Basics of OPTICS OF MULTILAYER SYSTEMS F9d][ P@@
)hn,rmn
(P
Contents c>]_,Br~
Preface……………………………………………………………………….………..……….4 S 46[2-v1
Chapter 1 of(Nq@
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: (2%C% #]8
THEORY……………………………………………………………………………………….5 SH 5k^EJ
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 \ 0:ITz
1.1.1 Layered medium electromagnetic field equations………………………………...5 #'"h+[XY
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 BURiLEYZl
1.1.3 The Fresnel formulas ……………………………………………………………18 J H $
1.1.4 Other ways of determining amplitude transmittance and reflectance of the }}ogdq
layered medium…………………………………………………………………..19 @GGyiK@
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 fF>H7
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 dkCSqNFL)
1.2.1 Matrix calculating method ………………………………………………………22 8l?]UFM>C
1.2.2 Description of optical coating and presentation of calculation results…………..28 T nPC\ .x
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 :S,#*rPKBK
1.2.4 Approximate formulas…………………………………………………………...33 Wqy8ZgSC
1.2.5 Other recurrent methods…………………………………………………………34 IMV oNKW-
1.2.6 The admittance phase plane……………………………………………………...38 q/]tJ{ FI
1.3 Some common properties of multilayer coatings…………………………………….46 m V^dIm
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 6.ap ^9AD
multilayer coating ……………………………………………………………….47 uZ
OUp8QQ
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ]ImS@!Ajjx
1.3.3 Transmittance and reflectance of the combination of two multilayer $'e.bh
subsystems ……………………………………………………………………....54 `UeF3~)>E
1.4 The multilayer coatings optical properties: impact of variations in the layer u} KiSZxt
parameters……………………………………………………………………………...58 % 3FI>\3
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… h#;yA"j1&
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral +K+
== mO&
coefficients: probability assessment method ……………………….…………...63 ib&
|271gG
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter SqEO
] ~
variations ………………………………………………………………………...66 :?lSa6de
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 x!G\-2#
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 {9P<G]Z
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 .}j @(D
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 .p0;y3so4
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the />]/ At
central wavelength ………………………………………………………………80 mD|<qsY)
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 KX*e2 /0
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 .k[Ptx>
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ^gv)[
wavelength ………………………………………………………………………88 KxiZx I
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 1OJ:Vy }n
Chapter 2 t-/%|@?D
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 .o
fYFK
2.1 Synthesis methods based on merit function optimization …………………………...98 A(<-
U|
2.1.1 Merit function selection …………………………………………………………98 ujDAs%6MZ
2.1.2 Merit function optimization ……………………………………………………101 [D /q%
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 |n]^gTJt
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 6s>PZh
2.2.1 Needle-like variations of the refractive index ………………………………….115 UIzk-.<
2.2.2 The principal idea of the method ………………………………………………119 7rsrC
2.2.3 Description of the method ……………………………………………………...124 qB"y'UW8
Bibliography …...………………………………………….……………….………..……130
