Introduction to v. 6.1  

 

In order to use the program efficiently, it is necessary to get oneself acquainted with the description of parameters and calculation modes. This section presents seven step-by-step examples of brief calculations of frequently used grating efficiency problems with scanning in varied parameters. The examples with references to the HTML Help also illustrate the selection of a “pivotal” parameter, which must be selected (or toggled) to access the parameter setting properly. The information on saving and exporting the output data files and on preparing graphs and tables for the described samples is included. All the examples of input *.grt files are stored in the …/PCGrate-S*/Examples directory and can be run by the PCGrate-S v. 6.1 Complete Demo software.  

On our website you can find more computation examples using the PCGrate-S(X) v. 6.1 program with data files, plots, and tables.  

Also, keep in mind !  

 

IMPORTANT NOTE  

If you change one Calculation Mode for another, all parameters of the grating except the scanning parameters will be set to their default values. Therefore, during the change of Calculation Mode you will see a confirmation window.  

 

Example 1: Ruled Spherical Al/Al2O3 Grating for the TM Polarization in the VUV  

   

Input specification:  

General tab  

Accuracy optimization:  

Calculation mode:                                                    Normal  

Type of low border conductivity:                              Finite  

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:                                              Spherical  

Grating shape parameters:                                        Grooved width: 50 mm  

                                                                               Groove height: 50 mm  

                                                                               Meridional radius: 200 mm  

Number of plane sections:                                        Meridional: 3  

                                                                               Sagittal: 3  

Frequency:                                                               3600 grooves/mm  

Beam and mounting geometry:  

Wavelength:                                                             140 nm  

Wave front type:                                                      Spherical  

                                                                               Wave radius: 97 mm  

Type of diffraction:                                                   Classical (in-plane)  

Type of polarization:                                                 TM(S)  

Optical mount configuration:                                     Littrow  

                                                                               Littrow order number: -1  

                                                                               Deviation angle: 0 deg.  

Scanning options:  

Scanning parameter:                                                 Wavelength  

Scan range number:                                                  1  

                                                                               Scan range start value: 90 nm  

                                                                               Scan range step value: 5 nm  

                                                                               Scan range end value: 190 nm  

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: 9 deg.  

                                                                               Classical ruled profile changing: On  

Accuracy parameters tab  

Type of integration step:                                           Equal S-interval  

Number of collocation points N:                               100  

Using half-segment shift:                                           Off  

Layer 1:  

Vertical shift between borders (layer thickness):        2 nm  

Rms roughness:                                                        0 nm  

Upper profile horizontal offset:                                  0  

Refractive index/Electric permittivity origin:               From library: Al2O3_Palik_handbook.ri  

Type of inter/extrapolation:                                       Linear  

Layer 2:  

Rms roughness:                                                        0 nm  

Upper profile horizontal offset:                                  0  

Refractive index/Electric permittivity origin:               From library: Al_Palik_handbook.ri  

Type of inter/extrapolation:                                       Linear  

   

Output specifications:  

·          Save the “Input parameters” and “Far field parameters” reports for a point of scan, 140 nm, as text files.  

·          Plot the Absorption (TM), and Efficiency (TM) of reflected order # -2, # -1, and # 0 functions vs. the Wavelength parameter.  

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 Finite 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 Spherical radio button in the Type of grating shape group in the upper right corner.  

·           Enter “50” 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 “50” and use the default unit in the Groove height field in the group.  

·           Enter “200” and use the default unit in the Meridional radius field.  

·           Enter “3” in the Meridional field in the Number of plane sections group.  

·           Enter “3” in the Sagittal field in the group.  

·           Press the Frequency button in the unnamed group.  

·           Enter “3600” in the Frequency field.  

·           Choose the Beam and mounting geometry item in the upper left corner.  

·           Enter “140” 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 Spherical button in the Wave front type group.  

·           Enter “97” and use the default unit in the Wave radius field in the group (to change a unit, right-click the unit and, then, check the mm unit on the context menu).  

