diffraction gratings and does - Breault Research Organization, Inc.

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DIFFRACTION GRATINGS AND DOESSimulating Diffractive Optical Elements in ASAPWe can also simulate the same diffraction grating with the second form of theMULTIPLE command. Recall that in this second form you specify a distancebetween the original function or surface and the first replica. ASAP automaticallycomputes the f’ value from,Equation 30(EQ 30)In our case, the gradient of the function f(x,y,z), obtained from the phase function,specifies the direction in which parallel replications of the original surface aregenerated. We know that the grating lines are perpendicular to the y axis, so we canuse a plane whose normal is collinear with this axis to denote the gradient off(x,y,z). The MULTIPLE terms then include the grating spacing, which is just thedistance between the original function or surface and the first replica, and a pointon the original function. Our plane, whose normal is collinear with the y axis, isreplicated to form a series of parallel planes whose spacing is the grating linespacing.The second form of the MULTIPLE syntax illustrates the ASAP syntax for this case.See Example 2.50 ASAP Technical Guide
DIFFRACTION GRATINGS AND DOESSimulating Diffractive Optical Elements in ASAP. . . . .!!ASAP EXAMPLE OF A PHASE DIFFRACTION GRATING!!USING THE SECOND FORM OF THE MULTIPLE COMMANDSYSTEM NEWRESET$DATIM OFF OFFCOATING PROPERTIES0.4 0.6 'DOE'SURFACEPLANE Y 0 grating line generating surfaceMULTIPLE 1, grating spacing 0.1, point 0 0 0PLANE Z 0 RECT 1 grating base surfaceOBJECT 'LINEAR_GRATING'INTERFACE COATING DOE AIR AIR DIFFRACT 0.2 -1st order 0.25, 0th 0.5, 1st0.25SURFACEPLANE Z 10 RECT 1 detector planeOBJECT 'DETECTOR'ROTATE X ASIN[.25] 0 0BEAMS INCOHERENT GEOMETRICWAVELENGTH 0.025GRID ELLIPTIC Z -1 -4@1 1 11SOURCE DIRECTION 0 0 1WINDOW Y ZWINDOW 1.4TITLE 'GRATING W/-1,0,1st ORDERS USING 2nd FORM OF MULTIPLE'MISSED 10PLOT FACETS 3 3 OVERLAYASAP Technical Guide 51
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diffraction gratings and does - Breault Research Organization, Inc.

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