| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS 7Op>i,HZk\
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Contents OGl}-kw
Preface……………………………………………………………………….………..……….4 ?32&]iM
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Chapter 1 +~p88;
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 9iQq.$A .
THEORY……………………………………………………………………………………….5 A*\.NT M
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 (JOgy .5C~
1.1.1 Layered medium electromagnetic field equations………………………………...5 Tc? $>'
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 BI%$c~wS
1.1.3 The Fresnel formulas ……………………………………………………………18 .:F%_dS D
1.1.4 Other ways of determining amplitude transmittance and reflectance of the $| @
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layered medium…………………………………………………………………..19 cPlZXf
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 Y^wW2-,m
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 MDn ua
1.2.1 Matrix calculating method ………………………………………………………22 = %TWX[w
1.2.2 Description of optical coating and presentation of calculation results…………..28 1G^`-ri 6
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 [_EZhq
1.2.4 Approximate formulas…………………………………………………………...33 V@g'#= {r
1.2.5 Other recurrent methods…………………………………………………………34 k5'Vy8q
1.2.6 The admittance phase plane……………………………………………………...38 vg32y /l]S
1.3 Some common properties of multilayer coatings…………………………………….46 sBT2j~jhJ
1.3.1 The relation between the characteristic matrix and spectral coefficients of a (@fHl=! Za
multilayer coating ……………………………………………………………….47 z7fp#>uw
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 AP 2_MV4W
1.3.3 Transmittance and reflectance of the combination of two multilayer 9y"@(
subsystems ……………………………………………………………………....54 iv J@=pd)B
1.4 The multilayer coatings optical properties: impact of variations in the layer 8;JWK3Gv
parameters……………………………………………………………………………...58 n{ar gI8wF
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… x??+~$}\*-
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral -cAo@}v
coefficients: probability assessment method ……………………….…………...63 YJT&{jYi
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter \@c, 3
variations ………………………………………………………………………...66 2K/4 Rf0;
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 _-K2 /6zy
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 KJ)k =mJ
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 3YOq2pW72G
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 TrEu'yxy8*
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the C)ERUH2i
central wavelength ………………………………………………………………80 }C"%p8=HM
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 /
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 z]_wjYn Z
1.6.1 Common expressions for spectral coefficients of filter-type systems near central $9_xGfx}
wavelength ………………………………………………………………………88 *a v<E
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ; F"g$_D0
Chapter 2 -b9\=U[
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 *v !9MU9[(
2.1 Synthesis methods based on merit function optimization …………………………...98 rr],DGg+B]
2.1.1 Merit function selection …………………………………………………………98 /[
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2.1.2 Merit function optimization ……………………………………………………101 61C7.EZZ;
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 } HYbS8 '
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 PR#exm&
2.2.1 Needle-like variations of the refractive index ………………………………….115 #wwH m3
2.2.2 The principal idea of the method ………………………………………………119 {HltvO%8
2.2.3 Description of the method ……………………………………………………...124 'CM|@ Zz%
Bibliography …...………………………………………….……………….………..……130
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