Input specification:
General tab
Accuracy optimization:
Calculation mode: Normal
Type of low border conductivity: Perfect
Green functions and their normal derivatives: Remainder term, accelerating convergence: On
Logarithmic singularity accounting: On
Profile curvature accounting: On
Phase jump accounting: On
Number of terms: 50 % of points N
Grating shape:
Type of grating shape: Plane
Grating shape parameters: Grooved width: 100 mm
Groove height: 200 mm
Number of plane sections: Meridional: 1
Sagittal: 1
Frequency: 5000 grooves/mm
Beam and mounting geometry:
Wavelength: 13.5 nm
Wave front type: Plane
Type of diffraction: Conical (off-plane)
Azimuth angle: 74.5 deg.
Type of polarization: General
Polarization angle: 45 deg.
Phase difference: 60 deg.
Optical mount configuration: General
Polar angle: 7.5 deg.
Scanning options:
Scanning parameter # 1: Azimuth angle
Scan range number: 1
Scan range start value: 72 deg.
Scan range step value: 0.1 deg.
Scan range end value: 78 deg.
Scanning parameter # 2: Trapezoid left angle
Scan range number: 1
Scan range start value: 5 deg.
Scan range step value: 0.1 deg.
Scan range end value: 10 deg.
Layers tab
Layer 0:
Refractive index/Electric permittivity origin: Custom
Refractive index: Re: 1
Im: 0
Border 1:
Function of border profile tab
Type of profiles: Trapezoidal/Sawtooth
Left angle: 7.5 deg.
Accuracy parameters tab
Type of integration step: Equal S-interval
Number of collocation points N: 100
Using half-segment shift: Off
Layer 1:
Rms roughness: 5 Å
Upper profile horizontal offset: 0
Refractive index/Electric permittivity origin: From library: Mo_CXRO_May_2006.ari
Type of inter/extrapolation: Linear
Output specifications:
· Export the “Input parameters” and “Far field parameters” reports for the whole scan ranges to MS Excel™.
· Draw a table for the Energy balance, Energy balance (TE), Energy balance (TM), Reflected energy, Reflected energy (TE), Reflected energy (TM), Efficiency of reflected order # -1, Efficiency (TE) of reflected order # -1, and Efficiency (TM) of reflected order # -1 functions (with four digits after a decimal point) vs. scanning parameters, export the table to MS Excel™, and print it.
The step-by-step instruction for entering the above listed grating and light parameters (in accordance with the input specification), running calculations, and saving results follows further.
· Run (open) the Main application.
· Press the General tab in the lower left corner.
· Choose the Accuracy optimization item in the upper left corner.
· Press the Normal button in the Calculation mode group and, if necessary, click the OK button in the dialog window.
· Press the Perfect button in the Type of low border conductivity group.
· Check the Remainder term, accelerating derivatives check box.
· Check the Logarithmic singularity accounting check box.
· Check the Profile curvature accounting check box.
· Check the Phase jump accounting check box.
· Enter “50” in the Number of terms, % of points N field.
· Choose the Grating shape item in the upper left corner.
· Choose the Plane radio button in the Type of grating shape group in the upper right corner.
· Enter “100” and use the default unit in the Grooved width field in the Grating shape parameters group (to change a unit, right-click the unit and, then, check the mm unit on the context menu).
· Enter “200” and use the default unit in the Groove height field in the group.
· Enter “1” in the Meridional field in the Number of plane sections group.
· Enter “1” in the Sagittal field in the group.
· Press the Frequency button in the unnamed group.
· Enter “5000” in the Frequency field.
· Choose the Beam and mounting geometry item in the upper left corner.
· Enter “13.5” and use the default unit in the Wavelength field in the upper right corner (to change a unit, right-click the unit and, then, check the nm unit on the context menu).
· Press the Plane button in the Wave front type group.
· Press the Conical (off-plane) button in the Type of diffraction group.
· Enter “78.5” and use the default unit in the Azimuth angle Æ field in the group (to change a unit, right-click the unit and, then, check the deg unit on the context menu).
· Press the General button in the Type of polarization group.
· Enter “45” and use the default unit in the Polarization angle ´ field in the group.
· Enter “60” and use the default unit in the Phase difference È field.
· Press the General button in the Optical mount configuration group.
· Enter “7.5” and use the default unit in the Polar angle ¸ field in the group.
· Choose the Scanning options item in the upper left corner.
· Choose the ±-item in the Scanning parameters tree in the middle.
