This filter simulates the photopic response of the human eye to relatively bright light. In the plot below, the circles indicate the design targets -- the desired transmission of the filter.
! T7 Q) L m* s! Y9 f0 @7 w. S
4 d. S6 H* r7 E) |; U This design is for normal incidence on a BK7 (ordinary) glass substrate. Two materials are used: SiO2 and TiO2. Starting with a thin, one-layer design, TFCalc's needle/tunneling method produced a sequence of 11 designs of increasing complexity. The design (whose performance is shown above) consists of 32 layers. It matches the entire photopic response curve to within 1%. Phil Baumeister notes that the design can be improved (or simplified) by using a glass whose transmission cuts off near 700 nm.
7 N" a6 d+ z! d* x, l2 d+ S0 `Here is the design, with the first layer closest to the substrate and thickness given in nm: : G2 ~. h1 `, Q' ?
SIO2 119.323 Y% ~- W v" `* m/ G, t0 @7 a
TIO2 10.09( R- ^. o5 \ p& m9 W# d. I
SIO2 32.61
' x9 V1 H8 f% w! S: v9 A TIO2 79.19
% F7 Q+ ^3 T: u8 b' Y SIO2 19.859 Y; q/ v+ q, O
TIO2 9.738 B: g+ X8 V' ?$ p) _
SIO2 118.20
: m3 s* V# o. D TIO2 87.90
/ ?7 R! F1 R4 C% m SIO2 128.88, c; F, q/ F9 P3 j4 a2 P1 O/ L! y" |- e
TIO2 82.48
2 d, T& i8 G [3 x SIO2 121.93 q4 i2 o; w9 F8 M* v# ?
TIO2 83.91& {0 U9 @0 P Q8 v* e4 i
SIO2 112.35
5 ?9 k8 u! r( Y3 M, g TIO2 89.57
7 [9 o5 v% B1 D2 r SIO2 92.26
8 c. j; m4 R8 |( { TIO2 66.01( W$ B& @5 ^- G4 j
SIO2 8.09, a+ B( [" _( J3 W
TIO2 21.457 p3 g7 g! E3 d
SIO2 103.04& [7 L; w+ I8 k
TIO2 59.41
: @, P+ s- |% @; u. ? SIO2 32.45
7 p" [ ^1 S7 B5 _% P TIO2 15.36/ c0 Q; a. i6 A2 b$ Y
SIO2 98.82
- }1 u3 S3 p7 U5 _2 f TIO2 51.980 y) D8 k G) L2 X4 ?
SIO2 77.54. u4 [0 T; x4 j2 q% ]5 |$ O
TIO2 28.261 r0 @! l5 M* h3 y0 y% y& ]* E
SIO2 68.84
& R3 r; p3 C( T8 c" j# | TIO2 49.47% [% Q. U, M9 H" z
SIO2 84.44* q7 t. b5 g. b; w
TIO2 43.02
* s3 k$ X1 n9 R+ _# K& C( d; L SIO2 53.15
' R, E1 o3 j$ l8 J8 _0 o1 H TIO2 39.34 |