Basics of OPTICS OF MULTILAYER SYSTEMS p:%E>K1<
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Contents I!'(>VlP7
Preface……………………………………………………………………….………..……….4 n(VM GCZPV
Chapter 1 6mLE-(
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SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: >i E
THEORY……………………………………………………………………………………….5 <qx-%6
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 WfZ#:G9
1.1.1 Layered medium electromagnetic field equations………………………………...5 J?$uNlI
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 u\?u}t v
1.1.3 The Fresnel formulas ……………………………………………………………18 N6'Y
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the CP^^ct-C
layered medium…………………………………………………………………..19 Wfy+7$14M
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 S/jHyJ,
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 WU_Q
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1.2.1 Matrix calculating method ………………………………………………………22 &>{L"{
1.2.2 Description of optical coating and presentation of calculation results…………..28 HjD= .Q
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 6}2Lt[>O
1.2.4 Approximate formulas…………………………………………………………...33 zv@o- R$l
1.2.5 Other recurrent methods…………………………………………………………34 h ,G$e|[?
1.2.6 The admittance phase plane……………………………………………………...38 !>j- j
1.3 Some common properties of multilayer coatings…………………………………….46 b\mN^P~>A
1.3.1 The relation between the characteristic matrix and spectral coefficients of a kfV}w,
multilayer coating ……………………………………………………………….47 B4=gMVp1
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 #*@Yil=1
1.3.3 Transmittance and reflectance of the combination of two multilayer `0N/
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subsystems ……………………………………………………………………....54 VF.S)='>Eu
1.4 The multilayer coatings optical properties: impact of variations in the layer 0nAS4Az
parameters……………………………………………………………………………...58 m`aUz}Y>c
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… E)bP}:4V
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral u c8 >B&B%
coefficients: probability assessment method ……………………….…………...63 `h#JDcT ;a
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ><HXd+- sd
variations ………………………………………………………………………...66 59u7q(
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 GEgf_C!%@
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 LBR_Q0EP
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 $2 0*&4y^
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 .w&Z=YM
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the FMiYZ1^r
central wavelength ………………………………………………………………80 >n/QKFvV5
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 h/ic-iH(>
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ;F5%X\ t-
1.6.1 Common expressions for spectral coefficients of filter-type systems near central N?p $ -{
wavelength ………………………………………………………………………88 3.Qwn.
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 (R F6K6~
Chapter 2 }T6jQ:?@
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 .KV?;{~q@
2.1 Synthesis methods based on merit function optimization …………………………...98 <JlKtR&nSo
2.1.1 Merit function selection …………………………………………………………98 X$<?:f-
2.1.2 Merit function optimization ……………………………………………………101 $xqphhBg
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 <GC:aG
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 gi8kYHldH
2.2.1 Needle-like variations of the refractive index ………………………………….115 >r3Wo%F'
2.2.2 The principal idea of the method ………………………………………………119 _IGQ<U <z
2.2.3 Description of the method ……………………………………………………...124 EC7o 3LoND
Bibliography …...………………………………………….……………….………..……130
