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Example
3. User-defined Laser Beam Profile
In
this example the quadrilayer stack is illuminated by a user-defined laser
beam profile incident from the surface side.
Calculated
profiles of temperature versus z are shown in Figure�(a), and isotherms
in the XY-plane at z�=�108�nm appear in Fig.�(b).
Shown
below is the file TR03.SYS, which contains the structural parameters of
the multilayer stack, the laser beam profile, and the chosen mesh parameters.
!@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@#
! @@ TEMPROFILE 5.0 File TR03.SYS @@ #
! @@ Date: 01/01/1999 Time: 13:18 @@ #
! @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ #
! #
! Notes: Quadrilayer stack used in Test Run 3. The incident beam profile #
! is user-defined. #
! #
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!#
$ #
Top/Bottom incidence: T #
$ #
Substrate's index (n,k): 1.4600000 .00000000 #
Thermal constants (C,K): 1.7000000 2.00000000E-03 #
$ #
Number of layers: 4 #
$ #
Layer 01: Thickness,n,k: 32.000000 1.2000000 6.9000000 #
C,K: 2.7000000 2.4000000 #
$ #
Layer 02: Thickness,n,k: 72.000000 1.5000000 .00000000 #
C,K: 2.0000000 1.50000000E-02 #
$ #
Layer 03: Thickness,n,k: 12.000000 3.1000000 3.5000000 #
C,K: 2.6000000 .16000000 #
$ #
Layer 04: Thickness,n,k: 100.00000 1.5000000 .00000000 #
C,K: 2.0000000 1.50000000E-02 #
$ #
Heat loss factor (GAMMA): .00000000 #
$ #
Incident Beam Profile: User-defined #
LAMBDA,RS: 632.80000 1000.0000 #
Point on profile (r,I): .00000000 1.0000000 #
Point on profile (r,I): 50.000000 .97260000 #
Point on profile (r,I): 100.00000 .89480000 #
Point on profile (r,I): 150.00000 .77880000 #
Point on profile (r,I): 200.00000 .64120000 #
Point on profile (r,I): 250.00000 .49940000 #
Point on profile (r,I): 300.00000 .36790000 #
Point on profile (r,I): 350.00000 .25640000 #
Point on profile (r,I): 400.00000 .16900000 #
Point on profile (r,I): 450.00000 .10540000 #
Point on profile (r,I): 500.00000 6.22000000E-02 #
Point on profile (r,I): 550.00000 3.47000000E-02 #
Point on profile (r,I): 600.00000 1.83000000E-02 #
Point on profile (r,I): 650.00000 9.10000000E-03 #
Point on profile (r,I): 700.00000 4.30000000E-03 #
Point on profile (r,I): 750.00000 1.90000000E-03 #
Point on profile (r,I): 800.00000 8.00000000E-04 #
Point on profile (r,I): 850.00000 3.00000000E-04 #
Point on profile (r,I): 900.00000 1.00000000E-04 #
Point on profile (r,I): 1000.0000 .00000000 #
Impulse: POWER,TAU,NSTEP: 3.0000000 1.0000000 5 #
$ #
Mesh: RMAX,DLTAR: 2000.0000 25.000000 #
ZMAX,DLTAZ: 400.00000 4.0000000 #
TMAX: 100.00000 #
!@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@#
|
Shown
below is the file GSSN.RIP, which contains the radial intensity profile
(RIP) of the user-defined incident beam in Example 3. The user can modify
the contents of this file with a text editor, then import it to the program
environment during subsequent runs of TEMPROFILE.
!@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@#
! @@ TEMPROFILE 5.0 File GSSN.RIP @@ #
! @@ Date: 12/26/1998 Time: 12:04 @@ #
! @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ #
! #
! Notes: Gaussian intensity distribution with 1/e radius R0=300nm. #
! #
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!#
Point on profile (r,I): .00000000 1.0000000 #
Point on profile (r,I): 50.000000 0.9726000 #
Point on profile (r,I): 100.00000 0.8948000 #
Point on profile (r,I): 150.00000 0.7788000 #
Point on profile (r,I): 200.00000 0.6412000 #
Point on profile (r,I): 250.00000 0.4994000 #
Point on profile (r,I): 300.00000 0.3679000 #
Point on profile (r,I): 350.00000 0.2564000 #
Point on profile (r,I): 400.00000 0.1690000 #
Point on profile (r,I): 450.00000 0.1054000 #
Point on profile (r,I): 500.00000 0.0622000 #
Point on profile (r,I): 550.00000 0.0347000 #
Point on profile (r,I): 600.00000 0.0183000 #
Point on profile (r,I): 650.00000 0.0091000 #
Point on profile (r,I): 700.00000 0.0043000 #
Point on profile (r,I): 750.00000 0.0019000 #
Point on profile (r,I): 800.00000 0.0008000 #
Point on profile (r,I): 850.00000 0.0003000 #
Point on profile (r,I): 900.00000 0.0001000 #
Point on profile (r,I): 1000.0000 0.0000000 #
!@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@#
|
The
file TR03.PLS shown below was created in Example 3, and contains the laser
pulse shape. Pairs of points (t,�P) at the corners of the piecewise linear
function P(t), initially entered from the keyboard, are saved in this
file.
!@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@#
! @@ TEMPROFILE 5.0 File TR01.PLS @@ #
! @@ Date: 12/31/1998 Time: 18:34 @@ #
! @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ #
! #
! Notes: Trapezoidal pulse shape of the laser beam. The rise and fall #
! times are 10 nsec each, and the total pulse width is 60 nsec. #
! #
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!#
Point on pulse (t,P): 10.000000 2.0000000 #
Point on pulse (t,P): 50.000000 2.0000000 #
Point on pulse (t,P): 60.000000 .00000000 #
Point on pulse (t,P): 100.00000 .00000000 #
!@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@#
|
(a)
Profiles of temperature versus z at (x,�y) = (0,�0) computed at several
instants of time.
(b)
Isotherms in the XY-plane at z�=�108�nm, time�=�50�ns. The hottest spot
at the center has temperature T�=�237.15�C (above ambient). The plotted
isotherms, starting in the middle and moving outward, correspond to T�=�237�C,
230�C, 220�C, 210�C, 200�C, 180�C, 160�C, 140�C, 120�C, and 100�C.
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