· Click the “>” button on the right.
· Repeat the previous two steps until nothing is left in the Scanning parameters field.
· Choose the Azimuth angle item in the list of parameters in the Parameters available for scanning item on the right.
· Click the “<” button.
· Choose the Trapezoid left angle item in the Parameters available for scanning item.
· Click the “<” button.
· Use the default unit and choose the Scan range 1 item in the Azimuth angle parameter in the Scanning parameters tree in the middle (to change a unit, choose the Azimuth angle item and, then, the deg item in the Measurement unit combo-box on the right).
· Enter “78” in the Scan range end value field on the right.
· Enter “0.1” in the Scan range step value field.
· Enter “72” in the Scan range start value field.
· Choose the Border 1 item in the Trapezoid left angle parameter in the Scanning parameters tree and use the default unit (to change a unit, choose the deg item in the Measurement unit combo-box).
· Choose the Scan range 1 item in the Border 1 item.
· Enter “5” in the Scan range start value field.
· Enter “0.1” in the Scan range step value field.
· Enter “10” in the Scan range end value field.
· Press the Layers tab in the lower left corner.
· Choose the Layer 0 item in the tree on the left.
· Choose the Custom item in the lower combo-box in the Refractive index/Electric permittivity group in the middle.
· Enter “1.0” in the Re field in the group.
· Enter “0” in the Im field
· Choose the Border 1 item in the tree on the left.
· Press the Function of border profile tab in the middle.
· Press the Trapezoidal button.
· Press the Sawtooth button.
· Enter “7.5” and use the default unit in the Left angle field (to change a unit, right-click the unit and, then, check the deg unit on the context menu).
· Press the Accuracy parameters tab.
· Press the Equal S-interval button in the Type of integration step group.
· Enter “100” in the Number of collocation points N field.
· Uncheck the Using half-segment shift check box.
· Delete a layer item having a number greater than 1, if any exists, by choosing it and clicking the Delete selected item button on the Main toolbar, or choosing Edit/Layers & borders/Delete item on the Main menu, or right-clicking the Layer # item and, then, clicking the Delete selected item command on the context menu.
· Repeat the previous step for all layer items having numbers greater than 1.
· Choose the Layer 1 item in the tree on the left.
· Right-click the nm unit near the Rms roughness field in the Geometry of layer group in the middle and, then, check the A unit on the context menu.
· Enter “5” in the Rms roughness field in the group.
· Enter “0” in the Upper profile horizontal offset field.
· Choose the Refractive index item in the upper combo-box in the Refractive index/Electric permittivity group.
· Choose the From library item in the lower combo-box in the group.
· Choose (or press the Browse button before) the Refractive Index Files In Additional Format (*.ari) item in the Files of type combo box in the Open dialog window.
· Choose the “Mo_CXRO_May_2006.ari” file in the …/PCGrate* 6.1/RI directory and, then, click the Open button.
· Press the Linear button in the Type of inter/extrapolation group.
· Click the Check parameters button on the Main toolbar or choose the Calculations & Results/Check item on the Main menu and, then, click the OK button to see the memory requirements in the status pane.
· Open the PCGrate Solver window, clicking its icon on the system tray.
· Choose the Tools/Options item on the Main menu of the PCGrate Solver application.
· Uncheck the Save near field parameters check box in the PCGrate Solver Options dialog window.
· Click the Start calculations button on the Main toolbar or choose the Calculations & Results/Start item on the Main menu.
· Type “Grating Example 4” as a name of the solved problem in the field (instead of default name) and click the Save button when the PCGrate problem solved dialog window appears.
During the calculations you can see status information on the solving process in the status pane of the PCGrate* 6.1 Main application (if the Enable Status Sending flag on The Tools Menu of the PCGrate* 6.1 Solver application is on – see more in Computation Process).
The step-by-step instruction for saving output data files and preparing and printing a table containing the above-described functions (in accordance with the output specification) follows further.
· Run (open) the Main application.
· Press the Results tab in the lower left corner.
· Choose a name of the currently solved problem Grating Example 4 in the tree (by default, the last file name) on the left and open it by double-click on the name (or click the “cross” symbol on the left of the name).
· Choose the Calculations & results/Full reports/Export to XLS/Input parameters…item on the Main menu or right-click the Text reports item in the tree and, then, select the Export full report to XLS/Input parameters…item.
· Type a name in the field (or use default name instead) in the Save As dialog window and click the Save button.
