[size=+3]Wide Infrared Bandpass Filter 7 a% T$ v+ _3 i* @4 s3 t% v1 C
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This coating is for light at normal incidence on a germanium substrate (index 4). The requirements are:8 E7 n7 [% P0 H$ O5 W, F. j; C/ E
A. Transmittance 99% for wavelengths 3300-5000 nm
# D8 M, e# k, |C. Transmittance Second, starting with a single thin layer, the needle/tunneling method was used to create a 17-layer short-wave pass filter using requirements B and C. The performance is shown below. / m0 E) A5 _6 g. k" G- r( h

9 B5 W+ t4 d3 ~, k) c( p) ?% o Third, experience shows that it is best to place the short-wave pass filter closest to the substrate and then to append the long-wave pass filter. (The needle/tunneling method "discovers" this fact when the brute-force approach is used.) Before optimizing, the performance is:
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4 R& G- d& J* f7 l After optimizing this design, the final performance is:
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% q$ Q9 E- ^3 F Here are the designs, with the first layer closest to the substrate and thickness given in nm. With a little more work, it may be possible to eliminated some thin layers.
" }9 O, e' w. _# w' p Short Long Bandpass6 O* m. z3 {/ Q9 J+ n6 v
ZnS 83.39 97.336 [+ F) C" F- ?* K" Q
Ge 48.25 48.60
! i4 L8 c2 j! Q9 i# { ZnS 756.31 761.47" y" Y" s0 U H1 U% Z
Ge 403.51 412.85* w9 T9 l+ T) o3 X% T( Z4 T
ZnS 710.33 720.06
( w8 @% |* u9 E Ge 377.93 382.28$ X& s5 }9 P; U9 Y8 N
ZnS 696.05 705.03& A8 T! ~$ p! t( N
Ge 370.17 370.421 O1 a2 r; }8 w' q _ N6 r
ZnS 696.91 709.26, z: a8 V* W; i! W
Ge 365.05 358.23
7 O5 F( x4 o7 u; p! i0 P% t ZnS 705.00 718.527 z/ @# L& T. a9 V
Ge 361.44 353.08
2 W6 H# ?! {6 s; K2 w [ ZnS 719.03 724.86+ h! F0 Q7 f# \. k6 p
Ge 360.53 360.01' t, X0 \+ k8 I& P. X7 g- W+ S
ZnS 751.56 710.47
( m1 Z( R4 V' z: E2 s ?2 |, T4 ~ Ge 328.61 398.52
! P4 U* ]# e. _) i5 J* s3 E ZnS 369.01 158.71 564.95
- L' T8 d+ L! V; z) F Ge 124.38 40.79) X& r0 K- t. S- Z; n% V& x
ZnS 260.14 224.72; l5 K8 B6 B( H& Y C: H) s" ^/ b
Ge 78.55 125.31
1 l4 y# C# L/ e$ d; E& w) l) O5 h ZnS 149.33 133.58; }5 V* w4 p: D* [ y
Ge 102.25 98.28
$ ]& s5 @ b* t/ B5 _9 E" ]# B; |' N ZnS 235.97 268.218 p: [" X5 W' q- u8 Y
Ge 145.53 138.25
' z/ |" a$ R! s) I6 W* _; _4 r! ` ZnS 279.07 238.01% ^) g( J3 [. C5 n
Ge 128.80 125.48
0 u: O" a8 e8 t' g ZnS 196.52 232.65* t% h) a, _" {
Ge 67.11 68.54- b+ h& U, h+ A3 e# M U
ZnS 159.26 168.55
4 q- x, f8 ~# F: @% S& @6 E Ge 132.16 150.14; v& o8 [3 n& j0 I4 U. G
ZnS 271.50 254.28- l4 @/ k1 Q' n' f5 ^; z
Ge 144.32 125.25& O; w! L3 A K g! z8 o. A0 K
ZnS 281.93 307.19
, O0 U* h2 F, `, c Ge 149.33 165.16( L" k& o' O4 Z6 g
ZnS 278.65 256.22
1 k' _5 \# Y! @ Ge 140.79 133.046 S1 D3 \- G# l, p9 M
ZnS 271.93 289.609 o' |( X# u* u! T; q
Ge 147.16 147.63& _: f+ m% W9 G- i0 a4 g
ZnS 276.89 266.047 _" a9 i4 F: N/ J4 } D k/ h
Ge 138.39 134.346 s8 F" b- ?* L' a. h s$ q
ZnS 271.52 265.601 ]4 Y2 I& J- o2 P2 Y
Ge 152.12 156.86; E# m Y2 `# ~4 L# ]
ZnS 291.92 294.15
, s7 m' O7 N7 {/ E0 g Ge 135.69 123.17
, |: P }0 ?- c ZnS 249.93 250.12
A# l6 p2 S0 e9 d Ge 166.98 178.96
" V. S* V9 n- O) `/ M, W! S+ W ZnS 553.73 528.64 |