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Woodhead Publishing Series in Electronic
3 L; }; R4 ?7 A/ \2 o. @/ zand Optical Materials4 ~/ X* K0 K7 [4 C# @# u- L
Optical Thin Films and
- L+ L/ v$ G0 y) rCoatings! V; x; u% |& m; @9 G
From Materials to Applications
1 m {3 p5 v# R. u. e; v( N! i, }Second Edition
, S7 p1 J5 y& f3 P4 P q" [& VEdited by
( p$ x A! K3 m$ gAngela Piegari- p4 ?( m0 l9 l, ^
Contents
, b8 K7 \- }( Q2 Q* k- B) S9 c0 dContributors ............................................................................................................xix
. K3 j. T" i' c: Z! MPreface to the First Edition ................................................................................. xxiii
+ ?* h/ m: B- l# h3 i$ S8 KPreface ................................................................................................................ xxvii
: y0 f) X$ ^" O& @3 C. rPART I DESIGN AND MANUFACTURING OF OPTICAL
* C, @1 c4 ?8 B* ZTHIN FILMS AND COATINGS
6 x) m- }# a2 M1 p) ~/ K. M+ mCHAPTER 1 Recent developments in deposition techniques' u$ u# w! y' L- u
for optical thin films and coatings...............................3
c( Y$ d+ C6 y1 w) VH. Angus Macleod" e+ Z$ U& D: |+ { f
1.1 Introduction.....................................................................................3" g9 F3 v" a, {: z% e- F
1.2 Early Processes for the Deposition of Optical Coatings ...............4
& E, f+ k5 ?* ?6 K# E1 I' |: r1.3 The Energetic Processes .................................................................6
9 B7 H% W; a7 o, O1.3.1 Ion-Assisted Deposition........................................................6
- q! u- b9 u) p# B# A1.3.2 Ion Plating.............................................................................8
+ t1 h( B: H7 R1.3.3 Sputtering............................................................................10# |" M) Y9 S6 W2 [2 X& `1 C
1.4 Cathodic Arc Evaporation ............................................................15
4 d2 A% C3 j* R8 I5 Y6 L1.5 Pulsed Laser Deposition ...............................................................15
. p$ e: T w4 P, U3 r' L$ t* u1.6 Chemical Vapor Deposition .........................................................16
* U ~7 y$ {1 ~+ L- e1.7 Atomic Layer Deposition .............................................................17( }* ]/ A' l/ Q, G
1.8 Sol-Gel Processes .........................................................................18
# r5 i5 W z/ Z, n1 }- R2 k1.9 Etching ..........................................................................................185 v1 V4 J# K; P- P& A
1.10 Other Techniques..........................................................................19
& a0 \5 n- C" o+ X9 c5 d4 H1.11 Conclusion ....................................................................................19- ]5 E' t9 y, t$ s& [* p ^0 Y
References.....................................................................................20
+ x. A! i; l( i. [ b' S+ t6 CCHAPTER 2 Design of complex optical coatings...........................25. x4 Q; K1 c9 G
Pierre G. Verly, Daniel Poitras
. o! U4 H' g- i" H4 h2.1 Introduction...................................................................................25
- l# ~' t: h1 i6 O2.2 Modern Numerical Thin Film Synthesis Techniques ..................27
j- ?, i- w( a; s2.2.1 Fourier Transform Method.................................................27- g+ S. m5 g q6 U0 R6 R$ w `+ s
2.2.2 Inhomogeneous Refinement ...............................................30
