Basics of OPTICS OF MULTILAYER SYSTEMS B%n|%g6K|h
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Contents DFMf" _p
Preface……………………………………………………………………….………..……….4 =Jax T90x
Chapter 1 U6?3 z
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: A$3ll| %j
THEORY……………………………………………………………………………………….5 O $ARk+
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 #;0F-pt
1.1.1 Layered medium electromagnetic field equations………………………………...5 f4;V7DJ
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 f
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1.1.3 The Fresnel formulas ……………………………………………………………18 RF[Uy?e s
1.1.4 Other ways of determining amplitude transmittance and reflectance of the +[Izz~ _p
layered medium…………………………………………………………………..19 ~ K@p`CRbV
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 K-b`KcX
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Hb3..o:
1.2.1 Matrix calculating method ………………………………………………………22 oH(a*i
1.2.2 Description of optical coating and presentation of calculation results…………..28 oD3]2o /
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 cO8yu`4!e
1.2.4 Approximate formulas…………………………………………………………...33 Df@b;-E
1.2.5 Other recurrent methods…………………………………………………………34 k x %\Cz
1.2.6 The admittance phase plane……………………………………………………...38 &3Ry0?RET
1.3 Some common properties of multilayer coatings…………………………………….46 e}NB ,o
1.3.1 The relation between the characteristic matrix and spectral coefficients of a #Xk/<It
multilayer coating ……………………………………………………………….47 LFAefl\
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ~^/BAc
1.3.3 Transmittance and reflectance of the combination of two multilayer o'_eLp
subsystems ……………………………………………………………………....54 cwE ?+vB
1.4 The multilayer coatings optical properties: impact of variations in the layer q*<FfO=eQ
parameters……………………………………………………………………………...58 QL\3|' a
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… :z`L)
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral JLGC 'mbJ
coefficients: probability assessment method ……………………….…………...63 =j%ORD[
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter aJ J)ZP2+
variations ………………………………………………………………………...66 06 an(& a9
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 =, 64Qbau
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 4D[(X=FSU
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 .[
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 %_(^BZd
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the q }]z8 L
central wavelength ………………………………………………………………80 JSoInR1E
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 )`#SMLMy~
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 mUfANlQ:
1.6.1 Common expressions for spectral coefficients of filter-type systems near central IN@ =UAc&
wavelength ………………………………………………………………………88 XzW\p8D^u
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 je74As[
Chapter 2 ^YB3$: @$U
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 zUA
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2.1 Synthesis methods based on merit function optimization …………………………...98 0? ''v>%
2.1.1 Merit function selection …………………………………………………………98 CN6b 982&
2.1.2 Merit function optimization ……………………………………………………101 &r!jjT
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ?s] ?2>p
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 nFjaV`6`@
2.2.1 Needle-like variations of the refractive index ………………………………….115 7WHq'R{@
2.2.2 The principal idea of the method ………………………………………………119 h$d`Jmaq
2.2.3 Description of the method ……………………………………………………...124 @`nU=kY/
Bibliography …...………………………………………….……………….………..……130
