Basics of OPTICS OF MULTILAYER SYSTEMS N@}h
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Contents e3~{l~ Rb
Preface……………………………………………………………………….………..……….4 nb< o o:^
Chapter 1 2 l^_OrE!
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: G'PZ=+!XO/
THEORY……………………………………………………………………………………….5 &vn2u bauS
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ~ A=Gra
1.1.1 Layered medium electromagnetic field equations………………………………...5 pi/0~ke4"
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 G
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1.1.3 The Fresnel formulas ……………………………………………………………18 1;V_E2?V
1.1.4 Other ways of determining amplitude transmittance and reflectance of the " r o'?
layered medium…………………………………………………………………..19 A~<!@`NjB
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 m_@XoS
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 0H_uxkB~
1.2.1 Matrix calculating method ………………………………………………………22 >0<n%V#s:r
1.2.2 Description of optical coating and presentation of calculation results…………..28 ov;^ev,(
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Ef 28
1.2.4 Approximate formulas…………………………………………………………...33 g,]m8%GHE
1.2.5 Other recurrent methods…………………………………………………………34 xdM'v{N#m
1.2.6 The admittance phase plane……………………………………………………...38 #vga
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1.3 Some common properties of multilayer coatings…………………………………….46 )`R}@(r.
1.3.1 The relation between the characteristic matrix and spectral coefficients of a =W:=}ODD
multilayer coating ……………………………………………………………….47 $[,4Ib_|
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 dpylJ2
1.3.3 Transmittance and reflectance of the combination of two multilayer vO~ Tx
subsystems ……………………………………………………………………....54 +qC [ X~\
1.4 The multilayer coatings optical properties: impact of variations in the layer =r7!QXPH}
parameters……………………………………………………………………………...58 /w (g: e
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… JcmJq
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ]7S f)
coefficients: probability assessment method ……………………….…………...63 bp= r ]nO
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter QDJ
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variations ………………………………………………………………………...66 s hH2/.>
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 -b HlFNRm
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 c3g` k"3*`
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 dgoAaS2M
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 .'<K$:8@|
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Q!V:=d
central wavelength ………………………………………………………………80 Mh5>
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 :=ek~s.UV
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 rz
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central E1OrL.A6
wavelength ………………………………………………………………………88 P@vUQ
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 BO G.[?yx
Chapter 2 ~o"=4q`>
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 :ZIa
2.1 Synthesis methods based on merit function optimization …………………………...98 Ue
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2.1.1 Merit function selection …………………………………………………………98 'k cR :5B
2.1.2 Merit function optimization ……………………………………………………101 "YgpgW
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ?<C(ga
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 oYZ
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2.2.1 Needle-like variations of the refractive index ………………………………….115 E(|A"=\
2.2.2 The principal idea of the method ………………………………………………119 fPUr O
2.2.3 Description of the method ……………………………………………………...124 j7kX"nz
Bibliography …...………………………………………….……………….………..……130
