| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS U@5Z9 /n{
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Contents PQ"%Z.F"
Preface……………………………………………………………………….………..……….4 ~tu Fjj^
Chapter 1 8si^HEQ8
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 6%INNIyAWa
THEORY……………………………………………………………………………………….5 y /6LMAI
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Od]xIk+E
1.1.1 Layered medium electromagnetic field equations………………………………...5 AX RNV
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 xLK 0~|_#!
1.1.3 The Fresnel formulas ……………………………………………………………18 sLqvDH?V
1.1.4 Other ways of determining amplitude transmittance and reflectance of the tRBK1h
layered medium…………………………………………………………………..19 g 2<S4
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 jyH_/X5i7
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 h:sG23@ =
1.2.1 Matrix calculating method ………………………………………………………22 `80Hxp@
1.2.2 Description of optical coating and presentation of calculation results…………..28 iQ"F`C
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 `# 8R+c=$
1.2.4 Approximate formulas…………………………………………………………...33 &*GX:0=/>
1.2.5 Other recurrent methods…………………………………………………………34 X )s7_
1.2.6 The admittance phase plane……………………………………………………...38 \o)4m[oF
1.3 Some common properties of multilayer coatings…………………………………….46 :=eUNH
1.3.1 The relation between the characteristic matrix and spectral coefficients of a swL|Ff`$
multilayer coating ……………………………………………………………….47 K61os &K
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 'k Z1&_{
1.3.3 Transmittance and reflectance of the combination of two multilayer |bnjC $b *
subsystems ……………………………………………………………………....54 -Ep6 .v
1.4 The multilayer coatings optical properties: impact of variations in the layer i 4rF~'h@
parameters……………………………………………………………………………...58 NP*0WT_gB
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… (#M $t!'%
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ' t.F.t
coefficients: probability assessment method ……………………….…………...63 ZUW>{'[K
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter >D62l*V C)
variations ………………………………………………………………………...66 ]s AD5<;
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Vp{2Z9]}
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 oz@6 %3+
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 yE,o~O
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 695ppiKU
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ++"PPbOe&D
central wavelength ………………………………………………………………80 ?}
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 C~V$G}mM
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 j!7Uj ]
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 0*@S-Lj^c
wavelength ………………………………………………………………………88 v ed
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 {U-EBXV
Chapter 2 BmX Gk
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 L(8dK
2.1 Synthesis methods based on merit function optimization …………………………...98 ,`@|C
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2.1.1 Merit function selection …………………………………………………………98 Z"+!ayA7D
2.1.2 Merit function optimization ……………………………………………………101 cSk}53
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 MV \zwH
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 <5~>.DuE
2.2.1 Needle-like variations of the refractive index ………………………………….115 r'\TS U5!
2.2.2 The principal idea of the method ………………………………………………119 6|}mTG^
2.2.3 Description of the method ……………………………………………………...124 7*"LW
Bibliography …...………………………………………….……………….………..……130
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