Los Alamos National Laboratory Poisson Superfish Program Automesh written by James H. Billen and Lloyd M. Young The original Poisson Superfish codes were developed by Ron F. Holsinger in collaboration with Klaus Halbach. These programs are provided as a service to the accelerator community by the Los Alamos Accelerator Code Group (LAACG). (c) Copyright 1985-2005, by the Regents of the University of California. This software was produced under U. S. Government contract W-7405-ENG-36 by Los Alamos National Laboratory, which is operated by the University of California for the U. S. Department of Energy. Neither the Government nor the University makes any warranty, express or implied, or assumes any liability or responsibility for its use, or represents that use of this software would not infringe privately owned rights. Unpublished - rights reserved under Copyright Laws of the United States. Program Automesh 7.17 released 1-13-2006 Program file: C:\LANL\AUTOFISH.EXE Problem file: C:\LANL\Examples\RadioFrequency\PillboxCavities\MODPILL.AF 11-12-2007 14:31:26 SF.INI file: C:\LANL\SF.INI 11-12-2007 14:55:22 Problem description: 0.205-GHz TM010 Modified Pillbox Cavity Pillbox cavity with a 7-cm-radius bore tube [Originally appeared in 1987 User's Guide 1.4] Coordinates and lengths have dimensions of centimeters. Region data: IREG = 1 MAT = 1 CUR = 0.0 DEN = 0.0 ITRI = 0 [equal weight triangles] IBOUND = 1 [Neumann boundary] IPDIAG = 0 [no extra Automesh diagnostics] DX = 0.2 XMIN = 0.0 XMAX = 28.32 DY = 0.1732051 [=DX*sin(60)] YMIN = 0.0 YMAX = 56.02 DX1 = 0.1994366 KMAX = 143 DY1 = 0.1734365 LMAX = 324 ITOT = 47270 Memory used for the solution file: 1.702 M Memory used for Automesh setup data: 544.468 K Region 1 boundary points from the PO namelist: Point NT X0 Y0 X Y R THETA A B 1 1 0.000 0.000 2 1 0.000 56.02 3 1 17.50 56.02 4 1 17.50 7.000 5 1 28.32 7.000 6 1 28.32 0.000 7 1 0.000 0.000 Number of user-supplied fixed points = 7 Fixed points added at line regions = 0 Fixed points added on overlapping regions = 0 Total number of fixed points = 7 Logical path finding for region 1 (includes extra boundary points at intersections of line regions plus points from other user-supplied segments) Point NT X Y R A B Fwd Bkw 2 1 0.000 56.02 324 324 3 1 17.50 56.02 89 89 4 1 17.50 7.000 284 284 5 1 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0.00000000 52 1 10.1712676 0.00000000 51 1 9.97183099 0.00000000 50 1 9.77239437 0.00000000 49 1 9.57295775 0.00000000 48 1 9.37352113 0.00000000 47 1 9.17408451 0.00000000 46 1 8.97464789 0.00000000 45 1 8.77521127 0.00000000 44 1 8.57577465 0.00000000 43 1 8.37633803 0.00000000 42 1 8.17690141 0.00000000 41 1 7.97746479 0.00000000 40 1 7.77802817 0.00000000 39 1 7.57859155 0.00000000 38 1 7.37915493 0.00000000 37 1 7.17971831 0.00000000 36 1 6.98028169 0.00000000 35 1 6.78084507 0.00000000 34 1 6.58140845 0.00000000 33 1 6.38197183 0.00000000 32 1 6.18253521 0.00000000 31 1 5.98309859 0.00000000 30 1 5.78366197 0.00000000 29 1 5.58422535 0.00000000 28 1 5.38478873 0.00000000 27 1 5.18535211 0.00000000 26 1 4.98591549 0.00000000 25 1 4.78647887 0.00000000 24 1 4.58704225 0.00000000 23 1 4.38760563 0.00000000 22 1 4.18816901 0.00000000 21 1 3.98873239 