9 ?5 ~) D s3 r$ F- F4 E# E6 q2.2.3 Needle Method ...................................................................32# j) e( o( V' w7 g3 X
2.2.4 Global Optimization ...........................................................34
% L* t. m3 M( F* Z7 x' w2.3 Manufacturability Issues...............................................................37
. E4 r2 c1 D+ |9 W9 [2.4 Hybrid Design...............................................................................40
$ i$ T1 F/ k6 v$ D3 ]2.4.1 Waveguide Facet Coatings.................................................41
0 r3 ~- O! s8 f" N( r/ x9 u2.4.2 Structured Coatings ............................................................449 g) y' e7 y- S! s+ \- e9 V
2.4.3 Solar Cells...........................................................................48
# i# D4 F! B% ~' a! [8 c2.5 Conclusion ....................................................................................524 C5 p3 H/ `! @# A
References.....................................................................................53
3 V! q6 D4 {0 |" F0 \2 OFurther Reading ............................................................................64
6 Y7 ~9 U* Q" h n9 O0 Q8 D7 q* l, ^CHAPTER 3 Optical monitoring strategies for optical coating
" N* I8 O' Y2 ]8 E/ s8 Q/ J& R1 w; Y# mmanufacturing .............................................................65
; y+ t- g9 a1 j- g* s7 n# LAlexander V. Tikhonravov, Michael K. Trubetskov, Tatiana) Q; w+ d2 q. B/ U& o- F
V. Amotchkina; A+ d, H% A% l* g. d6 B$ R( T
3.1 Introduction...................................................................................653 _3 [$ E4 ~ e/ A
3.2 Classification of Optical Monitoring Strategies ..........................676 H/ Z3 X0 N/ x
3.3 Turning Point Optical Monitoring and Error Self-Compensation
# d9 U+ a& z8 f' h0 ]. {Effect.............................................................................................693 b, z% k! _; S+ W G8 B
3.4 Level Monitoring: Passive and Active Monochromatic
; ~6 j8 o/ }" ^Monitoring Strategies ...................................................................75+ y. B1 S4 |% D- E
3.5 Monitoring by Swing Values .......................................................85
/ {5 x+ M* U; s/ n5 ^3.6 Direct Broadband Optical Monitoring .........................................89
& B( t+ s2 Y& p1 {7 G: W9 q3.7 Indirect Optical Monitoring Strategies.........................................92; @) X3 |. A5 d0 A# P6 W
3.8 Conclusion ....................................................................................97
# O4 Y) N ^6 ^8 HReferences.....................................................................................99
! B* C/ H$ v8 k! }CHAPTER 4 Production strategies for high-precision optical
. G/ H$ ?" U7 t! Ycoatings .................................................................... 1034 N0 a5 a3 D$ m J0 f0 @! A$ F6 r. S
Henrik Ehlers, Detlev Ristau
. s, F) J$ }& E. h/ ^* X, u4.1 Introduction.................................................................................1037 ?4 B% j4 ~/ T0 L
4.2 Basic Concept of Deterministic Production...............................1057 O: z( i- W4 J' Z& N
4.3 Optical Broadband Monitoring ..................................................1076 R) S4 P! P- p p0 ]: C, S
4.4 Hybrid Thickness Monitoring Concepts ....................................112
# U6 o3 n: T" |6 I5 J9 E- D: T4.5 Virtual Deposition System .........................................................114, y4 ^+ ~: H5 X( ?
