Basics of OPTICS OF MULTILAYER SYSTEMS #'G7mAoA
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Contents =DmPPl{
Preface……………………………………………………………………….………..……….4 /Gh
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Chapter 1 EA%#/ n
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 6I5[^fv45G
THEORY……………………………………………………………………………………….5 JW Uv H
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 @@&@}IQcR1
1.1.1 Layered medium electromagnetic field equations………………………………...5 vMW -gk
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 z$8e6 *
1.1.3 The Fresnel formulas ……………………………………………………………18 }R(0[0NQe-
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ^=-*L
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layered medium…………………………………………………………………..19 >ji}j~cH
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 |2+F I<v4
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 dH2j*G Ij
1.2.1 Matrix calculating method ………………………………………………………22 Z7KB?1{G
1.2.2 Description of optical coating and presentation of calculation results…………..28 V;[ __w
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 2S7H_qo$
1.2.4 Approximate formulas…………………………………………………………...33 7Dx .;
1.2.5 Other recurrent methods…………………………………………………………34 .L Gkr@P
1.2.6 The admittance phase plane……………………………………………………...38 >gS5[`xRE
1.3 Some common properties of multilayer coatings…………………………………….46 ]VHdE _7)
1.3.1 The relation between the characteristic matrix and spectral coefficients of a +i q+
multilayer coating ……………………………………………………………….47 |+$j( YuH
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ~3* ZG
1.3.3 Transmittance and reflectance of the combination of two multilayer 9^C!,A{u4
subsystems ……………………………………………………………………....54 ~ YT>:Np
1.4 The multilayer coatings optical properties: impact of variations in the layer &a2V-|G',
parameters……………………………………………………………………………...58 ,pGCgOG#}c
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… )n3bi QL_
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral f Dm}J
coefficients: probability assessment method ……………………….…………...63 B 3,ig9
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ?Ss RN jeL
variations ………………………………………………………………………...66 oN1wrf}Sh
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 {ZBb. $}RC
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 zvQ^f@lq2
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 d@q t%r3;
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 61eKGcjs:
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the |]2eGrGj4
central wavelength ………………………………………………………………80 fi-&[llg
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 d= T9mj.@
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 )lngef
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central MCW G*~f
wavelength ………………………………………………………………………88 XR=c
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 }mT%N eS
Chapter 2 "`1of8$X7
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ~M9 n <kmE
2.1 Synthesis methods based on merit function optimization …………………………...98 ,[K) E
2.1.1 Merit function selection …………………………………………………………98 W<Vz d4hR
2.1.2 Merit function optimization ……………………………………………………101 )1tnZ=&
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 WY. \<$ 7
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 h z~CW-47
2.2.1 Needle-like variations of the refractive index ………………………………….115 S;AnpiBM8
2.2.2 The principal idea of the method ………………………………………………119 ^2?O+ =,F
2.2.3 Description of the method ……………………………………………………...124 /xm} ?t0U
Bibliography …...………………………………………….……………….………..……130
