Basics of OPTICS OF MULTILAYER SYSTEMS r}Gku0Hu_E
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Contents O}2/w2n
Preface……………………………………………………………………….………..……….4 `(P71T
Chapter 1 [ybK
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: gcO$ T`
THEORY……………………………………………………………………………………….5 *V +,X
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 \UM&|yk:
1.1.1 Layered medium electromagnetic field equations………………………………...5 )Spa
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 <} c7E3Uc
1.1.3 The Fresnel formulas ……………………………………………………………18 (Jj xrZ+L
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 }y J,&N'p
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 SdML O6-
1.2.1 Matrix calculating method ………………………………………………………22 -U LgVGYKK
1.2.2 Description of optical coating and presentation of calculation results…………..28 z?kE((Ey
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 '"LaaTTs
1.2.4 Approximate formulas…………………………………………………………...33 8WpNlB+:{
1.2.5 Other recurrent methods…………………………………………………………34 +;pw^QB
1.2.6 The admittance phase plane……………………………………………………...38 (Nd)$Oq[4
1.3 Some common properties of multilayer coatings…………………………………….46 + !nf?5;
1.3.1 The relation between the characteristic matrix and spectral coefficients of a vgg)f~
multilayer coating ……………………………………………………………….47 =`N 0
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 \`2EfYJ{
1.3.3 Transmittance and reflectance of the combination of two multilayer iYw1{U
subsystems ……………………………………………………………………....54 1;{nU.If
1.4 The multilayer coatings optical properties: impact of variations in the layer G-]<+-Q$4
parameters……………………………………………………………………………...58 QK #qW-49O
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ux6)K= ]
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral qx*b\6Rt
coefficients: probability assessment method ……………………….…………...63 QG
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 60e{]}Z
variations ………………………………………………………………………...66 '0_W< lGB
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Zn Rj}y
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Ky8,HdAq
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 )S`Yl;o L
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 CO@ kLI
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the nG?Z* n
central wavelength ………………………………………………………………80 Yy`A0v
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 CQ Ei(ty
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 o"P )(;
1.6.1 Common expressions for spectral coefficients of filter-type systems near central IeA/<'U s
wavelength ………………………………………………………………………88 V,[[# a)y
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 "qZTgCOY2
Chapter 2 7`)RB hGB
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 xH,e$t#@@~
2.1 Synthesis methods based on merit function optimization …………………………...98 b`DPlQHj
2.1.1 Merit function selection …………………………………………………………98 > hGB
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2.1.2 Merit function optimization ……………………………………………………101 I )r6*|mz
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 %X%f0J
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 }"%mP 4]&
2.2.1 Needle-like variations of the refractive index ………………………………….115 gF2 93Ez
2.2.2 The principal idea of the method ………………………………………………119 d#ab"&$bv
2.2.3 Description of the method ……………………………………………………...124 z
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Bibliography …...………………………………………….……………….………..……130