4.5.1 Deposition System............................................................115
: | K2 V( \) D8 L' M4.5.2 Online Measurement System............................................1162 H0 R2 K# o( p
4.5.3 Process-Tracing Algorithm...............................................116
$ G! Q% U% b, ]0 `3 r2 Q4.5.4 Application Example for a VDP Analysis .......................117! E' I3 ]3 N0 {7 @
4.6 Direct Online Correction Tools..................................................118) ~7 ?+ s. T2 X- P4 l
4.7 Design Stability in Production Processes...................................120
# V7 V, v( J7 G/ k! r J' A4.8 Deposition Control of Coating Systems with Continuous! D3 |3 a% l) Q% y
Refractive Index Variation .........................................................1258 h4 N1 k: F3 D' h; `
4.8.1 Production of Material Mixtures......................................126
% x: U5 H( Z, ?. `6 \7 g5 M4.8.2 Deposition Control of Rugate Filters ...............................132
, I. I' K3 P% P* j `% k4.9 Conclusion ..................................................................................135, Y* u5 E: S, v% @2 x7 }
References...................................................................................136& O8 F. h5 t( U
Further Reading ..........................................................................140" T5 ^: K( k( m! B
vi ContentsPART II UNCONVENTIONAL FEATURES OF OPTICAL THIN* H& r/ q1 J& Q) B2 E2 x+ a, w
FILMS AND COATINGS3 c# F5 {: c" _2 J9 t( D
CHAPTER 5 Complex materials with subwavelength inclusions# b1 g9 \% e. v& t0 u- i. _+ M" @ ^
for optical thin film applications ............................. 1432 y4 V# N) ^6 O) s7 S
Anna Sytchkova- k5 E* p# D3 C/ I* B
5.1 Introduction.................................................................................143/ ^0 A6 B K( W4 c9 h {' u! j% G% B* k8 t
5.2 Physics of Some Classes of Novel Materials with- I' s- i% Q7 V, D8 o. P
Subwavelength Inclusions ..........................................................145! i5 _- Z" |: i5 D$ t/ H
5.3 Ceramic Matrix With Embedded Nanostructures......................147
u2 v! w# J/ O' ~5.3.1 Materials With Quantum Dots .........................................148
1 e4 q }; ?9 _% k7 f5.3.2 Nanoclusters in Periodic Arrays (Metamaterials)............149
* N" d" K5 |/ f1 p, i- F; _. \( i5.3.3 Effect of Small Random Disorders and Imperfections+ v8 ~3 S1 H q+ U) K* F! T
in Metamaterials ...............................................................1546 D' h: F4 j8 w B; D8 t6 x# \8 f5 j
5.3.4 Composites of Random Elements ....................................154* c/ E( G' |8 o& E
5.3.5 Coatings Containing Thin and Ultrathin Metal Layers8 a0 H3 [3 O- k. z
and Coatings Containing Metasurfaces............................155
4 b5 I! ]( _7 t' l* l N. J7 P1 h5.4 Searching for Alternative Materials for Resonating
( C4 Y! K6 q" N, P7 }Inclusions ....................................................................................156. f9 H- I' V% d
5.4.1 Alloys and Intermetallics: Novel Metal Materials ..........157. E+ a! N- Q7 L, c6 l- A/ _
5.4.2 Semiconductors and Dielectrics .......................................1600 o' J& E+ @5 ]* _
5.5 Characterization of Novel Materials with Subwavelength1 F# f" ~# T( f: z0 Z" @2 E
Inclusions ....................................................................................162' v- i) X5 _: Z. F" j2 r5 i" J
5.5.1 Optical Characterization Techniques for Complex
3 |( h# N* v: W0 wMaterials ...........................................................................1639 j. a0 y$ u& O" Q) T/ s. I
5.5.2 Local Properties of Nanostructured Materials .................165
1 i& @; ?4 v9 B. {4 K5 O5.5.3 Effective Macroscopic Parameters...................................166! t1 T9 \5 y3 B5 F; K) o- y; x, Z# j2 A
5.5.4 Complex Materials and Ultrathin Metals in Multilayers.168; B7 Q9 V, v' @1 ^+ l/ [! z
5.6 Conclusions.................................................................................172
% h ~* e, T0 h3 n4 ~+ v% rReferences...................................................................................173
" W3 P- u2 @. s& _' QCHAPTER 6 Scattering properties of random structures! E1 ]& Z7 g8 w6 {
