Basics of OPTICS OF MULTILAYER SYSTEMS NAnccB D!{
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Contents 4eh~/o&h
Preface……………………………………………………………………….………..……….4 s ~Xa=_+D
Chapter 1 :@=;WB*0
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: k __MYb
THEORY……………………………………………………………………………………….5 }s>.Fh
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 A&8{0
1.1.1 Layered medium electromagnetic field equations………………………………...5 _=*ph0nu
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 a|u&N:v7B
1.1.3 The Fresnel formulas ……………………………………………………………18 ab/^z0GT
1.1.4 Other ways of determining amplitude transmittance and reflectance of the >$ok3-tuU
layered medium…………………………………………………………………..19 iI
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 Kx<T;iJ}
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 )o[Jxu'
1.2.1 Matrix calculating method ………………………………………………………22 *ke9/hO1i
1.2.2 Description of optical coating and presentation of calculation results…………..28 wSGW_{;-
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 .`;
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1.2.4 Approximate formulas…………………………………………………………...33 6vL+qOd x
1.2.5 Other recurrent methods…………………………………………………………34 A."]6R<
1.2.6 The admittance phase plane……………………………………………………...38 E|`JmfLQu
1.3 Some common properties of multilayer coatings…………………………………….46 T^F9A55y
1.3.1 The relation between the characteristic matrix and spectral coefficients of a R'e>YDC
multilayer coating ……………………………………………………………….47
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 yG~7Xo5
1.3.3 Transmittance and reflectance of the combination of two multilayer >M-ZjT>
subsystems ……………………………………………………………………....54 ~V`F5B
1.4 The multilayer coatings optical properties: impact of variations in the layer |w)S
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parameters……………………………………………………………………………...58 |(Q !$
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… \'[C_+;X
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral c'Mi9,q
coefficients: probability assessment method ……………………….…………...63 'v?"TZ
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter z!>
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variations ………………………………………………………………………...66 JrA\ V=K
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 }g]O_fN7~
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Du7DMo=l
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 x |0@T ?
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 %!HBPLk
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Ph Ep3o&"
central wavelength ………………………………………………………………80 _4lhwKYU
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 "(cMCBVYdA
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 `k.Nphx~%
1.6.1 Common expressions for spectral coefficients of filter-type systems near central fJ8Q\lb<_
wavelength ………………………………………………………………………88 s^6"qhTa
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 oe,37xa4
Chapter 2 gT8% ?U:
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 -!JnyD
2.1 Synthesis methods based on merit function optimization …………………………...98 VHlo}Ek<#
2.1.1 Merit function selection …………………………………………………………98 /~nPPC
2.1.2 Merit function optimization ……………………………………………………101 ?jy6%Y#,i
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 XeRbn
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 DuzJQSv
2.2.1 Needle-like variations of the refractive index ………………………………….115 ,LpG E>s
2.2.2 The principal idea of the method ………………………………………………119 ZlEH3-Zv
2.2.3 Description of the method ……………………………………………………...124 eT<T[; m
Bibliography …...………………………………………….……………….………..……130