Basics of OPTICS OF MULTILAYER SYSTEMS h8Si,W 3o
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Contents .utL/1Ej
Preface……………………………………………………………………….………..……….4 L1i> %5:g
Chapter 1 _Z2)e*(
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ,[#f}|s_
THEORY……………………………………………………………………………………….5 nHjwT5Q+Q
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ev
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1.1.1 Layered medium electromagnetic field equations………………………………...5 }2 oJ
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 /^G+vhlf\
1.1.3 The Fresnel formulas ……………………………………………………………18 {rLOAewr
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ek!N eu>
layered medium…………………………………………………………………..19 c= u ORt>
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 +8I0.,'
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 E}2[P b)e
1.2.1 Matrix calculating method ………………………………………………………22 p E,BE%
1.2.2 Description of optical coating and presentation of calculation results…………..28 -',Y; 0b%
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Cx~z^YP'
1.2.4 Approximate formulas…………………………………………………………...33 xpwzz O*U
1.2.5 Other recurrent methods…………………………………………………………34 kw'D2692
1.2.6 The admittance phase plane……………………………………………………...38 iSlVe~ef
1.3 Some common properties of multilayer coatings…………………………………….46 EMbsKG
1.3.1 The relation between the characteristic matrix and spectral coefficients of a D( |$6J 0
multilayer coating ……………………………………………………………….47 q%Pnx_RB
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 th,qq
1.3.3 Transmittance and reflectance of the combination of two multilayer rC16?RovQ@
subsystems ……………………………………………………………………....54 (eP)>G]
1.4 The multilayer coatings optical properties: impact of variations in the layer lc7]=,qyF
parameters……………………………………………………………………………...58 ta(x4fP_
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… +
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ><qE5 D[
coefficients: probability assessment method ……………………….…………...63 fHi+PEbR
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter jtwO\6 t&
variations ………………………………………………………………………...66 NQ!F`
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 o ++ Hdvai
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 C2v7 (
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 NYeg,{q
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 !k63 `(Ti
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the )FLpWE"e-
central wavelength ………………………………………………………………80 d mO|PswW
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 \Wk$>?+#@
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 CiSG=obw
1.6.1 Common expressions for spectral coefficients of filter-type systems near central =[&Jxy>Y
wavelength ………………………………………………………………………88 vI@8DWs
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 X1"nq]chGy
Chapter 2 Y'T#
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 : .,I4>b2
2.1 Synthesis methods based on merit function optimization …………………………...98 \+\h<D-5
2.1.1 Merit function selection …………………………………………………………98 `U R.Rn/x
2.1.2 Merit function optimization ……………………………………………………101 0% /M& N
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Fh'Jb*|Q
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ~cjvo?)&e;
2.2.1 Needle-like variations of the refractive index ………………………………….115 I
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2.2.2 The principal idea of the method ………………………………………………119 EbQ} w"{
2.2.3 Description of the method ……………………………………………………...124 i]v!o$7
Bibliography …...………………………………………….……………….………..……130