·           Press the Classical (in-plaine) button in the Type of diffraction group.  

·           Press the TM (S) button in the Type of polarization group.  

·           Press the Littrow button in the Optical mount configuration group.  

·           Enter “-1” in the Littrow order number field in the group.  

·           Enter “0” in the Deviation angle field.  

·           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 Wavelength item in the list of parameters in the Parameters available for scanning item on the right.  

·           Click the “<” button.  

·           Use the default unit (to change a unit, choose the nm item in the Measurement unit combo-box on the right).  

·           Choose the Scan range 1 item in the Scanning parameters tree in the middle.  

·           Enter “90” in the Scan range start value field on the right.  

·           Enter “5” in the Scan range step value field.  

·           Enter “190” 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 “9” 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).  

·           Check the Classical ruled profile changing check box.  

·           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.  

·           Choose the Layer 1 item in the tree on the left.  

·           Click the Clone selected item button on the Main toolbar, or choose the Edit/Layers & borders/Clone item on the Main menu, or right-click the Layer 1 item and, then, click the Clone item on the context menu.  

·           Delete a layer item having a number greater than 2, if any exists in the tree,  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 2 and choose the Layer 1 item.  

·           Enter “2” and use the default unit in the Vertical shift between borders field in the Geometry of layer group in the middle (to change a unit, right-click the unit and, then, check the nm unit on the context menu).  

·           Enter “0” in the Rms roughness field in the group on the right.  

·           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 “Al2O3_Palik_handbook.ri” file in the …/PCGrate* 6.1/RI directory using the Open dialog window.  

·           Click the Open button.  

·           Press the Linear button in the Type of inter/extrapolation group.  

·           Choose the Layer 2 item in the tree on the left.  

·           Enter “0” in the Upper profile horizontal offset field in the Geometry of layer group.  

·           Enter “0” in the Rms roughness field in the group.  

·           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 “Al_Palik_handbook.ri” file in the …/PCGrate* 6.1/RI directory using the Open dialog window.  

·           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 and, then, click the OK button.  

·           Click the Start calculations button on the Main toolbar or choose the Calculations & Results/Start item on the Main menu.  

·           Type “Grating Example 1” as the 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 the 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 a graph containing the above listed functions (in accordance with the output specification) follows further.  

·           Run (open) the Main application.  

·           Press the Results tab in the lower left corner.  

·           Choose the name of the currently solved problem Grating Example 1 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 Text reports item in the tree.  

·           Choose the Input parameters in the Report type combo box in the right upper corner.  

·           Choose the 140.(0) nm item in the tree on the right.  

·           Press the Save button.  

·           Choose the Far field parameters in the Report type combo box.  

·           Press the Save button.  

·           Choose the Graphs 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 Graphs item and, then, click the Add item on the context menu.  

·           Click the Type of Y axis combo box in the Add graph dialog window and, then, choose the Real item.  

·           Click the Type of X axis combo box, choose the Length item.  

·           Type a name in the Graph name field (or use the default name instead) and, then, click the OK button.  

·           Choose the saved Graph name (the default name is Real vs. length (#)) item in the tree on the left (the sub-graph of the Graphs item).  

·           Click the Add function button on the right.  

·           Choose the Absorption (TM) item in the Plot of combo box and, then, click the OK button.  

·           Click the Add function button.  

·           Choose the Efficiency (TM) (for order -2, reflected) item (type “-2” in the field) and, then, click the OK button.  

·           Click the Add function button.  

·           Choose the Efficiency (TM) (for order -1, reflected) item (type “-1” in the field) and, then, click the OK button.  

·           Click the Add function button.  

·           Choose the Efficiency (TM) (for order 0, reflected) item and, then, click the OK button.  

·           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 saved Graph name item and, then, click the Save item on the context menu.  

·           Use buttons located to the left of the graph to change display modes of the graph.  

