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Basics of OPTICS OF MULTILAYER SYSTEMS Eu-RNrYh#  
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Contents }_;!hdYq  
Preface……………………………………………………………………….………..……….4 *l;B\=KR  
Chapter 1 t{FlB!jv  
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: (v|}\?L  
THEORY……………………………………………………………………………………….5 N:tY":Hi  
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ks97k8B  
1.1.1 Layered medium electromagnetic field equations………………………………...5 ~r$jza~o(  
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 
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1.1.3 The Fresnel formulas ……………………………………………………………18 gV`=jAE_  
1.1.4 Other ways of determining amplitude transmittance and reflectance of the psC mbN   
layered medium…………………………………………………………………..19 J9Ou+6u(  
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 J.dLPKU;-  
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 B`o]*"xkB  
1.2.1 Matrix calculating method ………………………………………………………22 Q~Hh
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1.2.2 Description of optical coating and presentation of calculation results…………..28 CQr<N w  
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 4jBC9b}O  
1.2.4 Approximate formulas…………………………………………………………...33 WN5`;
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1.2.5 Other recurrent methods…………………………………………………………34 f7~9|w&  
1.2.6 The admittance phase plane……………………………………………………...38
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1.3 Some common properties of multilayer coatings…………………………………….46 pY~,(s|Qb  
1.3.1 The relation between the characteristic matrix and spectral coefficients of a wTGbd  
multilayer coating ……………………………………………………………….47 +sx 8t  
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 "+ >SJ~  
1.3.3 Transmittance and reflectance of the combination of two multilayer 5qkH|*Z3  
subsystems ……………………………………………………………………....54 "/6:6`J  
1.4 The multilayer coatings optical properties: impact of variations in the layer D?,#aB"  
parameters……………………………………………………………………………...58
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… RUUk f({(  
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral mVsIAC$}8  
coefficients: probability assessment method ……………………….…………...63 saAxGG  
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter +:-57  
variations ………………………………………………………………………...66 ~-t>z  
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 P"?FnTbv[  
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 N0w`!<y:c  
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 3ZZV<S
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 :nS;W  
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the V0(o~w/W%!  
central wavelength ………………………………………………………………80 aJe^Tp(  
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 CWG6;NT6m  
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 G #T<`>T  
1.6.1 Common expressions for spectral coefficients of filter-type systems near central j:&4-K};Z`  
wavelength ………………………………………………………………………88 ~h=X8-D  
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 9lj!C'  
Chapter 2 q4$+H{xB  
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ;HBCUe<_  
2.1 Synthesis methods based on merit function optimization …………………………...98 y"<))-MH  
2.1.1 Merit function selection …………………………………………………………98 ~!d/8?!  
2.1.2 Merit function optimization ……………………………………………………101 Z!&Rr~i <  
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ;.Ie#Vr1N  
2.2 Synthesis method based on the needle-like variations of the refractive index ……114  6vTo*8D  
2.2.1 Needle-like variations of the refractive index ………………………………….115 gx:;&4AD  
2.2.2 The principal idea of the method ………………………………………………119 qXW})(  
2.2.3 Description of the method ……………………………………………………...124 70Yjv1i  
Bibliography …...………………………………………….……………….………..……130

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Basics of OPTICS OF MULTILAYER SYSTEMS 8?Y['  
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OPTICS OF MULTILAYER

OPTICS OF MULTILAYER

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