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Basics of OPTICS OF MULTILAYER SYSTEMS mz\NFC<  
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Contents Wp5]Uk  
Preface……………………………………………………………………….………..……….4 :N@U[Wx0A  
Chapter 1 lq>pH5x  
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 5vTv$2@  
THEORY……………………………………………………………………………………….5 d/{Q t  
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 o]Wz6L  
1.1.1 Layered medium electromagnetic field equations………………………………...5 1")FWN_K/T  
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 mG)8U{L  
1.1.3 The Fresnel formulas ……………………………………………………………18 Q.,DZp   
1.1.4 Other ways of determining amplitude transmittance and reflectance of the e?V,fzg  
layered medium…………………………………………………………………..19 9Ct_$.Q.  
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 4'SaEsA~  
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 3;*z3;#}  
1.2.1 Matrix calculating method ………………………………………………………22 =}JBA>q(  
1.2.2 Description of optical coating and presentation of calculation results…………..28 GQN98Y+h  
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 b5j*xZv  
1.2.4 Approximate formulas…………………………………………………………...33 __!m*!sd  
1.2.5 Other recurrent methods…………………………………………………………34 _(C^[:s  
1.2.6 The admittance phase plane……………………………………………………...38 ITyzs4"VV  
1.3 Some common properties of multilayer coatings…………………………………….46 4`nqAX~'f  
1.3.1 The relation between the characteristic matrix and spectral coefficients of a [O2h-`  
multilayer coating ……………………………………………………………….47 pOm@b`S%  
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 7*i}km  
1.3.3 Transmittance and reflectance of the combination of two multilayer &hayR_F9  
subsystems ……………………………………………………………………....54 0G5'Y;8  
1.4 The multilayer coatings optical properties: impact of variations in the layer y%4 Gp  
parameters……………………………………………………………………………...58 2H[ ; v+  
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… q]^,vei  
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral k6@b|  
coefficients: probability assessment method ……………………….…………...63 Z>8eD|m%2  
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Xo Y7/&&  
variations ………………………………………………………………………...66 R<_?W#$j
 
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ga-{!$b*  
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 :zlpfm2  
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Ikj=`,a2B  
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 `<^*jB@P  
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Z,WubX<  
central wavelength ………………………………………………………………80 QY@u}&m%o  
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 &<Mt=(qY1  
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 c3] C:t+  
1.6.1 Common expressions for spectral coefficients of filter-type systems near central XA1f' Kk  
wavelength ………………………………………………………………………88 7 _g+^e-"  
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 :#{-RU@PS  
Chapter 2 h*s`^W3
 
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 y"vX~LR  
2.1 Synthesis methods based on merit function optimization …………………………...98 :.$"kXm^  
2.1.1 Merit function selection …………………………………………………………98 3_W{T@T  
2.1.2 Merit function optimization ……………………………………………………101 S[mM4et|  
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 h4(JUio  
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 :
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2.2.1 Needle-like variations of the refractive index ………………………………….115 mc ZGg;3  
2.2.2 The principal idea of the method ………………………………………………119 "jR]MZ  
2.2.3 Description of the method ……………………………………………………...124 ]#zZWg zv  
Bibliography …...………………………………………….……………….………..……130

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OPTICS OF MULTILAYER

OPTICS OF MULTILAYER

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