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Contents wYea\^co  
Preface……………………………………………………………………….………..……….4 0GwR~Z}Z  
Chapter 1 mH(:?_KrS-  
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: KI.unP%  
THEORY……………………………………………………………………………………….5 0GLM(JmK  
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ".%k6W<n  
1.1.1 Layered medium electromagnetic field equations………………………………...5 iZmcI;?u  
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 >P(.:_^p  
1.1.3 The Fresnel formulas ……………………………………………………………18 mFeP9MfJ  
1.1.4 Other ways of determining amplitude transmittance and reflectance of the '/p4O2b,  
layered medium…………………………………………………………………..19 e-;}3
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 T{"(\X$  
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 A/(a`"mK|'  
1.2.1 Matrix calculating method ………………………………………………………22 k6^Z~5 Sy  
1.2.2 Description of optical coating and presentation of calculation results…………..28 Z+SRXKQ  
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 hH.G#-JO  
1.2.4 Approximate formulas…………………………………………………………...33 x`s>*^  
1.2.5 Other recurrent methods…………………………………………………………34 'u658Tj  
1.2.6 The admittance phase plane……………………………………………………...38 [g,}gyeS(  
1.3 Some common properties of multilayer coatings…………………………………….46 YSMAd-Ef-  
1.3.1 The relation between the characteristic matrix and spectral coefficients of a cQ|NJ_F{1  
multilayer coating ……………………………………………………………….47 !D6]J
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 lZ0 =;I  
1.3.3 Transmittance and reflectance of the combination of two multilayer $G>.\t  
subsystems ……………………………………………………………………....54 4i bc  
1.4 The multilayer coatings optical properties: impact of variations in the layer [ ~,AfY  
parameters……………………………………………………………………………...58 <@}9Bid!o  
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… bt *k.=p  
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral N`i/mP  
coefficients: probability assessment method ……………………….…………...63 :k"]5>(^  
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter yZ:qU({KhD  
variations ………………………………………………………………………...66 =Qq+4F)MD  
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Ac6=(B  
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 :Tc^y%b0  
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 :&Nbw  
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 9uY'E'm*  
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 9F
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central wavelength ………………………………………………………………80 DIvHvFss  
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 a.'*G6~Qgw  
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 )0MB9RMk1  
1.6.1 Common expressions for spectral coefficients of filter-type systems near central =41xkAMnk  
wavelength ………………………………………………………………………88 3T 9j@N77  
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 $e\M_hp*J  
Chapter 2 <{pz<io)  
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 :,^gj  
2.1 Synthesis methods based on merit function optimization …………………………...98 fM}#ON>Z  
2.1.1 Merit function selection …………………………………………………………98 g0 [w-?f  
2.1.2 Merit function optimization ……………………………………………………101 l%ZhA=TKQ  
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 l, wp4Ll  
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Bq>m{  
2.2.1 Needle-like variations of the refractive index ………………………………….115 67TwPvh  
2.2.2 The principal idea of the method ………………………………………………119 4 :=]<sc,  
2.2.3 Description of the method ……………………………………………………...124 Y7nvHU|+o  
Bibliography …...………………………………………….……………….………..……130

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OPTICS OF MULTILAYER

OPTICS OF MULTILAYER

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