· Choose the Calculations & results/Full reports/Export to XLS/Far field parameters…item on the Main menu or right-click the Text reports item in the tree and, then, select the Export full report to XLS/Far field parameters…item.
· Type a name in the field (or use default name instead) in the dialog window and click the Save button.
· Choose the Tables item in the tree on the left.
· Click the Add graph/table button on the Main toolbar, or choose the Graphs &Tables/Add item on the Main menu, or right-click the Tables item and, then, click the Add table item on the context menu.
· Type a name in the Table name field (or use default name instead) in the Add table dialog window and click the OK button.
· Choose the <Table name> item in the tree on the left (the sub-graph of the Tables item).
· Click the Add rows button in the upper right corner.
· Open the name of the parameter Azimuth angle in the tree on the right in the Add rows dialog window by double-click on the name (or click the “cross” symbol on the left of the name).
· Choose the Scan range 1 item in the Azimuth angle parameter.
· Click the “<” button in the middle of the Add rows dialog window.
· Open the name of the parameter Trapezoid left angle in the tree on the right by double-click on the name (or click the “cross” symbol on the left of the name).
· Open the name of the border Border 1 in the tree by double-click on the name (or click the “cross” symbol on the left of the name).
· Choose the Scan range 1 item in the Border 1 item in the Trapezoid left angle parameter.
· Click the “<” button.
· Click the Ok button in the dialog window.
· Click the Adjust columns button on the right.
· Choose the Energy balance item in the Parameters list in the Adjust columns dialog window.
· Click the “<” button in the middle of the dialog window.
· Choose the Energy balance (TE) item in the Parameters list.
· Click the “<” button in the dialog window.
· Choose the Energy balance (TM) item.
· Click the “<” button.
· Choose the Reflected energy item.
· Click the “<” button.
· Choose the Reflected energy (TE) item.
· Click the “<” button.
· Choose the Reflected energy (TM) item.
· Click the “<” button.
· Choose the Efficiency of order item in the list and type “-1” in the (for order #, reflected) field below.
· Click the “<” button.
· Choose the Efficiency (TE) of order item.
· Click the “<” button.
· Choose the Efficiency (TM) of order item.
· Click the “<” button.
· Click the OK button in the dialog window.
· Right-click the Scan step button, choose the Digits item on the context menu, and click item 1.
· Right-click the Bal. button, choose the Digits item on the context menu, and click item 6.
· Right-click the Bal.(TE) button, choose the Digits item on the context menu, and click item 6.
· Right-click the Bal.(TM) button, choose the Digits item on the context menu, and click item 6.
· Right-click the Refl.En. button, choose the Digits item on the context menu, and click item 4.
· Right-click the Refl.En.(TE) button, choose the Digits item on the context menu, and click item 4.
· Right-click the Refl.En. (TM) button, choose the Digits item on the context menu, and click item 4.
· Right-click the Eff.(-1,R) button, choose the Digits item on the context menu, and click item 4.
· Right-click the Eff.TE(-1,R) button, choose the Digits item on the context menu, and click item 4.
· Right-click the Eff.TM(-1,R) button, choose the Digits item on the context menu, and click item 4.
· Click the Autosize columns button on the right or choose the same item on the context menu by right-click.
· Click the Save graph(s)/table(s) button on the Main toolbar, or choose the Graphs &Tables/Save item on the Main menu, or right-click the <Table name> sub-item in the Tables item in the tree on the left and, then, click the Save item on the context menu.
· Click the Export to XLS button, type a name in the field (or use the default name instead), and, then, click the Save button.
· Click the Print button on the Main toolbar or choose the File/Print item on the Main menu.
· Choose options in the Print dialog window (or use default options instead) and, then, click the OK button.
Your exported Excel-type files “Grating Example 4 Input Parameters.xls”, “Grating Example 4 Far Field Parameters.xls”, and “Grating Example 4 Table ‘Table #’” for the whole scan ranges are stored in the
…/PCGrate* 6.1/Exports directory. The main output data file “Grating Example 4.pcg” that contains all the necessary information on the problem as well as the additional “Grating Example 4 Tables.dat” and “Grating Example 4 Orders.dat” files are stored by default in the
…/PCGrate* 6.1/Results directory, but you can copy (obtain) these files to (from) any directory using the program’s Main menu “Calculations & Results/Results file/Copy to (Obtain from)” item or right-clicking the context menu and choosing the same item (see
The Results Tab). You can see an example of resulting table
Figure #23.