running on CACR HP-V Class Cluster With and Without Zernike Polynomial (Z(n,l)) Deformations This figure also contains the beam amplitude radius and the radius of curvature for all optical elements The distances between various optical elements are given. A schematic of the upgraded Caltech 40m IFO. (compiled by Lisa Goggin, Caltech Sumer 2000 SURF student).
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