graph and fit coefficient
Contents
1. 5 00D 03 6 00D 13 2 00D 03 1 9 59D 08 6 1 00D 04 6 00D 13 2 00D 03 2 9 92D 08 9 1 50D 04 6 00D 13 2 00D 03 2 90D 08 9 97D 08 1 08D 08 2 00D 04 6 00D 13 2 00D 03 3 9 92D 08 1 2 50D 04 6 00D 13 2 00D 03 3 9 79D 08 1 NOTE 1 gt BEAM STOPPING COEFFICIENT EXTRAPOLATED FOR ENERGY DENSITY TEMPERATURE TRIPLET 2 ION FRACTIONS GIVEN IN BRACKETS BELOW ION SYMBOLS ADAS User manual Chap4 04 17 March 2003 The output from the programme for hydrogen beam emission coefficients for a composite plasma of H Het and B is illustrated in figure 4 4b and the tabulated output in table 4 4b Figure 4 4b BEAM EMISSION COEFFICIENT vs BEAM ENERGY ADAS ADAS RELEASE ADAS93 V1 13 PROGRAM ADAS304 V1 6 DATE 15 04 98 TIME 14 22 FILE bme97 h IONS BB H1 HEZ KEY CROSSES FULL LINE SPLINE T ee TT T AA USER INPUT DATA STOPPING ION FRACTIONS INDEX ION CHARGE FRACTION 1 B 5 0 050 E 4 2 H 1 0 900 3 HE 2 0 050 ENERGY DENSITY TEMP TRIPLETS a INDEX BEAM TARGET TARGET ENERGY DENSITY TEMP LL ev cm ev 5 000E 03 6 000E 13 2 000E 03 1 000E 04 6 000E 13 2 000E 03 1 500E 04 6 000E 13 2 000E 03 2 000E 04 6 000E 13 2 000E 03 2 500E 04 6 000E 13 2 000E 03 3 000E 04 6 000E 13 2 000E 03 3 500E 04 6 000E 13 2 000E 03 4 000E 04 6 000E 13 2 000E 03 4 500E 04 6 000E 13 2 000E 03 5 000E 04 6 000E 13 2 000E2. is interpolated by a cubic spline at user selected plasma parameters for graphical display and tabular output Additionally a polynomial approximation may obtained by making the appropriate selections 3 The selection of beam energy density and temperature sets for data output must be made The source values are held as one dimensional scans relative to reference values for each impurity separately The minimum and maximum for each impurity is shown in the Input columns The table may be edited by clicking on the Edit Table button ADAS User manual Chap4 04 17 March 2003 Default Output Values and Clear Table buttons are provided A choice of which parameter of the input model set to use as the x co ordinate of graphs is given Click on the required button 6 The mixture of species contributing to the stopping is assembled at d This again is an editable table Click Edit Table to pop up the ADAS Table Editor The required fractions may then be entered Normalisation to unity takes place 7 The Exit to Menu icon is present in ADAS304 Clicking the Done button causes the output options window to be displayed Remember that Cancel takes you back to the previous window Aa The Output options window is shown below 1 Graphical display is activated by the Graphical Output button This will cause a graph to be displayed following completion of this window When graphical display is active an arbitrary title may be entered which appe
3. rate coefficient is given as well as the individual species contributions to the stopping The solid lines are spline fits and the dotted lines give the minimax polynomial fits The tabulated output is shown in table 4 4a Figure 4 4a ADAS User manual Chap4 04 17 March 2003 BEAM STOPPING COEFFICIENT vs BEAM ENERGY ADAS ADAS RELEASE ADAS93 V1 13 PROGRAM ADAS304 V1 6 DATE 15 04 98 TIME 14 20 FILE bms97 h IONS B5 H1 HE2 KEY CROSSES FULL LINE SPLINE DASH LINE MINIMAX h USER INPUT DATA io oe T T TTT TT T T TTT TT T TTT TTT I STOPPING ION FRACTIONS H 4 INDEX ION CHARGE FRACTION FF 1 B 5 0 050 E 4 2 H 1 0 900 _ 3 HE 2 0 050 fr T ENERGY DENSITY TEMP TRIPLETS L 4 INDEX BEAM TARGET TARGET ENERGY DENSITY TEMP R ev cm ev 2 1 5 000E 03 6 000E 13 2 000E 03 7 2 1 000 04 6 000E 13 2 000 03 E 10 3 1 500E 04 6 000E 13 2 000E 03 sr E 4 2 000 04 6 000E 13 2 000E 03 Re H1 4 5 2 500 04 6 000E 13 2 000E 03 6 3 000E 04 6 000E 13 2 000E 03 a fe 4 7 3 500 04 6 000E 13 2 000 03 5 E 4 8 4000E 04 6 000E 13 2 000 03 Fra 9 4500E 04 6 000E 13 2 000 03 r F B5 10 5 000E 04 6 000E 13 2 000E 03 Li 11 5 500E 04 6 000E 13 2 000E 03 Q H A 4 12 6 0005 04 6 000E 13 2 000 03 o or 13 6 500E 04 6 000E 13 2 000E 03 o 14 7 000E 04 6 000E 13 2 000E 03 z F 4 15 7 500E 04 6 000E 13 2 000E 03
