Table I
Layer Structure of the Laser Mirror Based on Quarterwave Stack (a) Modified by Shifting Admittance at Interfaces and (b) Modified by the Simplex Method for Optimization
(a) |
---|
|
---|
| | | Optical Thickness (λ) |
---|
Layer | N | Initial | A | B | C1 | C2 |
---|
Substrate | Ns | ****** | ****** | ****** | ****** | ****** |
1 | 1.52 | 0.2500 | 0.2500 | 0.2500 | 0.2500 | 0.2500 |
2 | 2.9 | 0.2500 | 0.2500 | 0.2500 | 0.2500 | 0.2500 |
3 | 1.52 | 0.2500 | 0.2500 | 0.2500 | 0.2500 | 0.2500 |
4 | 2.9 | 0.2500 | 0.2500 | 0.2500 | 0.2500 | 0.2500 |
5 | 1.52 | 0.2500 | 0.2500 | 0.2500 | 0.2500 | 0.2500 |
6 | 2.9 | 0.2500 | 0.2500 | 0.2500 | 0.2500 | 0.2500 |
7 | 1.52 | 0.2500 | 0.2500 | 0.2500 | 0.2500 | 0.2500 |
8 | 2.9 | 0.2500 | 0.2500 | 0.2500 | 0.2500 | 0.2500 |
9 | 1.52 | 0.2500 | 0.4000 | 0.0990 | 0.4000 | 0.0990 |
10 | 2.9 | 0.2500 | 0.1505 | 0.3505 | 0.1505 | 0.3505 |
11 | 1.52 | 0.2500 | 0.4260 | 0.0730 | 0.0730 | 0.4260 |
12 | 2.9 | 0.2500 | 0.1215 | 0.3797 | 0.3798 | 0.1215 |
13 | 1.52 | 0.2500 | 0.4270 | 0.0730 | 0.0730 | 0.4260 |
14 | 2.9 | 0.2500 | 0.1203 | 0.3798 | 0.3797 | 0.1215 |
Air | 1.0 | ****** | ****** | ****** | ****** | ****** |
(b) |
---|
|
---|
| | | Optical Thickness (λ) |
---|
Layer | N | Initial | A | B | C1 | C1 |
---|
Substrate | Ns | ****** | ****** | ****** | ****** | ****** |
1 | 1.52 | 0.2500 | 0.2500 | 0.2500 | 0.2500 | 0.2500 |
2 | 2.9 | 0.2500 | 0.2500 | 0.2500 | 0.2500 | 0.2500 |
3 | 1.52 | 0.2500 | 0.2500 | 0.2500 | 0.2500 | 0.2500 |
4 | 2.9 | 0.2500 | 0.2500 | 0.2500 | 0.2500 | 0.2500 |
5 | 1.52 | 0.2500 | 0.2500 | 0.2500 | 0.2500 | 0.2500 |
6 | 2.9 | 0.2500 | 0.2500 | 0.2500 | 0.2500 | 0.2500 |
7 | 1.52 | 0.2500 | 0.2500 | 0.2500 | 0.2500 | 0.2500 |
8 | 2.9 | 0.2500 | 0.2500 | 0.2500 | 0.2500 | 0.2500 |
9 | 1.52 | 0.2500 | 0.4209 | 0.0779 | 0.4224 | 0.0807 |
10 | 2.9 | 0.2500 | 0.1297 | 0.3736 | 0.1360 | 0.3594 |
11 | 1.52 | 0.2500 | 0.4331 | 0.0660 | 0.0602 | 0.4402 |
12 | 2.9 | 0. 2500 | 0.1134 | 0.3987 | 0.3887 | 0.1102 |
13 | 1.52 | 0.2500 | 0.4342 | 0.0590 | 0.0650 | 0.4356 |
14 | 2.9 | 0. 2500 | 0.1092 | 0.3913 | 0.3907 | 0.1093 |
Air | 1.0 | ****** | ****** | ****** | ****** | ****** |
Table II
Reflectance R, the Maximum Electric Field Amplitude at Interfaces Emax, the Peak Value in the Layer Ep, and
of Laser Mirrors Listed In Table I.
