Basics of OPTICS OF MULTILAYER SYSTEMS 5 b,|6
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Contents agruS'c g
Preface……………………………………………………………………….………..……….4 @;y@Hf'Jv
Chapter 1 XDyo=A]
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: /F|VYl^_
THEORY……………………………………………………………………………………….5 nra)t|m
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 <4@8T7
1.1.1 Layered medium electromagnetic field equations………………………………...5 L\bc R
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 m]Qs
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1.1.3 The Fresnel formulas ……………………………………………………………18 Ly2!(,FB.
1.1.4 Other ways of determining amplitude transmittance and reflectance of the WD[jEWMV7D
layered medium…………………………………………………………………..19 m MWhUr
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 P\{s C6E
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 7PUy`H,&
1.2.1 Matrix calculating method ………………………………………………………22 s`[V{1m ,
1.2.2 Description of optical coating and presentation of calculation results…………..28 I 0 x;rP
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ` l'QAIo
1.2.4 Approximate formulas…………………………………………………………...33 O7.eq524
1.2.5 Other recurrent methods…………………………………………………………34 ~ oq.y n/1
1.2.6 The admittance phase plane……………………………………………………...38 :M`~9MCRf
1.3 Some common properties of multilayer coatings…………………………………….46 l g ,%
1.3.1 The relation between the characteristic matrix and spectral coefficients of a fk1d iB
multilayer coating ……………………………………………………………….47 ,+C?UW
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 mF4OLG 3L0
1.3.3 Transmittance and reflectance of the combination of two multilayer *u,xBC2C
subsystems ……………………………………………………………………....54 :=!6w
1.4 The multilayer coatings optical properties: impact of variations in the layer >XRf=
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parameters……………………………………………………………………………...58 ~ q/~ u
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Nr)DU.f
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral +u5xK
coefficients: probability assessment method ……………………….…………...63 xdaq` ^Bbt
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter =JP Y{'V O
variations ………………………………………………………………………...66 ] ]}iSw'
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 'Ce?!U O
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 $ rbr&TJ
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 KiE'O{Y
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 v6! `H
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the v"%> ms"n
central wavelength ………………………………………………………………80 (sH4 T>
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 (6[/ 7e)
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 h. 4#C}> )
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ~+Cl9:4T
wavelength ………………………………………………………………………88 **Akp V)
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 s 9+lC!!
Chapter 2 LtKR15h,
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 n ? =O@yq
2.1 Synthesis methods based on merit function optimization …………………………...98 Qn- nO_JL
2.1.1 Merit function selection …………………………………………………………98 j!;E>`g
2.1.2 Merit function optimization ……………………………………………………101 $ER$|9)KD
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 jG}nOI
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 oz|+{b}%
2.2.1 Needle-like variations of the refractive index ………………………………….115 9q&~!>lt
2.2.2 The principal idea of the method ………………………………………………119 WHLTJ]OB
2.2.3 Description of the method ……………………………………………………...124 %=s2>vv9
Bibliography …...………………………………………….……………….………..……130
