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| ka2012 | 2023-11-19 12:22 |  
| Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS `Vh&XH\S E,[v%Xw
 Contents 2-:` lrVd
 Preface……………………………………………………………………….………..……….4 +^a@U^V
 Chapter 1 0:eK}tC
 SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS:  Hlj3z3
 THEORY……………………………………………………………………………………….5 P}-S[[b73s
 1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 =	Ruq
 1.1.1 Layered medium electromagnetic field equations………………………………...5 :kucDQE({?
 1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 }$:ha>
 1.1.3 The Fresnel formulas ……………………………………………………………18 bbWW|PtWwP
 1.1.4 Other ways of determining amplitude transmittance and reflectance of the  &9xcP.3
 layered medium…………………………………………………………………..19 7[8d-Sf24{
 1.1.5 Transmittance, reflectance and absorptance …………………………………….20 >P2QL>P
 1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 8+~'T|
 1.2.1 Matrix calculating method ………………………………………………………22 xic&m5j
m
 1.2.2 Description of optical coating and presentation of calculation results…………..28 ;AT~?o`n
 1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ET|4a(x
 1.2.4 Approximate formulas…………………………………………………………...33 	AUR{O
 1.2.5 Other recurrent methods…………………………………………………………34 wVUm!Y
 1.2.6 The admittance phase plane……………………………………………………...38 #F+b^WTR
 1.3 Some common properties of multilayer coatings…………………………………….46 @T{I;8S
 1.3.1 The relation between the characteristic matrix and spectral coefficients of a  |l,0bkY@&
 multilayer coating ……………………………………………………………….47 |LE*R@|3$
 1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ?gS~9jgcd
 1.3.3 Transmittance and reflectance of the combination of two multilayer  OWmI$_L
 subsystems ……………………………………………………………………....54 ~-NlTx
 1.4 The multilayer coatings optical properties: impact of variations in the layer  *w1R>
 parameters……………………………………………………………………………...58 @FuX^Q.[
 1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… |exjrsmM*
 1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral  Il!#]
 coefficients: probability assessment method ……………………….…………...63 5Veybchy "
 1.4.3 Multilayer coating spectral properties: influence of separate layer parameter  e'dZ2;X$zo
 variations ………………………………………………………………………...66 <Kq!))	J'
 1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 !:|D[1m
 1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 mQ:5(]v
 1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 9K#U<Q0b'
 1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 vrXNa8,L
 1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the  lLuAg ds`
 central wavelength ………………………………………………………………80 g=kuM
 1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ,in"8aT}~
 1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 WO{9S%ck
 1.6.1 Common expressions for spectral coefficients of filter-type systems near central  50`<[w<J
q
 wavelength ………………………………………………………………………88 Evq^c5n>{
 1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 @	{8xL
 Chapter 2 B6]M\4v
 SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 Su[f"2oR
 2.1 Synthesis methods based on merit function optimization …………………………...98 W$u/tRF
 2.1.1 Merit function selection …………………………………………………………98 	QCvst*
 2.1.2 Merit function optimization ……………………………………………………101 |FZIUS{]
 2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 !T26#>mV
 2.2 Synthesis method based on the needle-like variations of the refractive index ……114 q=uJ^N
 2.2.1 Needle-like variations of the refractive index ………………………………….115 ,F0bkNBG
 2.2.2 The principal idea of the method ………………………………………………119 
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 2.2.3 Description of the method ……………………………………………………...124 (J\Qo9Il
 Bibliography …...………………………………………….……………….………..……130
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