4. 03 5 500E 04 6 000E 13 2 000E 03 6 000E 04 6 000E 13 2 000E 03 6 500E 04 6 000E 13 2 000E 03 7 000E 04 6 000E 13 2 000E 03 7 500E 04 6 000E 13 2 000E 03 8 000E 04 6 000E 13 2 000E 03 8 500E 04 6 000E 13 2 000E 03 9 000E 04 6 000E 13 2 000E 03 9 500E 04 6 000E 13 2 000E 03 1 000E 05 6 000E 13 2 000E 03 1 050E 05 6 000E 13 2 000E 03 1 100E 05 6 000E 13 2 000E 03 23 1 150E 05 6 000E 13 2 000E 03 A 24 1 200E 05 6 000E 13 2 000E 03 A 25 1 250E 05 6 000E 13 2 000E 03 B5 OOOVOTHARWN OOMNAUARUN 10 t 10 y lj NN ae TTT y I 11 N N BEAM EMISSION COEFFICIENT cm s I 107 I es fe ATA el fs he fee 10 10 10 BEAM ENERGY eV Table 4 4b ADAS RELEASE ADAS93 V1 13 PROGRAM ADAS304 V1 6 DATE 15 04 98 TIME 14 34 x k TABULAR OUTPUT FROM BEAM EMISSION COEFFICIENT INTERROGATION PROGRAM ADAS304 DATE 15 04 98 INPUT DATA SET bme97 h MEMBERS B5 H1 HE2 ION CHARGE FRACTION B 5 0 050 H 1 0 900 HE 2 0 050 HE O SSS SSS TOTAL BEAM EMISSION COEFFICIENTS BEAM TARGET TARGET BEAM EMISSION ENERGY DENSITY TEMP COEFFICIENT EV CM 3 EV CM3 S 1 5 00D 03 6 00D 13 2 00D 03 3 13D 10 1 00D 04 6 00D 13 2 00D 03 3 10D 10 1 50D 04 6 00D 13 2 00D 03 3 41D 10 2 00D 04 6 00D 13 2 00D 03 3 81D 10
5. 16 8 000E 04 6 000E 13 2 000 03 x 17 8 500E 04 6 000E 13 2 000 03 ra HH 18 9000E 04 6 000E 13 2 000E 03 E E HA HH HE2 19 9500E 04 6 000E 13 2 000E 03 v 4978 Ez H 20 1 000E 05 6 000E 13 2 000E 03 E 4 21 1 050E 05 6 000E 13 2 000E 03 lt F 4 22 1 1006 05 6 000E 13 2 000 03 w E zl 23 1 150E 05 6 000E 13 2 000E 03 ao ae 4 24 1 200E 05 8 000E 13 2 000E 03 4 25 1 250E 05 6 000E 13 2 000E 03 li FITTING INFORMATION ION TYPE DEG A CRCY END GRADIENT _ Z LOWER UPPER B5 LOGAT 3 235 0 65 0 32 Hi LOGET 2 1 33 0 10 0 29 HE2 LOGFIT 2 1 46 0 54 0 26 1079 L 1 1 111 EE TE iit ALL LOGFIT 2 250 0 13 0 17 10 10 109 108 BEAM ENERGY eV Table 4 4a ADAS RELEASE ADAS93 V1 13 PROGRAM ADAS304 V1 6 DATE 15 04 98 TIME 14 32 X TABULAR OUTPUT FROM BEAM STOPPING COEFFICIENT INTERROGATION PROGRAM ADAS304 DATE 15 04 98 INPUT DATA SET bms97 h MEMBERS B5 H1 HE2 ION CHARGE FRACTION B 5 0 050 H 1 0 900 HE 2 0 050 A A a TOTAL BEAM STOPPING COEFFICIENTS BEAM TARGET TARGET BEAM STOPPING ENERGY DENSITY TEMP COEFFICIENT EV CM 3 EV CM3 S 1 00D 03 6 00D 13 2 00D 03 00D 04 6 00D 13 2 00D 03 00D 04 6 00D 13 50D 04 6 00D 13 00D 03 00D 03 5 2 1 1 2 1 1 50D 04 6 00D 13 2 00D 03 1 39D 07 2 2 1 2 2 1 BEAM TARGET TARGET BEAM STOPPING COEFFICIENT CM3 S 1 ENERGY DENSITY TEMP B5 H1 HE2 EV CM 3 EV 0 05 0 90 0 05
6. 2 50D 04 6 00D 13 2 00D 03 4 32D 10 BEAM EMISSION COEFFICIENT EXTRAPOLATED FOR ENERGY DENSITY TEMPERATURE TRIPLET ADAS User manual Chap4 04 17 March 2003 BEAM TARGET TARGET BEAM EMISSION COEFFICIENT CM3 S 1 ENERGY DENSITY TEMP B5 H1 HE2 EV CM 3 EV 0 05 0 90 0 05 5 00D 03 6 00D 13 2 00D 03 1 03D 10 1 74D 10 3 56D 11 1 00D 04 6 00D 13 2 00D 03 9 86D 11 1 73D 10 3 80D 11 1 50D 04 6 00D 13 2 00D 03 1 09D 10 1 90D 10 4 19D 11 2 00D 04 6 00D 13 2 00D 03 1 18D 10 2 16D 10 4 66D 11 2 50D 04 6 00D 13 2 00D 03 1 30D 10 2 50D 10 5 24D 11 NOTE 1 gt BEAM EMISSION COEFFICIENT EXTRAPOLATED FOR ENERGY DENSITY TEMPERATURE TRIPLET 2 ION FRACTIONS GIVEN IN BRACKETS BELOW ION SYMBOLS Notes ADAS User manual Chap4 04 17 March 2003
