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Contents zm9TvoC%}  
Preface……………………………………………………………………….………..……….4 ?j7vZ}iRi  
Chapter 1 PZ8U6K'
 
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ;evCW$G=  
THEORY……………………………………………………………………………………….5 rg(lCL&:S  
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 }2)DPP:ic  
1.1.1 Layered medium electromagnetic field equations………………………………...5 !~<siy  
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ~`Qko-a&  
1.1.3 The Fresnel formulas ……………………………………………………………18 v;y0jD
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the (kTXP_  
layered medium…………………………………………………………………..19 {mE! Vf  
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 &Y@#g9G  
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 (\puf+  
1.2.1 Matrix calculating method ………………………………………………………22 RaSz>-3d  
1.2.2 Description of optical coating and presentation of calculation results…………..28 #iSFf  
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 jn9 ShF  
1.2.4 Approximate formulas…………………………………………………………...33 A CNfS9M_w  
1.2.5 Other recurrent methods…………………………………………………………34 ;@ WV-bLe  
1.2.6 The admittance phase plane……………………………………………………...38 Jeqxspn T  
1.3 Some common properties of multilayer coatings…………………………………….46 |P6EO22p  
1.3.1 The relation between the characteristic matrix and spectral coefficients of a r0m)j  
multilayer coating ……………………………………………………………….47 (g :p5Rl  
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 4aZCFdc  
1.3.3 Transmittance and reflectance of the combination of two multilayer 2^exL h  
subsystems ……………………………………………………………………....54 t0PQ~|H<KV  
1.4 The multilayer coatings optical properties: impact of variations in the layer Z#`0txCF  
parameters……………………………………………………………………………...58 {gf>*  
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… . ,NB( s`  
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral #:3r4J%+~  
coefficients: probability assessment method ……………………….…………...63 QL"gWr`R  
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter juToO  
variations ………………………………………………………………………...66 zW{ 6Eg  
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 nN`"z3o  
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 7x.%hRk  
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 [UPNd!sy  
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 SA6hbcYk  
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the &J"YsY  
central wavelength ………………………………………………………………80 FN"rZWM  
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 UPCQs",  
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 <Mgf]v.QS  
1.6.1 Common expressions for spectral coefficients of filter-type systems near central m^!Sv?hV  
wavelength ………………………………………………………………………88 6i@ub%qq  
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 .PVLWW  
Chapter 2 >?XbU}  
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 RJJ1  
2.1 Synthesis methods based on merit function optimization …………………………...98 4sY[az  
2.1.1 Merit function selection …………………………………………………………98 K, (65>86;  
2.1.2 Merit function optimization ……………………………………………………101 xi {|  
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 >M^&F6  
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 \3NS>v[1  
2.2.1 Needle-like variations of the refractive index ………………………………….115 MUof=EJg>u  
2.2.2 The principal idea of the method ………………………………………………119 \v`#|lT$  
2.2.3 Description of the method ……………………………………………………...124 |i)lh_iN  
Bibliography …...………………………………………….……………….………..……130

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Basics of OPTICS OF MULTILAYER SYSTEMS p37|zX  
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OPTICS OF MULTILAYER

OPTICS OF MULTILAYER

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