METHOD | R | Emax | Ep | nEp2 |
---|
QW. STACK | 0.9999 | 18.9367 | 18.9367 | 1039.9383 |
ADMITTANCE FIT | | | | |
A | 0.9987 | 12.9833 | 29.2596 | 1301.3123 |
B | 0.9986 | 12.9803 | 18.8953 | 1035.3941 |
C1 | 0.9987 | 12.9834 | 18.8956 | 1035.4280 |
C2 | 0.9987 | 13.0887 | 29.1358 | 1290.3209 |
SIMPLEX | | | | |
A | 0.9982 | 11.9949 | 30.3574 | 1400.7868 |
B | 0.9981 | 11.9449 | 18.9278 | 1038.9569 |
C1 | 0.9981 | 11.9989 | 20.2716 | 1191.7175 |
C2 | 0.9982 | 12.0027 | 30.3377 | 1398.9741 |
Table III
Three-Layer Metal–Dielectric Laser Mirrors: (a) Layer Structure; the Numbers in the First Row Indicate Layer Number; (b) Reflectance and Electric Field Amplitude
(a) |
---|
|
---|
| Substrate | 1 | 2 | 3 | Air |
---|
N | 3.84–i0.002 | 8.12–i56.4 | 1.52 | 2.9 | 1.0 |
Thickness | | | | | |
ADMITTANCE FIT | | | | | |
A | ***** | 35 nm | 0.4410 | 0.0945 | *** |
B | ***** | 35 nm | 0.0480 | 0.4073 | *** |
SIMPLEX | | | | | |
A | ****** | 35 mm | 0.3974 | 0.1482 | *** |
B | ****** | 35 mm | 0.0929 | 0.3516 | *** |
(b) |
---|
|
---|
METHOD | R | Am | Em | Emax | Ep | nEp2 |
---|
Sub/M/Air | 0.9813 | 0.0166 | 1.1351 | ******* | ******* | ********* |
ADMITTANCE FIT | | | | | | |
A | 0.9855 | 0.0128 | 0.9988 | 10.5566 | 31.6352 | 1521.1975 |
B | 0.9854 | 0.0130 | 1.0037 | 10.3786 | 18.8652 | 1032.0947 |
SIMPLEX | | | | | | |
A | 0.9900 | 0.0089 | 0.8303 | 15.1581 | 26.2991 | 1051.2962 |
B | 0.9900 | 0.0089 | 0.8300 | 15.1642 | 18.8888 | 1034.6822 |
Am represents absorption; E
m represents maximum amplitude in metal; and R, Emax, and Ep have the same meaning as in
Table II.
Table IV
Layer Structure of Metal–Dielectric Laser Mirrors by (a) Admittance Fitting and (b) Simplex Method
(a) |
---|
|
---|
| | Optical Thickness (λ) |
---|
Layer | N | 3 | 5 | 7 | 9 |
---|
Substrate | Ns | ****** | ****** | ****** | ****** |
1 | Nm | 35 nm | 35 nm | 35 nm | 35 nm |
2 | 1.52 | 0.0480 | 0.2451 | 0.2451 | 0.2451 |
3 | 2.9 | 0.4073 | 0.2500 | 0.2500 | 0.2500 |
4 | 1.52 | | 0.1240 | 0.0970 | 0.0920 |
5 | 2.9 | | 0.3277 | 0.3525 | 0.3577 |
6 | 1.52 | | | 0.0860 | 0.0700 |
7 | 2.9 | | | 0.3643 | 0.3836 |
8 | 1.52 | | | | 0.0710 |
9 | 2.9 | | | | 0.3823 |
Air | 1.0 | ****** | ****** | ****** | ****** |
(b) |
---|
|
---|
| | Optical Thickness (λ) |
---|
Layer | N | 3 | 5 | 7 | 9 |
---|
Substrate | Ns | ****** | ****** | ****** | ****** |
1 | Nm | 35 nm | 35 nm | 35 nm | 35 nm |
2 | 1.52 | 0.0929 | 0.0815 | 0.1043 | 0.2451 |
3 | 2.9 | 0.3516 | 0.3638 | 0.3396 | 0.2500 |
4 | 1.52 | | 0.0648 | 0.0853 | 0.0792 |
5 | 2.9 | | 0.3905 | 0.3636 | 0.3716 |
6 | 1.52 | | | 0.0657 | 0.0687 |
7 | 2.9 | | | 0.3907 | 0.3859 |
8 | 1.52 | | | | 0.0644 |
9 | 2.9 | | | | 0.3908 |
Air | 1.0 | ****** | ****** | ****** | ****** |
Table V
Reflectance, Absorption, and Electric Field Amplitude of Three-, Five-, Seven-, and Nine-Layer Assembly Laser Mirrors
METHOD | R | Am | Em | Emax | E | nEp2 |
---|
1 | 0.9813 | 0.0166 | 1.1351 | ******* | ******* | ********* |
ADMITTANCE FIT | | | | | | |
3 | 0.9854 | 0.0130 | 1.0037 | 10.3786 | 18.8652 | 1032.0947 |
5 | 0.9978 | 0.0020 | 0.3935 | 16.7177 | 18.9246 | 1038.6074 |
7 | 0.9984 | 0.0015 | 0.3356 | 14.2553 | 18.9227 | 1038.3989 |
9 | 0.9987 | 0.0012 | 0.3008 | 12.7616 | 18.9087 | 1036.8636 |
SIMPLEX | | | | | | |
3 | 0.9900 | 0.0089 | 0.8300 | 15.1642 | 18.8888 | 1034.6822 |
5 | 0.9922 | 0.0069 | 0.7331 | 12.0063 | 18.9002 | 1035.9309 |
7 | 0.9961 | 0.0034 | 0.5153 | 11.9968 | 18.9189 | 1037.9819 |
9 | 0.9984 | 0.0014 | 0.3291 | 11.9951 | 18.9296 | 1039.1584 |