Basics of OPTICS OF MULTILAYER SYSTEMS Hkf]=kPy*
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Contents }dU!PZ9N)
Preface……………………………………………………………………….………..……….4 7pyaHe
Chapter 1 ZBQ @S
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS:
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THEORY……………………………………………………………………………………….5 05j jLM'e
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 `4Fw,:+e
1.1.1 Layered medium electromagnetic field equations………………………………...5 kf95 )iLo
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 #7YJ87<E
1.1.3 The Fresnel formulas ……………………………………………………………18
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the c:B` <
layered medium…………………………………………………………………..19 M D& 7k,!
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 wq8& 2(|Fc
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 J Z>
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1.2.1 Matrix calculating method ………………………………………………………22 T}"[f/:N/
1.2.2 Description of optical coating and presentation of calculation results…………..28 2P=~6(
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ZP0D)@8
1.2.4 Approximate formulas…………………………………………………………...33 ]T.+( \I
1.2.5 Other recurrent methods…………………………………………………………34 [4yw? U
1.2.6 The admittance phase plane……………………………………………………...38 Ml bcJo3
1.3 Some common properties of multilayer coatings…………………………………….46 4`o<e)c3
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 4l> d^L
multilayer coating ……………………………………………………………….47 ~g@}A
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 5Z:qU{[
1.3.3 Transmittance and reflectance of the combination of two multilayer (bB"6
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subsystems ……………………………………………………………………....54 NE Zu?g
1.4 The multilayer coatings optical properties: impact of variations in the layer 4#t-?5"
parameters……………………………………………………………………………...58 { lppv( U
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… <33,0."K
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Jm 0.\[ J
coefficients: probability assessment method ……………………….…………...63 lO 0}
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter E},zB*5TH
variations ………………………………………………………………………...66 p3T:Y_
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Pj!f^MN
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 $e uI
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 'C>s YSL
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 vbG &F.P
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 8 0o'=E}"
central wavelength ………………………………………………………………80 $(*>]PC+)
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 B;piO-hH
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 H_aG\
1.6.1 Common expressions for spectral coefficients of filter-type systems near central h7o.RRh K
wavelength ………………………………………………………………………88 U: )Gc
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 bUYjmb2g)
Chapter 2 vWa\8y f
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 )ac!@slb^7
2.1 Synthesis methods based on merit function optimization …………………………...98 M23r/eg]
2.1.1 Merit function selection …………………………………………………………98 J` { o`>
2.1.2 Merit function optimization ……………………………………………………101 qmvQd8|XR
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 >Ml5QO$*.q
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 M0 KU}h
2.2.1 Needle-like variations of the refractive index ………………………………….115 @*|T(068&
2.2.2 The principal idea of the method ………………………………………………119 q)AX*T+
2.2.3 Description of the method ……………………………………………………...124 +B&+FGfNU
Bibliography …...………………………………………….……………….………..……130