0.00000000 20 1 3.78929577 0.00000000 19 1 3.58985915 0.00000000 18 1 3.39042254 0.00000000 17 1 3.19098592 0.00000000 16 1 2.99154930 0.00000000 15 1 2.79211268 0.00000000 14 1 2.59267606 0.00000000 13 1 2.39323944 0.00000000 12 1 2.19380282 0.00000000 11 1 1.99436620 0.00000000 10 1 1.79492958 0.00000000 9 1 1.59549296 0.00000000 8 1 1.39605634 0.00000000 7 1 1.19661972 0.00000000 6 1 0.997183099 0.00000000 5 1 0.797746479 0.00000000 4 1 0.598309859 0.00000000 3 1 0.398873239 0.00000000 2 1 0.199436620 0.00000000 1 1 0.00000000 0.00000000 Region 1 done, 7 fixed points, 931 total boundary points. Logical boundary segment end points for region 1: Segment Starting Point Ending Point K L K L 1 1 1 1 324 2 1 324 89 324 3 89 324 89 41 4 89 41 143 41 5 143 41 143 1 6 143 1 1 1 Drive point at X =00.0, K = 1, Y = 56.02, L = 324. Region 2 mesh points K L X Y 1 324 0.00000000 56.0200000 Processing boundary data... Memory used for additional setup arrays: 1.202 M Region 1 Material = 1 Region boundary indicator = 1 Equal-weight triangles Region 1 is closed. Region 2 Material = 1 Region boundary indicator = -1 Driving field = 1 Equal-weight triangles Region 2 contains a single point. Logical boundary segment end points for all regions: Segment Starting Point Ending Point Index K L Index K L 1 1 1 1 324 1 324 2 324 1 324 412 89 324 3 412 89 324 695 89 41 4 695 89 41 749 143 41 5 749 143 41 789 143 1 6 789 143 1 931 1 1 Relaxation parameters, 30120 unknown points. Optimizing mesh by successive over relaxation... -------X coordinate-------- -------Y coordinate-------- Cycle Residual ETA RHO Residual ETA RHO 1 7.350E-03 1.0000 1.6000 3.145E-05 1.0000 1.6000 2 9.470E-03 0.6813 1.6000 3.935E-05 0.6723 1.6000 3 6.472E-03 0.6834 1.6000 2.732E-05 0.6944 1.6000 4 4.415E-03 0.6821 1.6000 1.944E-05 0.7115 1.6000 5 3.019E-03 0.6838 1.6000 1.417E-05 0.7290 1.6000 6 2.060E-03 0.6823 1.6000 1.061E-05 0.7485 1.6000 7 1.410E-03 0.6847 1.6000 8.186E-06 0.7717 1.6000 8 9.630E-04 0.6828 1.6000 6.530E-06 0.7977 1.6000 9 6.618E-04 0.6873 1.6000 5.391E-06 0.8255 1.6000 10 4.535E-04 0.6852 1.6000 4.593E-06 0.8521 1.6000 11 3.149E-04 0.6944 1.6000 4.024E-06 0.8761 1.6000 12 2.187E-04 0.6946 1.6000 3.604E-06 0.8955 1.6000 13 1.565E-04 0.7155 1.6000 3.283E-06 0.9111 1.6000 14 1.135E-04 0.7255 1.6000 3.030E-06 0.9228 1.6000 15 8.732E-05 0.7692 1.6000 2.823E-06 0.9318 1.6000 16 6.955E-05 0.7965 1.6000 2.650E-06 0.9386 1.6000 17 5.950E-05 0.8554 1.6000 2.502E-06 0.9441 1.6000 18 5.252E-05 0.8828 1.6000 2.373E-06 0.9484 1.6000 19 4.853E-05 0.9240 1.6000 2.259E-06 0.9520 1.6000 20 4.540E-05 0.9355 1.6000 2.157E-06 0.9549 1.6000 21 4.332E-05 0.9543 1.6000 2.065E-06 0.9575 1.6000 22 4.147E-05 0.9573 1.6000 1.982E-06 0.9596 1.6000 23 4.003E-05 0.9652 1.6000 1.906E-06 0.9616 1.6000 24 3.867E-05 0.9661 1.6000 1.836E-06 0.9633 1.6000 25 3.751E-05 0.9699 1.6000 1.771E-06 0.9648 1.6000 26 9.337E-05 2.4894 1.8425 3.996E-06 2.2564 1.8311 27 8.907E-05 0.9540 1.8425 3.774E-06 0.9444 1.8311 28 8.487E-05 0.9528 1.8425 3.573E-06 0.9468 1.8311 29 8.101E-05 0.9545 1.8425 3.390E-06 0.9487 1.8311 30 7.731E-05 0.9544 1.8425 3.222E-06 0.9504 1.8311 31 7.393E-05 0.9563 1.8425 3.067E-06 0.9519 1.8311 32 7.070E-05 0.9564 1.8425 2.923E-06 0.9532 