Basics of OPTICS OF MULTILAYER SYSTEMS j S LNQ
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Contents f9A^0A?c
Preface……………………………………………………………………….………..……….4 9,h'cf`F
Chapter 1 y H\z+A|
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: bVE t?E*+
THEORY……………………………………………………………………………………….5 9.F+)y@
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 }yde9b?F
1.1.1 Layered medium electromagnetic field equations………………………………...5 >"^H"K/T
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 K 8,fw-S%
1.1.3 The Fresnel formulas ……………………………………………………………18 oLJP@J
1.1.4 Other ways of determining amplitude transmittance and reflectance of the U#=Q`
layered medium…………………………………………………………………..19 i
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 3B }Oy$p
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ES~ ykE
1.2.1 Matrix calculating method ………………………………………………………22 C] 22 [v4
1.2.2 Description of optical coating and presentation of calculation results…………..28 ?NV3 ]vl
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ET ;=o+\d
1.2.4 Approximate formulas…………………………………………………………...33 Q fI =
1.2.5 Other recurrent methods…………………………………………………………34 |Qq_;x]
1.2.6 The admittance phase plane……………………………………………………...38 pNY+ E5
1.3 Some common properties of multilayer coatings…………………………………….46 lM1Y }
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 1aC ?*,e?
multilayer coating ……………………………………………………………….47 7O3 \
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 01md@4NQ
1.3.3 Transmittance and reflectance of the combination of two multilayer TCW[;d
subsystems ……………………………………………………………………....54 /\=syl
1.4 The multilayer coatings optical properties: impact of variations in the layer Zj )B d* a
parameters……………………………………………………………………………...58 %]/O0#E3Kz
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… /b *VFA/75
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral *ujn+0)[
coefficients: probability assessment method ……………………….…………...63 "Dbjp5_
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter OidF{I*O
variations ………………………………………………………………………...66 7<W7pXDp
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 S`yY<1[O
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 bL`O k
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 sxq'uF(K
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 n:c)R8X]
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the _<?lP$Xr
central wavelength ………………………………………………………………80 L_Q1:nL-0
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 $ 7q'Be@{
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 vh8{*9+
1.6.1 Common expressions for spectral coefficients of filter-type systems near central RIXUzKLO
wavelength ………………………………………………………………………88 /aa'ryl_%
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 N :E7rtT,M
Chapter 2 ]|cL+|':y
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 !b<c*J?f
2.1 Synthesis methods based on merit function optimization …………………………...98 \M4/? <g
2.1.1 Merit function selection …………………………………………………………98 pVTx# rY
2.1.2 Merit function optimization ……………………………………………………101 !MNo
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2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 8$ dJh]\Y
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 2"
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2.2.1 Needle-like variations of the refractive index ………………………………….115 &M$s@FUY
2.2.2 The principal idea of the method ………………………………………………119 Q<$I,C]
2.2.3 Description of the method ……………………………………………………...124
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Bibliography …...………………………………………….……………….………..……130