7. ADAS304 Effective beam emission spectroscopy stopping data graph and fit coefficient The program interrogates beam stopping or beam emission coefficient files of type ADF21 or ADF22 Data is extracted for stopping by a composite plasma consisting of a mixture of protons deuterons and fully ionised impurities The data is interpolated using cubic splines at selected beam energy target density and target temperature triplets Minimax polynomial fits are made to the interpolated data The total stopping and partial stopping by each species are given The beam emission coefficients are handled in a similar manner The interpolated data are displayed and a tabulation prepared The tabular and graphical output may be printed and includes the polynomial approximations Background theory For a neutral beam species Z being stopped by fully stripped impurity species and electrons in the plasma the stopping coefficient is the effective loss rate coefficient of electrons from This corresponds closely to the effective ionisation rate coefficient or collisional radiative ionisation coefficient from the ground state of amp where charge transfer losses as well as direct ionisation losses are included It is usual to write the coefficient in terms of the plasma electron density N so that the loss rate is NST In creation of compact interpolable datasets of type ADF21 and ADF22 some simplifications are made The stopping coefficient data sets fo
8. ars on the top line of the displayed graph 2 By default graph scaling is adjusted to match the required outputs Press the Explicit Scaling button to allow explicit minima and maxima for the graph axes to be inserted Activating this button makes the minimum and maximum boxes editable ADAS304 OUTPUT OPTIONS Y Graphical output Graph Title Beam energy plot _ Explicit scaling Enable Hard Copy Replace Select Device Post Script File Name adas304 princeton plot2 ps _ Text Output Replace Default File Name Pile Nane Cancel Done 3 Hard copy is activated by the Enable Hard Copy button The File name box then becomes editable A choice of output graph plotting devices 1s given in the Device list window Clicking on the required device ADAS User manual Chap4 04 17 March 2003 selects it It appears in the selection window above the Device list window 4 The Text Output button activates writing to a text output file The file name may be entered in the editable File name box when Text Output is on The default file name paper txt may be set by pressing the button Default file name The Graphical output window is shown below 1 Printing of the currently displayed graph is activated by the Print button Print hier Illustration The output from the programme for hydrogen beam stopping in a composite plasma of Ht Het and Bt is illustrated in figure 4 4a The total stopping
9. ee letter class prefix may be added to the data set name The primary data in central ADAS has no prefix and so a typical data set name would be adas adas adf21 bms h bms h_be dat 5 ADAS304 allows you to select all the impurity files you wish easily Click the Reselect Ion List button 6 The small pop up selection widget appears showing available species Click the toggle buttons of those you wish to include 7 Click Done to restore the main input widget Your choices are shown at the Stopping Ion List 8 Clicking on the Browse Comments button displays any information stored with the selected data files It is important to use this facility to find out what has gone into the data set and the attribution of the data set 9 Clicking the Done button moves you forward to the next window Clicking the Cancel button takes you back to the previous window The processing options window has the appearance shown below 1 The Stopping ion list is repeated for information The Browse Comments button is also provided Title for cm Stopping ion list Bed c mi Polyecmial Fitte Pil Polynesia Walia Saleck co ordinate Lypa for output graph Output valses El ap Cepas Imput Eruryies Eruryies Densitiar Densi Units af Mhita i aF nits i J hit A E a Rote Total fraction should 1 00 a Otherwise valoss will ba rasermallsen edit Table Edit Tabla 2 The extracted data for a selected ion