Your output text-type files “Grating Example 1 Input Parameters (Wavelength, Range 1, Step 11).txt” and “Grating Example 1 Far Field Parameters (Wavelength, Range 1, Step 11).txt” for the wavelength of 140 nm are stored in the …/PCGrate* 6.1/Results directory. The main output data file “Grating Example 1.pcg” that contains all the necessary information on the problem as well as the additional “Grating Example 1 Graphs.dat” and “Grating Example 1 Orders.dat” files are also stored by default in this 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 in Figure #32.  

 

Example 2: Blazed Transmission Grating for the NP Polarization in the Visible  

   

Input specification:  

General tab  

Accuracy optimization:  

Calculation mode:                                                    Resonance  

Type of low border conductivity:                              Finite  

Green functions and their normal derivatives:             Remainder term, accelerating convergence: On  

                                                                               Logarithmic singularity accounting: On  

                                                                               Profile curvature accounting: Off  

                                                                               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: 50 mm  

Number of plane sections:                                        Meridional: 1  

                                                                               Sagittal: 1  

Frequency:                                                               100 grooves/mm  

Beam and mounting geometry:  

Wavelength:                                                             500 nm  

Wave front type:                                                      Plane  

Type of diffraction:                                                   Classical (in-plane)  

Type of polarization:                                                 NP ((P + S)/2)  

Optical mount configuration:                                     Blazed  

Scanning options:  

Scanning parameter:                                                 Trapezoid left angle  

Scan range number:                                                  1  

                                                                               Scan range start value: 5 deg.  

                                                                               Scan range step value: 0.5 deg.  

                                                                               Scan range end value: 19.5 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/Triangular  

                                                                               Left angle: 18 deg.  

                                                                               Right angle: 40 deg.  

Accuracy parameters tab  

Type of integration step:                                           Equal S-interval  

Number of collocation points N:                               100  

Using half-segment shift:                                           On  

Layer 1:  

Upper profile horizontal offset:                                  0  

Refractive index/Electric permittivity origin:               From library: SiO2_Palik_handbook.ri  

Type of inter/extrapolation:                                       Linear  

Output specifications:  

·          Export the “Input parameters”, “Far field parameters”, and “Near field parameters” reports for a point of scan, 18 deg., to MS Excel™.  

·          Plot the Efficiency of transmitted order function vs. the Order number parameter for scanning steps: 6 deg., 9 deg., 12 deg., 15 deg., and 18 deg.  

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 Resonance button in the Calculation mode group and, if necessary, click the OK button in the dialog window.  

·           Press the Finite button in the Type of low border conductivity group.  

·           Check the Remainder term, accelerating derivatives check box.  

·           Check the Logarithmic singularity accounting check box.  

·           Uncheck 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.  

·           Enter “100” and use the default unit in the Grooved width field in the Grating shape parameters group in the upper right corner (to change a unit, right-click the unit and, then, check the mm unit on the context menu).  

·           Enter “50” 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 “100” in the Frequency 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 Triangular button.  

·           Enter “18” 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).  

·           Enter “40” and use the default unit in the Right angle field.  

·           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.  

·           Check the Using half-segment shift check box.  

·           Delete a border 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 Border # item and, then, clicking the Delete selected item command on the context menu.  

·           Repeat the previous step for all border items having numbers greater than 1.  

·           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.  

·           Enter “0” in the Upper profile horizontal offset field in the Geometry of layer group in the middle.  

·           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 “SiO2_Palik_handbook.ri” file in the …/PCGrate* 6.1/RI directory using the Open dialog window.  

·           Click the Open button.  

·           Press the Linear button in the Type of inter/extrapolation group.  

·           Press the General tab in the lower left corner.  

·           Choose the Beam and mounting geometry item in the upper left corner.  

·           Enter “500” 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 Classical (in-plaine) button in the Type of diffraction group.  

·           Press the NP ((P + S)/2) button in the Type of polarization group.  

·           Press the Blazed button in the Optical mount configuration 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 Trapezoid left angle item in the list of parameters in the Parameters available for scanning item on the right.  

·           Click the “<” button on the right.  

