Basics of OPTICS OF MULTILAYER SYSTEMS s4&^D<
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Contents G t9&)/#
Preface……………………………………………………………………….………..……….4 Gy=B&bo Z
Chapter 1 gV&z2S~"
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: .<kqJ|SVi
THEORY……………………………………………………………………………………….5 'SQG>F Uy
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 h iN EJ_f
1.1.1 Layered medium electromagnetic field equations………………………………...5 l5L.5 $N
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 !i=nSqW
1.1.3 The Fresnel formulas ……………………………………………………………18 VfT*7_
1.1.4 Other ways of determining amplitude transmittance and reflectance of the xf|mlHS+
layered medium…………………………………………………………………..19 [+qCs7'
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 bn
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Da"j E
1.2.1 Matrix calculating method ………………………………………………………22 n3J53| %v
1.2.2 Description of optical coating and presentation of calculation results…………..28 CI3XzH\IX*
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 J\ e+}{
1.2.4 Approximate formulas…………………………………………………………...33 AT5aDEb^^
1.2.5 Other recurrent methods…………………………………………………………34 DTWD |M
1.2.6 The admittance phase plane……………………………………………………...38 @A)R_p
1.3 Some common properties of multilayer coatings…………………………………….46 w EzKqD
1.3.1 The relation between the characteristic matrix and spectral coefficients of a % YOndIS:
multilayer coating ……………………………………………………………….47 L(X6-M:
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 lJ@] [;
1.3.3 Transmittance and reflectance of the combination of two multilayer O%r; 5kP
subsystems ……………………………………………………………………....54 Web|\CH
1.4 The multilayer coatings optical properties: impact of variations in the layer McPNB`.H
parameters……………………………………………………………………………...58 JEE{ QjTh
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 'M3">$N
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ZE%YXG
coefficients: probability assessment method ……………………….…………...63 Y!;|ld
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter z({hiVs
variations ………………………………………………………………………...66 p !s}=wI `
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 CKA;.sh
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 :d ~ |jS
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 %vBhLaE
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 4DTzSy:x
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the y-CX}B#j
central wavelength ………………………………………………………………80 N/GQt\tV<
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 $+7`Dy!
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 O:da-xWJ
1.6.1 Common expressions for spectral coefficients of filter-type systems near central (%` Q hH
wavelength ………………………………………………………………………88 ngGO0
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 jM\*A#Jo5
Chapter 2 EM\'GW
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 I* VCp aA
2.1 Synthesis methods based on merit function optimization …………………………...98 n-DVT;y
2.1.1 Merit function selection …………………………………………………………98 W\18 {mbuy
2.1.2 Merit function optimization ……………………………………………………101 JMTvSXr
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 )# LpCM,a
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 fHZTXvxoL
2.2.1 Needle-like variations of the refractive index ………………………………….115 _v*
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2.2.2 The principal idea of the method ………………………………………………119 $-On~u0g
2.2.3 Description of the method ……………………………………………………...124 ^ "\R\COQ
Bibliography …...………………………………………….……………….………..……130