in thin films............................................................... 1870 J- y$ I. d( ~9 V6 r4 R# f
Gerard Berginc, Alexei A. Maradudin' [! F$ p T& a( Q
6.1 Introduction.................................................................................187' i* t: D; m, O8 g
6.2 Numerical Solution of Reduced Rayleigh Equations
! \! u4 ]2 d+ a# O% R2 Bfor Scattering of Light From Dielectric Films With 1D) L/ l* ~5 [2 d' q
Rough Surfaces...........................................................................189
; Q7 Z* p; {5 c. w6 {2 U1 ?6 V6.2.1 A Film With a 1D Randomly Rough Vacuum-Dielectric2 l y" K3 A4 Z3 S! A
Interface Deposited on the Planar Surface of a Perfect* {) V1 H' E, c) t2 T; d$ V- e; \6 }! x$ H
Conductor..........................................................................1906.2.2 A Film With a Planar Vacuum-Dielectric Interface
! f/ l7 W& T1 V3 ?# f7 I6 E/ p) `Deposited on a 1D Randomly Rough Perfectly
2 P$ F* V6 r3 @8 K" Z2 @& ?Conducting Surface ..........................................................196$ K( v2 K; ^* V. l: B
6.3 Reduced Rayleigh equations for the scattering of P- and
z) R, \) F8 d/ GS-Polarized Light From, and Its Transmission through, a Film, f) |( [, F: r4 b) y: p
With Two 1D Rough Surfaces ...................................................200+ F$ y+ W) c& `5 H* C4 N5 u$ W# c2 h
6.3.1 p-Polarization....................................................................2034 ~4 H; X8 c* Z5 h, y
6.3.2 s-Polarization ....................................................................2073 p3 G+ V0 _7 Z& Y( Q- v, m
6.3.3 Results...............................................................................209& M) C% ~1 f4 M$ a4 ~0 g7 }$ H+ w8 |
6.4 Numerical Solution of the Reduced Rayleigh Equation* {) x5 l( C4 F% r1 L3 F' ]6 S
for the Scattering of Light From a 2D Randomly Rough7 U. W- c6 c: r3 D' q# X
Penetrable Surface ......................................................................213# z! e9 L( W3 k
6.5 Scattering of Light From a Dielectric Film With a 2D Randomly
% {/ J# D2 z8 C( W: o6 HRough Surface Deposited on a Planar Metal Substrate.............216. F$ _2 y/ g; g6 q( r
6.5.1 Scattering of Light From a Dielectric Film With a 2D
5 o2 M( ~& @7 [* q% d1 ARandomly Rough Surface Deposited on a Planar Metal
7 X4 Y' V' Q+ F$ KSubstrate............................................................................218) j- b; Q3 z# @5 S" O
6.5.2 A Dielectric Film With a Planar Interface With a
0 z* G, M" X( w$ Q9 V6 aDielectric Superstrate and a 2D Randomly Rough
1 p+ c' M8 j; W. p* oInterface With a Dielectric Substrate...............................224* s+ a4 o6 j4 }! k% T2 j% _
6.6 Analytical Methods for the Scattering From a 3D Film With, s; m( g a7 S% }7 Q" |9 i( M
Randomly Rough Surfaces .........................................................229' R! y) h" y; o7 h$ W
6.6.1 Definition of the Scattering Matrix..................................230$ ^# e- X, g& Z2 _4 z C: y% t
6.6.2 The SSA and the SPM for a 2D Rough Surface .............233
9 Z% Y ]2 t& X# V0 G G$ s6.6.3 The SSA and the SPM for Slabs With Randomly
Y, Y; ?) e* T, ARough Boundaries ............................................................2405 R- I0 m4 U( j
6.6.4 Conclusions.......................................................................247
8 n- N: X7 w2 c" Y3 w' l/ R$ L5 r( G6.7 Theoretical Methods for the Scattering of Polarized Light1 C& f7 k# _5 C: I
From Randomly Rough Interfaces and Random Media............247, k8 t( q2 y) O- ^2 s
6.7.1 Specific Intensity and Cross Section................................2487 }2 O t" ^0 E$ v2 D# o
6.7.2 Specific Intensity and Bethe-Salpeter Equations.............253
/ D2 }+ A( h% z6 S/ P6.7.3 Effective Permittivity .......................................................255! {, l. ]4 d* E$ p3 \
6.7.4 Expression of the Intensity Operator P11 .........................256
6 d- b" }, a7 |, F% E6.7.5 Expression for the Incoherent Intensity and the Green
" k/ K) k+ X7 c" hTensors P11 .......................................................................259; e5 N& H7 T$ j$ I3 n
