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Basics of OPTICS OF MULTILAYER SYSTEMS |@+/R .l  
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Contents !I8m(axW  
Preface……………………………………………………………………….………..……….4 9 :ubPqt  
Chapter 1 8vK$]e36  
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: $$tFP"pZ  
THEORY……………………………………………………………………………………….5 X>$s>})Y  
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 lO>9Q]S<  
1.1.1 Layered medium electromagnetic field equations………………………………...5 3utv  
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 6N<v&7cSB  
1.1.3 The Fresnel formulas ……………………………………………………………18 q9^6A90  
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Hy9c<X[F9  
layered medium…………………………………………………………………..19 \D<w:\P  
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 /
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 0<n*8t?A-  
1.2.1 Matrix calculating method ………………………………………………………22 PE\.JU  
1.2.2 Description of optical coating and presentation of calculation results…………..28 uDWxIP,m  
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 /
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1.2.4 Approximate formulas…………………………………………………………...33 U=G}@Y  
1.2.5 Other recurrent methods…………………………………………………………34 E;vF :?|  
1.2.6 The admittance phase plane……………………………………………………...38 .Z0$KQ'iy  
1.3 Some common properties of multilayer coatings…………………………………….46 h,(f3Ik0O  
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ]DO~7p[  
multilayer coating ……………………………………………………………….47 1>pFUf|cV  
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 Wj}PtQ%lp/  
1.3.3 Transmittance and reflectance of the combination of two multilayer '@WpJ{]A  
subsystems ……………………………………………………………………....54 #j?SdQ  
1.4 The multilayer coatings optical properties: impact of variations in the layer >B~vE2^tQ~  
parameters……………………………………………………………………………...58
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Uh tk`2O  
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral f-BEfC,}'  
coefficients: probability assessment method ……………………….…………...63 @|i f^  
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter .GM}3(1fX`  
variations ………………………………………………………………………...66 O.HaEg/-  
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 0Gr^#`  
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 xyvG+K&  
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 U^@8ebv  
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 }R\9ybv  
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the jO9w7u6  
central wavelength ………………………………………………………………80 \GFFPCi4D  
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 97]$*&fH  
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 DJGq=*  
1.6.1 Common expressions for spectral coefficients of filter-type systems near central TA"4yri=7x  
wavelength ………………………………………………………………………88 -{=c T?"+  
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 $UX^$gG  
Chapter 2 1yg5d9  
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 5e|2b] f$  
2.1 Synthesis methods based on merit function optimization …………………………...98
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2.1.1 Merit function selection …………………………………………………………98 *}n)KK7aT  
2.1.2 Merit function optimization ……………………………………………………101 ]%4rL S  
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 %dN',  
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 <8SRt-Cr  
2.2.1 Needle-like variations of the refractive index ………………………………….115 nG+L'SmI  
2.2.2 The principal idea of the method ………………………………………………119 Onqd2'%<  
2.2.3 Description of the method ……………………………………………………...124 @ a$HJ:  
Bibliography …...………………………………………….……………….………..……130

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Basics of OPTICS OF MULTILAYER SYSTEMS vcsMU|GGh  
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OPTICS OF MULTILAYER

OPTICS OF MULTILAYER

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