·           Use the default unit and choose the Border 1/Scan range 1 item in the Scanning parameters tree in the middle (to change a unit, choose the Border 1 item and, then, the deg item in the Measurement unit combo-box on the right).  

·           Enter “5” in the Scan range start value field on the right.  

·           Enter “0.5” in the Scan range step value field.  

·           Enter “19.5” in the Scan range end value field.  

·           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.  

·           Check the Save near field parameters check box in the PCGrate Solver Options dialog window and, then, click the OK button.  

·           Click the Start calculations button on the Main toolbar or choose the Calculations & Results/Start item on the Main menu.  

·           Type “Grating Example 2” as the 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 the 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 a graph 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 the name of the solved problem Grating Example 2 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 Text reports item in the tree.  

·           Choose the Input parameters in the Report type combo box in the right upper corner.  

·           Choose the 18.(0) deg item in the tree on the right.  

·           Press the Export to XLS button in the right upper corner, type a name in the field (or use the default name instead), and, then, click the Save button.  

·           Choose the Far field parameters in the Report type combo box.  

·           Press the Export to XLS button in the right upper corner, type a name in the field (or use the default name instead), and, then, click the Save button.  

·           Choose the Near field parameters in the Report type combo box.  

·           Press the Export to XLS button in the right upper corner, type a name in the field (or use the default name instead), and, then, click the Save button.  

·           Choose the Graphs 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 Graphs item and, then, click the Add item on the context menu.  

·           Click the Type of Y axis combo box in the Add graph dialog window and, then, choose the Real item.  

·           Click the Type of X axis combo box, choose the Discrete item.  

·           Type a name in the Graph name field (or use the default name instead) and, then, click the OK button.  

·           Choose the saved Graph name (the default name is Real vs. discrete (#)) item in the tree on the left (the sub-graph of the Graphs item).  

·           Click the Add function button on the right.  

·           Choose the Efficiency vs. T. order number item in the Plot of combo box in the Add function to graph dialog window.  

·           Choose the 6.(0) deg item in the Scanning steps list in the Add function to graph dialog window and, then, click the OK button.  

·           Click the Add function button.  

·           Choose the Efficiency vs. T. order number item in the Plot of combo box.  

·           Choose the 9.(0) deg item in the Scanning steps list and, then, click the OK button.  

·           Click the Add function button.  

·           Choose the Efficiency vs. T. order number item.  

·           Choose the 12.(0) deg item and, then, click the OK button.  

·           Click the Add function button.  

·           Choose the Efficiency vs. T. order number item.  

·           Choose the 15.(0) deg item and, then, click the OK button.  

·           Click the Add function button.  

·           Choose the Efficiency vs. T. order number item.  

·           Choose the 18.(0) deg item and, then, click the OK button.  

·           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 saved Graph name item and, then, click the Save item on the context menu.  

·           Use the buttons located to the left of a graph to change display modes of the graph.  

Your output Excel-type files “Grating Example 2 Input Parameters (Trapezoidal left angle, Item 1, Range 1, Step 27).xls”, “Grating Example 2 Far Field Parameters (Trapezoidal left angle, Item 1, Range 1, Step 27).xls”, and “Grating Example 2 Near Field Parameters (Trapezoidal left angle, Item 1, Range 1, Step 27).xls” for the triangular left angle of 18 deg. are stored in the …/PCGrate* 6.1/Exports directory. The main output data file “Grating Example 2.pcg” that contains all the necessary information on the problem as well as the additional “Grating Example 2 Graphs.dat” and “Grating Example 2 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 graph in Figure #34.  

 

Example 3: Non-conformal Au/Dielectric Grating for the NP Polarization in the Visible-IR  

   

Input specification:  

General tab  

Accuracy optimization:  

Calculation mode:                                                    Resonance  

Type of low border conductivity:                              Finite  

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:                                                     67 % of points N  

Grating shape:  

Type of grating shape:                                              Plane  

Grating shape parameters:                                        Grooved width: 100 mm  

                                                                               Groove height: 50 mm  

Number of plane sections:                                        Meridional: 1  

                                                                               Sagittal: 1  

Frequency:                                                               1000 grooves/mm  

Beam and mounting geometry:  

Wavelength:                                                             1000 nm  

Wave front type:                                                      Plane  

Type of diffraction:                                                   Classical (in-plane)  

Type of polarization:                                                 NP ((P + S)/2)  

Optical mount configuration:                                     Littrow  

                                                                               Littrow order number: -1  

                                                                               Deviation angle: 10 deg.  