1.8311 33 6.775E-05 0.9582 1.8425 2.790E-06 0.9543 1.8311 34 6.492E-05 0.9584 1.8425 2.665E-06 0.9554 1.8311 35 6.233E-05 0.9600 1.8425 2.549E-06 0.9564 1.8311 36 5.984E-05 0.9602 1.8425 2.440E-06 0.9573 1.8311 37 5.755E-05 0.9616 1.8425 2.338E-06 0.9581 1.8311 38 5.535E-05 0.9618 1.8425 2.242E-06 0.9589 1.8311 39 5.331E-05 0.9631 1.8425 2.151E-06 0.9596 1.8311 40 5.134E-05 0.9632 1.8425 2.065E-06 0.9598 1.8311 41 4.950E-05 0.9640 1.8425 1.982E-06 0.9599 1.8311 42 4.772E-05 0.9641 1.8425 1.902E-06 0.9598 1.8311 43 4.603E-05 0.9647 1.8425 1.825E-06 0.9596 1.8311 44 4.441E-05 0.9647 1.8425 1.751E-06 0.9592 1.8311 45 4.286E-05 0.9651 1.8425 1.679E-06 0.9588 1.8311 46 4.136E-05 0.9650 1.8425 1.609E-06 0.9583 1.8311 47 3.993E-05 0.9654 1.8425 1.541E-06 0.9579 1.8311 48 3.854E-05 0.9653 1.8425 1.475E-06 0.9574 1.8311 49 3.721E-05 0.9656 1.8425 1.412E-06 0.9570 1.8311 50 3.593E-05 0.9655 1.8425 1.351E-06 0.9567 1.8311 51 5.198E-05 1.4467 1.9024 1.826E-06 1.3517 1.8880 52 4.990E-05 0.9601 1.9024 1.734E-06 0.9498 1.8880 53 4.788E-05 0.9595 1.9024 1.646E-06 0.9490 1.8880 54 4.591E-05 0.9589 1.9024 1.561E-06 0.9484 1.8880 55 4.402E-05 0.9586 1.9024 1.480E-06 0.9479 1.8880 56 4.218E-05 0.9582 1.9024 1.402E-06 0.9475 1.8880 57 4.041E-05 0.9582 1.9024 1.328E-06 0.9474 1.8880 58 3.871E-05 0.9580 1.9024 1.258E-06 0.9474 1.8880 59 3.709E-05 0.9581 1.9024 1.192E-06 0.9476 1.8880 60 3.554E-05 0.9581 1.9024 1.130E-06 0.9481 1.8880 61 3.406E-05 0.9584 1.9024 1.072E-06 0.9487 1.8880 62 3.264E-05 0.9585 1.9024 1.018E-06 0.9494 1.8880 63 3.130E-05 0.9589 1.9024 9.677E-07 0.9504 1.8880 64 3.002E-05 0.9591 1.9024 9.207E-07 0.9515 1.8880 65 2.880E-05 0.9595 1.9024 8.772E-07 0.9527 1.8880 66 2.766E-05 0.9602 1.9024 8.369E-07 0.9541 1.8880 67 2.657E-05 0.9606 1.9024 7.998E-07 0.9556 1.8880 68 2.553E-05 0.9610 1.9024 7.655E-07 0.9572 1.8880 69 2.455E-05 0.9615 1.9024 7.340E-07 0.9588 1.8880 70 2.361E-05 0.9619 1.9024 7.049E-07 0.9604 1.8880 71 2.273E-05 0.9624 1.9024 6.781E-07 0.9621 1.8880 72 2.188E-05 0.9628 1.9024 6.535E-07 0.9637 1.8880 73 2.108E-05 0.9634 1.9024 6.308E-07 0.9653 1.8880 74 2.031E-05 0.9638 1.9024 6.099E-07 0.9668 1.8880 75 1.959E-05 0.9643 1.9024 5.905E-07 0.9683 1.8880 76 2.324E-05 1.1862 1.9256 7.869E-07 1.3325 1.9229 77 2.238E-05 0.9630 1.9256 7.613E-07 0.9675 1.9229 78 2.155E-05 0.9631 1.9256 7.373E-07 0.9684 1.9229 79 2.076E-05 0.9632 1.9256 7.147E-07 0.9694 1.9229 80 2.000E-05 0.9634 1.9256 6.936E-07 0.9704 1.9229 81 1.927E-05 0.9636 1.9256 6.736E-07 0.9713 1.9229 82 1.857E-05 0.9639 1.9256 6.549E-07 0.9721 1.9229 83 1.791E-05 0.9642 1.9256 6.371E-07 0.9729 1.9229 84 1.727E-05 0.9645 1.9256 6.203E-07 0.9736 1.9229 85 1.666E-05 0.9648 1.9256 6.044E-07 0.9743 1.9229 86 1.608E-05 0.9651 1.9256 5.891E-07 0.9748 1.9229 87 1.553E-05 0.9655 1.9256 5.746E-07 0.9753 1.9229 88 1.500E-05 0.9658 1.9256 5.606E-07 0.9757 1.9229 89 1.449E-05 0.9662 1.9256 5.472E-07 0.9761 1.9229 90 1.400E-05 0.9665 1.9256 5.342E-07 0.9763 1.9229 91 1.354E-05 0.9668 1.9256 5.217E-07 0.9766 1.9229 92 1.309E-05 0.9672 1.9256 5.096E-07 0.9767 1.9229 93 1.267E-05 0.9676 1.9256 4.978E-07 0.9769 1.9229 94 1.226E-05 0.9679 1.9256 4.864E-07 0.9770 1.9229 95 1.187E-05 0.9683 1.9256 4.752E-07 0.9770 1.9229 96 1.150E-05 0.9686 