Basics of OPTICS OF MULTILAYER SYSTEMS t gI{`jS%
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Contents au:
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Preface……………………………………………………………………….………..……….4 1g8_Xe4
Chapter 1 =8AO:
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: '
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THEORY……………………………………………………………………………………….5 4T|b
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 7z JRJ*NB
1.1.1 Layered medium electromagnetic field equations………………………………...5 <>y;.@}Q
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 hT`J1nNt
1.1.3 The Fresnel formulas ……………………………………………………………18 /:~\5}tW
1.1.4 Other ways of determining amplitude transmittance and reflectance of the
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layered medium…………………………………………………………………..19 a{^m-fSaR"
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 h YPl&^
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 X[]m _@ v
1.2.1 Matrix calculating method ………………………………………………………22 2Rw&C6("w
1.2.2 Description of optical coating and presentation of calculation results…………..28 [^Os kJ4
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 %b&". mN
1.2.4 Approximate formulas…………………………………………………………...33 uwzvb gup?
1.2.5 Other recurrent methods…………………………………………………………34 :W!7mna
1.2.6 The admittance phase plane……………………………………………………...38 5na~@-9p
1.3 Some common properties of multilayer coatings…………………………………….46 C'\-
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1.3.1 The relation between the characteristic matrix and spectral coefficients of a JD)(oK%C
multilayer coating ……………………………………………………………….47 ^t` k0<
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 zM bN;t u
1.3.3 Transmittance and reflectance of the combination of two multilayer { MtpkUN
subsystems ……………………………………………………………………....54 sqEI4~514
1.4 The multilayer coatings optical properties: impact of variations in the layer sGy eb5c
parameters……………………………………………………………………………...58 0 h#l JS*
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… LJd5;so-
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral qkt0**\
coefficients: probability assessment method ……………………….…………...63 cii_U=
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Yw4n-0g
variations ………………………………………………………………………...66 ~ zHjMo2
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 x2OaPlG,&V
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 <;vbsksZeH
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 x'+ T/zw
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 'n{N vt.c
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 1C< uz29
central wavelength ………………………………………………………………80 0H6(EzN
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 13 =A
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 SX<` {x&L
1.6.1 Common expressions for spectral coefficients of filter-type systems near central wT;0w3.Z
wavelength ………………………………………………………………………88 2/vMoVT,
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 XG}C+;4Aw
Chapter 2 M9!HQ
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 o C< . =2]
2.1 Synthesis methods based on merit function optimization …………………………...98 C`$n[kCJ
2.1.1 Merit function selection …………………………………………………………98 4]yOF_8h
2.1.2 Merit function optimization ……………………………………………………101 v4u5yy_;(
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 3vuivU.3
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Mm xlp .l
2.2.1 Needle-like variations of the refractive index ………………………………….115 tX 5"U QA
2.2.2 The principal idea of the method ………………………………………………119 k`So -e-
2.2.3 Description of the method ……………………………………………………...124 Jy)KqdkX+
Bibliography …...………………………………………….……………….………..……130
