Basics of OPTICS OF MULTILAYER SYSTEMS zuk "
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Contents (*MNox?w
Preface……………………………………………………………………….………..……….4 q w5&Y$((
Chapter 1 " Wo.8
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Y~:}l9Qs
THEORY……………………………………………………………………………………….5 OI*ZVD )J
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 KS
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1.1.1 Layered medium electromagnetic field equations………………………………...5 75kKDR}6
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 -MDO Zz\
1.1.3 The Fresnel formulas ……………………………………………………………18 g})6V
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 5/ tj
layered medium…………………………………………………………………..19 Ze#Jhn@
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ,.[.SU#V
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 4 #aqz9k
1.2.1 Matrix calculating method ………………………………………………………22 ]{(l;k9=e
1.2.2 Description of optical coating and presentation of calculation results…………..28 -xw 9 8
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 C/CN
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1.2.4 Approximate formulas…………………………………………………………...33 ax<g0=^R
1.2.5 Other recurrent methods…………………………………………………………34 }iD$4\ L
1.2.6 The admittance phase plane……………………………………………………...38 M8\G>0Hc6
1.3 Some common properties of multilayer coatings…………………………………….46 HmhUc,EC
1.3.1 The relation between the characteristic matrix and spectral coefficients of a c/b%T
multilayer coating ……………………………………………………………….47 5.O-(eSa0&
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 mPck f
1.3.3 Transmittance and reflectance of the combination of two multilayer XIqv {w
subsystems ……………………………………………………………………....54 $[j-C9W
1.4 The multilayer coatings optical properties: impact of variations in the layer "fRlEO[9
parameters……………………………………………………………………………...58 _t$lcOT
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… g iaD9$C
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral #! w:_T%
coefficients: probability assessment method ……………………….…………...63 =
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter sP9 ^ IP
variations ………………………………………………………………………...66 ~^^ !"-
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ? F)_T
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 F# jCEq
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 9cVn>Fb
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 4\&H?: c.
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the !O~}, pp
central wavelength ………………………………………………………………80 l{nB.m2
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 }Vs~RJM)}
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 =t@: F
1.6.1 Common expressions for spectral coefficients of filter-type systems near central '&RZ3@}+
wavelength ………………………………………………………………………88 Dm>T"4B`/
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 2~#ZO?jE6
Chapter 2 nsZDZ/jx
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ^:qpa 5^"
2.1 Synthesis methods based on merit function optimization …………………………...98 T {hyt
2.1.1 Merit function selection …………………………………………………………98 L v
2.1.2 Merit function optimization ……………………………………………………101 J CM)N8~i
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 \#uqD\DE
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 -$AjD?;
2.2.1 Needle-like variations of the refractive index ………………………………….115 "B3iX@C
2.2.2 The principal idea of the method ………………………………………………119 `DI{wqV9
2.2.3 Description of the method ……………………………………………………...124 )3k)2X F
Bibliography …...………………………………………….……………….………..……130