1.9256 4.643E-07 0.9770 1.9229 97 1.114E-05 0.9689 1.9256 4.536E-07 0.9770 1.9229 98 1.080E-05 0.9693 1.9256 4.431E-07 0.9770 1.9229 99 1.047E-05 0.9696 1.9256 4.329E-07 0.9769 1.9229 100 1.016E-05 0.9699 1.9256 4.229E-07 0.9768 1.9229 101 1.171E-05 1.1531 1.9413 5.505E-07 1.3018 1.9459 102 1.135E-05 0.9693 1.9413 5.355E-07 0.9726 1.9459 103 1.100E-05 0.9693 1.9413 5.207E-07 0.9723 1.9459 104 1.067E-05 0.9694 1.9413 5.061E-07 0.9720 1.9459 105 1.034E-05 0.9695 1.9413 4.918E-07 0.9718 1.9459 106 1.003E-05 0.9697 1.9413 4.778E-07 0.9715 1.9459 107 9.726E-06 0.9698 1.9413 4.640E-07 0.9712 1.9459 Iteration converged. Generation completed. Problem description: 0.205-GHz TM010 Modified Pillbox Cavity Pillbox cavity with a 7-cm-radius bore tube [Originally appeared in 1987 User's Guide 1.4] Problem file: C:\LANL\Examples\RadioFrequency\PillboxCavities\MODPILL.AF 11-12-2007 14:31:26 Problem file length: 731 bytes Originating program: Autofish Problem type: Unknown RF Cavity Problem constants and variables. Letter A in the code column indicates a value supplied in the Automesh input file. Variable Code Value Description ALPHAT 3.930000000E-03 Temperature coefficient of resistance ASCALE 3767.30313 Scaling factor for H at drive point BETA A 0.950000000 Particle velocity BETA1 0.100000000 Starting BETA in transit-time table BETA2 0.950000000 Ending BETA in transit-time table CCLDELK 1.00000000 Increment for coupling for table in SFO CCLMAXK 6.00000000 Highest coupling for table in SFO CCLMINK 1.00000000 Lowest coupling for table in SFO CLENGTH 0.0 Cavity length for normalization in SFO CLIGHT 2.997924580E+10 Exact speed of light in cm/sec CONV 1.00000000 Length conversion (number of units per cm) DBETA 5.000000000E-02 BETA increment in transit-time table DELFR 0.0 Frequency step size for a resonance search DIAGDLL 0 If 1, DLL writes diagnostics to DiagDLL.txt DPHI 180.000000 Phase length of the problem geometry DSLOPE 1.00000000 Slope of D(k^2) function DSTOLER 2.000000000E-02 Tolerance required on D(k^2) DX1 0.199436620 First X mesh interval (at XMIN) DXMIN 0.199436620 Minimum X mesh interval (found by Automesh) DYMIN 0.173436533 Minimum Y mesh interval (found by Automesh) ENORM 1000000.00 Field normalization for NORM=4 option EPS0 8.854187818E-12 Permittivity of free space EPSIK 1.000000000E-04 Frequency convergence parameter EPSO 1.000000000E-05 Convergence parameter in mesh optimization EZERO 1000000.00 E0 for normalization in SFO when NORM=0 EZEROT 1000000.00 E0*T for normalization in SFO when NORM=1 FMU0 1.256637061E-06 Permeability of free space FREQ A 205.250000 RF cavity resonant frequency FREQD 0.0 Design frequency for a cavity (MHz) HPHI 5000.00000 Normalization magnetic field for NORM=2 IBETA 0 If >0, SFO writes transit-time vs BETA ICCC 1 1 for real arrays, 2 for complex arrays ICCP 1 If 1, compute material power loss ICORNER1 0 First corner segment for computing average H ICORNER2 0 Last corner segment for computing average H ICYLIN A 1 0 for X,Y problems, 1 for Z,R problems IMAX 145 KMAX+2 INFODATA 0 Number of tuning-code parameters IOBSEG -1 First segment of the CCL outer boundary IPIVOT 1 Pivoting in matrix inversion routines IRESID 0 If 1, calculate potential residuals IRMAX 