10. r each impurity species are calculated as though that species alone is present in the plasma For species X of nuclear charge Zo of number density N 0 the electron density used in the stopping calculation is N z N C consistent with charge neutrality Let the stopping coefficient for the impurity species X be S oe then the loss rate is NS EN IAN CEN TT PENSE NTE distinguishing parts driven by excitation from the ground state of A by electron 4 4 1 collisions and by X ions respectively The coefficient is SK Eg NY TV See Eg NT 1 z SE EN DA The density dependence of the collisional radiative coefficient is written in terms of 4 4 2 the impurity ion density N Go since ion collisions primarily determine the collisional redistribution Consider a set of species X i 1 I with fractions f i 1 in the plasma causing a composite stopping The loss rate may be written approximately as NSG Es Ny Eo NSG Eg NT I NOSE ENAT 4 4 3 YN ASG Ep NT i l Se Eg Np 1 where ADAS User manual Chap4 04 17 March 2003 4 4 4 I I I NE Y No DNS NL af i 1 i l i l defines the proportions of the electron density contributed by each impurity species From an ion collisional redistribution point of view in a composite plasma the I gt Zo N Lo z welghted density sum is meaningful so the equivalent density of the k 1 single impurity X ze to correspond to the summed imp
11. series 3 menu Select ADAS304 The file selection window is shown below Its operation is a little different from usual Chap4 04 17 March 2003 1 ADF2I is the appropriate format for use by the program ADAS304 ADAS User Manual appxb 21 A root path to the correct data type ADF21 appears automatically Your personal data of this type should be held in a similar file structure to central ADAS but with your identifier replacing the first adas ADAS 304 INPUT Input Stopping Ion File Details Group name for input files bms97 h Usually bms97 lt beam gt Class prefix for input member I Up to 3 characters Blank none Stopping Ion List Be4 C6 H1 maximum of 10 Edit the processing gptions data and press Done to proceed Browse Comments Reselect Ion List Cancel Done 2 Buttons are present to set the data root to that of the Central data or to your personal User data provided it is in ADAS organisation Alternatively the data root may be edit explicitly T El Hake a Haximum of 10 selections Cancel Done 3 A group name for the input files is entered This is the name of a sub directory of ADF21 for a particular beam species usually H or He ADAS User manual Chap4 04 17 March 2003 The sub directory contains individual data sets for each impurity contributing to stopping identified by the element symbol 4 To increase flexibility in naming a thr
12. urity ion density for this purpose is I Nir N zh 445 k 1 and the equivalent electron density is I coi hequiv __ IN 2 Nil r WE zorSe Zoi 4 4 6 L Zok fk E k 1 ADAS310 evaluates the stopping amp emission coefficients as a function of electron density The approximate composite stopping coefficient is assembled from the pure species coefficients as 1 I SE By NT SR Ep NE Ky Zor Fi i l k l 4 4 7 The prescription outlined is equally applicable for the storage and handling of beam emission coefficients Program steps These are summarised in the figure below Figure 4 4 enter beam ies blicka begin stopping or se ect ions establis b Sug contributing ranges of eam emission file library to stopping data repeat gt repeat input ion fracts beam energy target density amp A temp triplets display beam E Output tables lt m gt form spline iterpolate and graphs PETE er s and minimax in one and two s end beam emission fits k A graphs dimensions ADAS User manual Interactive parameter comments Move to the directory in which you wish any ADAS created files to appear These include the output text file produced after executing any ADAS program paper txt is the default and the graphic file if saved e g graph ps if a postscript file Initiate ADAS and move to the
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