Basics of OPTICS OF MULTILAYER SYSTEMS ) .\%a
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Contents 2gA6$ s7
Preface……………………………………………………………………….………..……….4 T5ol2
Chapter 1 FbF P
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 9Z} -%Z[,)
THEORY……………………………………………………………………………………….5 env]*gx+=
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 s q_
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1.1.1 Layered medium electromagnetic field equations………………………………...5 H d
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 {<V{ 0
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1.1.3 The Fresnel formulas ……………………………………………………………18 Z \n
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the 06ZyR@.@v
layered medium…………………………………………………………………..19 tks1* I$S<
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 HZ/e^"cpM
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 d-X<+&VZ
1.2.1 Matrix calculating method ………………………………………………………22 wtK+\Qnb
1.2.2 Description of optical coating and presentation of calculation results…………..28 )KG. :BO<
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 vLq_l 4l
1.2.4 Approximate formulas…………………………………………………………...33 [:Sl^ Z&6M
1.2.5 Other recurrent methods…………………………………………………………34 F.4xi+S_
1.2.6 The admittance phase plane……………………………………………………...38 D KR2b`J
1.3 Some common properties of multilayer coatings…………………………………….46 k*J0K=U|
1.3.1 The relation between the characteristic matrix and spectral coefficients of a r3'0{Nn+
multilayer coating ……………………………………………………………….47 K1Mn_)%
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 "d% o%
1.3.3 Transmittance and reflectance of the combination of two multilayer ;tlvf?0!
subsystems ……………………………………………………………………....54 05Ak[OOU>
1.4 The multilayer coatings optical properties: impact of variations in the layer w=,bF$:fIW
parameters……………………………………………………………………………...58 c1Skt
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… r[K%8 Y8`
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral _->d41
coefficients: probability assessment method ……………………….…………...63 bZLY#g7L"
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ]@0C1 r
variations ………………………………………………………………………...66 ]v=A}}kS
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 !ap}+_IA7^
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 :> f}rq
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 @P@?KZ..v!
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Phr+L9Eog
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the \(C6|-:GY
central wavelength ………………………………………………………………80 ` p#tx .o
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ;0 FfP
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 *mby fu0q
1.6.1 Common expressions for spectral coefficients of filter-type systems near central )\Am:?RH;
wavelength ………………………………………………………………………88 g=n{G@ *N
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 &.F ]-1RN[
Chapter 2 _\;0E!=p
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 uVN2}3!)Y
2.1 Synthesis methods based on merit function optimization …………………………...98 GCZx-zD~>
2.1.1 Merit function selection …………………………………………………………98 Ir#]p 9:x
2.1.2 Merit function optimization ……………………………………………………101 0~4Ww=#
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Y7 Bm W+
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 7H.3.j(L
2.2.1 Needle-like variations of the refractive index ………………………………….115 6+!$x?5|NP
2.2.2 The principal idea of the method ………………………………………………119 u.;l=tzz
2.2.3 Description of the method ……………………………………………………...124 Ogv9_ X8
Bibliography …...………………………………………….……………….………..……130
