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Basics of OPTICS OF MULTILAYER SYSTEMS j`\}xDg  
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Contents Zjt3U;Y
 
Preface……………………………………………………………………….………..……….4 j"E_nV:Qc  
Chapter 1 LmLV2f  
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 9z,?DBMvc  
THEORY……………………………………………………………………………………….5 zb}:wUR  
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 *N$#cz  
1.1.1 Layered medium electromagnetic field equations………………………………...5 N"b>]Ab] ;  
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 bgd1j,PWbW  
1.1.3 The Fresnel formulas ……………………………………………………………18 d;ElqRC&  
1.1.4 Other ways of determining amplitude transmittance and reflectance of the YXJjqH3  
layered medium…………………………………………………………………..19 <BQ4x.[  
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 #nc{MR#R  
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 O1@xF9<  
1.2.1 Matrix calculating method ………………………………………………………22 iuq-M?1  
1.2.2 Description of optical coating and presentation of calculation results…………..28 S*:b\{[f>  
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Rtn.cSd  
1.2.4 Approximate formulas…………………………………………………………...33 :JqH.Sqk  
1.2.5 Other recurrent methods…………………………………………………………34 4ow)vS(  
1.2.6 The admittance phase plane……………………………………………………...38 <Ja>  
1.3 Some common properties of multilayer coatings…………………………………….46 {vAq08  
1.3.1 The relation between the characteristic matrix and spectral coefficients of a abtAkf  
multilayer coating ……………………………………………………………….47 4.7ePbk[E  
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 s} ,p>8  
1.3.3 Transmittance and reflectance of the combination of two multilayer "}|n;:r  
subsystems ……………………………………………………………………....54 `ejE)VL=8h  
1.4 The multilayer coatings optical properties: impact of variations in the layer b:>(U.   
parameters……………………………………………………………………………...58 TE0hVw0c  
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… z
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Y*0%lq({H  
coefficients: probability assessment method ……………………….…………...63 . #;ZM[v  
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 0?ZJJdI3  
variations ………………………………………………………………………...66 qU#
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 $CO^dFf  
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 KLs%{'[7:  
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 5A/G?  
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 w/N.#s^  
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Fp-d69Npo  
central wavelength ………………………………………………………………80 &-9wUZ  
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 (eN\s98)/  
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 vI#\Qe  
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ;|b D
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wavelength ………………………………………………………………………88 iU{F\>  
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 T<DQi  
Chapter 2 y-{^L`%Mk  
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 vKDRjrF-  
2.1 Synthesis methods based on merit function optimization …………………………...98 ,~gY'Ql  
2.1.1 Merit function selection …………………………………………………………98 Ym-uElWo  
2.1.2 Merit function optimization ……………………………………………………101 a>Uk<#>2?a  
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 OR4!73[I  
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 S[{#AX=0  
2.2.1 Needle-like variations of the refractive index ………………………………….115 N/Z3 EF_  
2.2.2 The principal idea of the method ………………………………………………119 p}!rPd*  
2.2.3 Description of the method ……………………………………………………...124 x9~d_>'A  
Bibliography …...………………………………………….……………….………..……130

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OPTICS OF MULTILAYER

OPTICS OF MULTILAYER

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