6.7.6 Coherent Backscattering...................................................265
# p6 x- P' N/ K6.7.7 Conclusion ........................................................................273
% z! q5 _" {' j. d4 m& U& P6.8 Applications ................................................................................273
$ l2 _- M6 o7 x$ m4 W0 p6.9 Conclusion ..................................................................................281
7 B9 u' ^1 z6 m' U: cAppendix.....................................................................................281
* X. f) n; i) xviii ContentsA.1 Definitions of the Scattering Matrices for a Single Rough# r) {0 l/ b {. W b
Surface ................................................................................281+ ?. D- v v$ p! n* Y) O& y
A.2 Mueller Matrix and Tensor ................................................282
) C9 r( k8 o5 C* @# R- o) c8 zAcknowledgments ......................................................................284
4 W# r% G2 }8 D5 A* cReferences...................................................................................284
7 s: p2 G2 p! Z5 e6 P, R2 \0 BFurther Reading ..........................................................................289
0 y5 |3 E7 L6 A) nCHAPTER 7 Optical properties of thin film materials at short
: y6 P: @' a3 y6 }wavelengths .............................................................. 291
9 C5 [" h' o5 A/ K- i1 `6 {Juan I. Larruquert- |4 [9 w, f) u) U/ |- b3 B7 |: G6 ^
7.1 Introduction.................................................................................291
# o; t0 M) P! ~9 S7.2 Material Behavior Over the Spectrum .......................................291, d7 }5 ^2 X: u0 ^6 T
7.3 Reflection and Transmission in Absorbent Materials ...............294
6 k, p- P" G* b) V5 i2 `8 }7.3.1 Roughness and Scattering ................................................296. r) ?. { ], U. }9 W- M# A: I
7.4 The Optical Constants of Materials at Short Wavelengths .......299
; x% U0 Y9 a4 e/ c# m7.4.1 Interaction Mechanisms Between Photons" X$ w5 _! s$ ~0 D7 y3 ~. S& c3 o% t8 _
and Matter.........................................................................299
( ?6 U+ @/ \2 d8 ?7.4.2 Transparency Cutoff of Dielectrics ..................................300/ q4 I) _ E& D8 J
7.4.3 Free Electron Metals ........................................................3019 U m: j9 e+ H- v+ u! Z3 x1 L' l
7.4.4 Tightly Bound Electrons: Atomic Scattering
7 a, J+ D' R4 z- L5 j$ YFactors...............................................................................303
1 ^. D6 U9 j2 d% B7.4.5 Absorption Edges..............................................................306
% B2 l, a) k ]. ?3 D q7.4.6 Optical Properties at Higher Energies..............................309
& O# e6 j: b5 P1 N% I& x6 v7.5 Link Between n and k: Kramers-Kronig Analysis.....................314
' K* [/ h4 N. q! ] ~6 `9 H. p3 p7.6 Experimental Determination of Optical Constants ....................315
f3 ^ N: n( d2 Y2 b7.7 Specifics of Optical Coatings at Short Wavelengths.................3188 U" W& \# v Q, L! |
7.7.1 Transmission Filters .........................................................3188 \4 J! |. e& p
7.7.2 High-Reflectance Coatings...............................................3210 K" j& Y1 [0 \4 ?" z2 o, u8 x
7.7.3 Linear Polarizers and Phase Retarders.............................332
5 Z% J, R; W5 x Y7.8 Conclusion ..................................................................................341
0 r5 A0 f$ n- A8 m1 h8 w2 E' gAcknowledgements.....................................................................342
4 m% g6 U2 I$ q, {! g, N% |References...................................................................................342. e. h( ~; U: v6 l$ ~! ?
CHAPTER 8 Controlling thermal radiation from surfaces............ 357+ u% [& U2 M/ D: c
Carl G. Ribbing
- w* b, C6 C$ {2 E" D8.1 Introduction.................................................................................357, d' W, x# T4 \: h: {
8.2 Blackbody Radiation ..................................................................359& c, @+ _4 P6 J! Q" z- {
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