Scanning options:  

Scanning parameter:                                                 Wavelength  

Scan range number:                                                  1  

                                                                               Scan range start value: 700 nm  

                                                                               Scan range step value: 1 nm  

                                                                               Scan range end value: 850 nm  

Scan range number:                                                  2  

                                                                               Scan range start value: 850 nm  

                                                                               Scan range step value: 10 nm  

                                                                               Scan range end value: 1150 nm  

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:                                                       Sine trapezoidal/Sinusoidal  

                                                                               Depth: 125 nm  

Accuracy parameters tab  

Type of integration step:                                           Equal X-interval  

Number of collocation points N:                               50  

Using half-segment shift:                                           Off  

Layer 1:  

Vertical shift between borders (layer thickness):        125 nm  

Rms roughness:                                                        0 nm  

Upper profile horizontal offset:                                  0  

Refractive index/Electric permittivity origin:               Custom  

Refractive index:                                                      Re: 2  

                                                                               Im: 0  

Border 2:  

Function of border profile tab  

Type of profiles:                                                       Sine trapezoidal/Sinusoidal  

                                                                               Depth: 175 nm  

Accuracy parameters tab  

Type of integration step:                                           Equal X-interval  

Number of collocation points N:                               50  

Using half-segment shift:                                           Off  

Layer 2:  

Upper profile horizontal offset:                                  0  

Refractive index/Electric permittivity origin:                From library: Au_Palik_handbook.ri  

Type of inter/extrapolation:                                       Cubic spline  

Output specifications:  

·          Use the program's caching in calculations.  

·          Save the “Input parameters”, “Far field parameters”, and “Near field parameters” reports for the whole scan range as text files.  

·          Plot the Efficiency of reflected order # -1, Efficiency (TE) of reflected order # -1, and Efficiency (TM) of reflected order # -1 functions vs. the Wavelength parameter and print the graph.  

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 Resonance button in the Calculation mode group and, if necessary, click the OK button in the dialog window.  

·           Press the Finite 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 “67” in the Number of terms, % of points N field.  

·           Choose the Grating shape item in the upper left corner.  

·           Enter “100” and use the default unit in the Grooved width field in the Grating shape parameters group in the upper right corner (to change a unit, right-click the unit and, then, check the mm unit on the context menu).  

·           Enter “50” 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 “1000” in the Frequency field.  

·           Choose the Beam and mounting geometry item in the upper left corner.  

·           Enter “1000” 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 Classical (in-plaine) button in the Type of diffraction group.  

·           Press the NP ((P + S)/2) button in the Type of polarization group.  

·           Press the Littrow button in the Optical mount configuration group.  

·           Enter “-1” in the Littrow order number field.  

·           Enter “10” and use the default unit in the Deviation angle field (to change a unit, right-click the unit and, then, check the deg unit on the context menu).  

·           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 Wavelength item in the list of parameters in the Parameters available for scanning item on the right.  

·           Click the “<” button.  

·           Click the Add button on the right  

·           Use the default unit (to change a unit, choose the nm item in the Measurement unit combo-box on the right).  

·           Choose the Scan range 1 item in the Scanning parameters tree in the middle.  

·           Enter “700” in the Scan range start value field in the upper right corner.  

·           Enter “1” in the Scan range step value field.  

·           Enter “850” in the Scan range end value field.  

·           Choose the Scan range 2 item in the Scanning parameters tree.  

·           Enter “1150” in the Scan range end value field.  

·           Enter “10” in the Scan range step value field.  

·           Enter “850” in the Scan range start 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 Sine trapezoidal button.  

·           Press the S