Basics of OPTICS OF MULTILAYER SYSTEMS h4 s!VK1X
!dVth)UV
Contents m
4Vh R_
Preface……………………………………………………………………….………..……….4 h-Q 3q:
Chapter 1 '1[}PmhD
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: NX^%a1D!
THEORY……………………………………………………………………………………….5 x>^r%<WbX
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 7 ZbnG@s7
1.1.1 Layered medium electromagnetic field equations………………………………...5 ;=I Gl:
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 VemgG)\
1.1.3 The Fresnel formulas ……………………………………………………………18 LO ,G2]
1.1.4 Other ways of determining amplitude transmittance and reflectance of the W[]N.d7G
layered medium…………………………………………………………………..19 }>\+eG
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 XAV|xlfm
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 .6yC' 3~;o
1.2.1 Matrix calculating method ………………………………………………………22 iD)R*vnAi
1.2.2 Description of optical coating and presentation of calculation results…………..28 MX-(;H
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 mJaWzR
1.2.4 Approximate formulas…………………………………………………………...33 w1-/U+0o
1.2.5 Other recurrent methods…………………………………………………………34 H[ DrG6GA
1.2.6 The admittance phase plane……………………………………………………...38 ,[ rh7 _
1.3 Some common properties of multilayer coatings…………………………………….46 ~G!>2 +L
1.3.1 The relation between the characteristic matrix and spectral coefficients of a $\xS~ w
multilayer coating ……………………………………………………………….47 ]~:9b[G2
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 f>Mg.9gJ(
1.3.3 Transmittance and reflectance of the combination of two multilayer D S,"^K
subsystems ……………………………………………………………………....54 }4PIpDL
1.4 The multilayer coatings optical properties: impact of variations in the layer
5gV%jQgkC
parameters……………………………………………………………………………...58 -v *wT*I1
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Nj
N g=q
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 8v7;{4^
coefficients: probability assessment method ……………………….…………...63 V&x6ru#
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter }VlX!/42
variations ………………………………………………………………………...66 /=9t$u|
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68
}xcEWC\
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 {c|=L@/
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 .` z](s
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 #WD} XOA
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the s)dN.'5/
central wavelength ………………………………………………………………80 \ vVGfG?6
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 S&jZYq**
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 A ^YHtJ
1.6.1 Common expressions for spectral coefficients of filter-type systems near central <QGf9{ m
wavelength ………………………………………………………………………88 v%(2l|M
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 +~Ni7Dp]
Chapter 2 9*gD;) !
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 aZGX`;3
2.1 Synthesis methods based on merit function optimization …………………………...98 #M;Cw}p W
2.1.1 Merit function selection …………………………………………………………98 }R#YO $J7
2.1.2 Merit function optimization ……………………………………………………101 <S'5` -&
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 u 9Wi@sO#
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 1*{` .
2.2.1 Needle-like variations of the refractive index ………………………………….115 KUG\C\z6=
2.2.2 The principal idea of the method ………………………………………………119 Ti`H ?9t
2.2.3 Description of the method ……………………………………………………...124 './j<2|;U
Bibliography …...………………………………………….……………….………..……130
