Basics of OPTICS OF MULTILAYER SYSTEMS 9:4S[mz/hD
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Contents :-}K:ucaj
Preface……………………………………………………………………….………..……….4 \K nRQtlI
Chapter 1 = 4MTb_
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: <HoCt8>U
THEORY……………………………………………………………………………………….5 F| eWHw? t
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 TL2E |@k1]
1.1.1 Layered medium electromagnetic field equations………………………………...5
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 !nSa4U,$w<
1.1.3 The Fresnel formulas ……………………………………………………………18 n !4\w>h
1.1.4 Other ways of determining amplitude transmittance and reflectance of the {6H[[7i
layered medium…………………………………………………………………..19 >Xk42zvqn
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 sko7,&
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 0WC\u xT7
1.2.1 Matrix calculating method ………………………………………………………22 m;~} }~&vQ
1.2.2 Description of optical coating and presentation of calculation results…………..28 >^~^#MT
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ?4%H(k5A
1.2.4 Approximate formulas…………………………………………………………...33 WVRIq'
1.2.5 Other recurrent methods…………………………………………………………34
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1.2.6 The admittance phase plane……………………………………………………...38 u:f ]|Q
1.3 Some common properties of multilayer coatings…………………………………….46 g %mCg P
1.3.1 The relation between the characteristic matrix and spectral coefficients of a |- x-CSN
multilayer coating ……………………………………………………………….47 i8V\ x> 9
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 a2B71 RT~
1.3.3 Transmittance and reflectance of the combination of two multilayer - *'
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subsystems ……………………………………………………………………....54 4j=3'Z|
1.4 The multilayer coatings optical properties: impact of variations in the layer YSeH;<'
parameters……………………………………………………………………………...58 7 A\`
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… = g{I`u
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral bI &<L O
coefficients: probability assessment method ……………………….…………...63 bFX{|&tHU
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 0~fjY^(
variations ………………………………………………………………………...66 D{N8q^Cs9
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 h p|v?3(
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 #@B"E2F
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 G 1 "QX
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 3P6O] x<-?
central wavelength ………………………………………………………………80 ]gq)%T]
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 i]r(VKX
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 3[ [oAp
1.6.1 Common expressions for spectral coefficients of filter-type systems near central cF8
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wavelength ………………………………………………………………………88 Rl ewp8?LB
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 .2f vRN92
Chapter 2 JJd qdX;
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97
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2.1 Synthesis methods based on merit function optimization …………………………...98 t Ly:F*1i
2.1.1 Merit function selection …………………………………………………………98 ==[=Da~
2.1.2 Merit function optimization ……………………………………………………101 gTho:;q7a
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 0(7 IsG=t
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 '(5GR I<
2.2.1 Needle-like variations of the refractive index ………………………………….115 4 9; 'K
2.2.2 The principal idea of the method ………………………………………………119 op}!1y$9P
2.2.3 Description of the method ……………………………………………………...124 :/T\E\Qr
Bibliography …...………………………………………….……………….………..……130