25 Used in optimization of RHOXY IRTYPE 0 Surface resistance option indicator ISLOT 0 If 1, SFO computes coupling-slot power loss ITFILE 0 If 1, SFO writes transit-time plot file ITOT 47270 (KMAX+2)*(LMAX+2) KDRI 1 K coordinate of the drive point KMAX 143 Number of horizontal logical mesh points KMETHOD A 1 Wavenumber computation method (1= use beta) KPROB A 1 Problem type indicator (Superfish) LAST35 0 Code for last program to update T35 file LCYCLE 107 Iteration number in mesh optimization LDRI 324 L coordinate of the drive point LINT 1 Logical-mesh coordinate for Ez integration LMAX 324 Number of vertical logical mesh points MAXCY -1 Maximum number of cycles (-1: use default) MAXPPR 932 Maximum points per region NAIR 30906 Number of air points NBND 143 Number of Dirichlet boundary points NBSLF 1 Left-side boundary condition NBSLO 0 Lower boundary condition NBSRT 1 Right-side boundary condition NBSUP 1 Upper boundary condition NDRI 46982 Drive point index = IRLAX(NPINP) NEGAT 0 Zero-area triangle indicator NFE 0 Number of iron points NHSTEM 1 Number of half stems NINTER 0 Number of interface points NMATR 0 Number of material records in T35 file NORM 0 Normalization method in SFO NPBOUND 931 Total number of boundary points in the mesh NPINP 31050 Total points in problem NPONTS 30120 Number of unknown relaxation points NREG 2 Number of regions NRMSEG 1 Normalization segment number for NORM=2 NSEG 6 Number of boundary segments NSPL 1 Number of special-potential points NSTEP 0 Number of steps for a resonance search OMEGAM 1.000000000E-03 Used in optimization of RHOXY PI 3.14159265 The number pi to machine precision PLCELL 360.000000 Phase length per cell for multicell problems RESIDR 1.000000000E-08 Residual resistance of a superconductor RFMU 1.00000000 Permeability for rf surface resistance RHO 1.724100000E-06 Material resistivity (Ohm-m) RHOR 1.724100000E-06 Reference resistivity (Ohm-cm) at TEMPR RHOXY 1.60000000 Over-relaxation factor in mesh optimization RMASS -2.00000000 Rest mass energy of particle in SFO RS 0.0 RF surface resistance (Ohms) RSTEM 1.00000000 Stem radius in cm SLOSS 3.000000000E-02 Coupling-slot power factor per % coupling TC 9.20000000 Critical temperature of a superconductor TEMPC 20.0000000 Normal conductor operating temperature TEMPK 2.00000000 Operating temperature of a superconductor TEMPR 20.0000000 Reference temperature for IRTYPE=3 TRIAVG 1.726540021E-02 Average area of all triangles TRIMAX 2.311644706E-02 Area of the largest positive-area triangle TRIMIN 1.034002282E-02 Area of the smallest positive-area triangle VOLUME 174199.387 Cavity volume (cylindrical symmetry only) XDRI A 0.0 X coordinate of the drive point XMAXG 28.3200000 Upper X bound of the problem geometry XMING 0.0 Lower X bound of the problem geometry XNORM1 0.0 Starting X for NORM=4 integration path XNORM2 0.0 Ending X for NORM=4 integration path XYAREA 1056.09000 Total cross sectional area YDRI A 56.0200000 Y coordinate of the drive point YMAXG 56.0200000 Upper Y bound of the problem geometry YMING 0.0 Lower Y bound of the problem geometry YNORM1 0.0 Starting Y for NORM=4 integration path YNORM2 0.0 Ending Y for NORM=4 integration path ZCTR 0.0 Reference Z in transit-time integrals