Basics of OPTICS OF MULTILAYER SYSTEMS ofl3G
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Contents [zIX&fPk$
Preface……………………………………………………………………….………..……….4 gKcP\ m
Chapter 1 "ji4 x y
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: }u5;YNmXxF
THEORY……………………………………………………………………………………….5 ^-P lTmT
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 w H~Q4)#=o
1.1.1 Layered medium electromagnetic field equations………………………………...5
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 +60zJ 4
1.1.3 The Fresnel formulas ……………………………………………………………18 "m ):"
1.1.4 Other ways of determining amplitude transmittance and reflectance of the n NZq`M
layered medium…………………………………………………………………..19 B +eB=KL
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 =&xamA)
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 S #%'Vrp
1.2.1 Matrix calculating method ………………………………………………………22 .Ff; St
1.2.2 Description of optical coating and presentation of calculation results…………..28 ?s #DD,
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 e2 UbeP
1.2.4 Approximate formulas…………………………………………………………...33 "EF: +gi#"
1.2.5 Other recurrent methods…………………………………………………………34 &G5+bUF,
1.2.6 The admittance phase plane……………………………………………………...38 J6_ H lt
1.3 Some common properties of multilayer coatings…………………………………….46 fXvJ3w(
1.3.1 The relation between the characteristic matrix and spectral coefficients of a +Vt@~Z4K
multilayer coating ……………………………………………………………….47 c'& 3[a a
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 8263
1.3.3 Transmittance and reflectance of the combination of two multilayer ${ad[hs
subsystems ……………………………………………………………………....54 37x2fnC
1.4 The multilayer coatings optical properties: impact of variations in the layer K &<bn22
parameters……………………………………………………………………………...58 IfeG"ua|
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… '81$8xxdY
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral lMB^/-Y
coefficients: probability assessment method ……………………….…………...63 ' wvZnb
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 1C^6' 9o
variations ………………………………………………………………………...66 DY^q_+[ V
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 8V`r*:\
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ;$&&tEh)
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 NtkEb :
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 6gY5v @!w
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the [G+M94[A
central wavelength ………………………………………………………………80 #?YQ&o~ gZ
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 cgc| G
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 thOQcOf0$
1.6.1 Common expressions for spectral coefficients of filter-type systems near central N-]h+Cnyu
wavelength ………………………………………………………………………88 &9, 6<bToP
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 QL"fC;xUn,
Chapter 2 iW+ZI6@
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 "X' s>uM
2.1 Synthesis methods based on merit function optimization …………………………...98 ;:vbOG#aSN
2.1.1 Merit function selection …………………………………………………………98 Tf
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2.1.2 Merit function optimization ……………………………………………………101 ,E$^i~OO
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 !h}x,=`z/
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 >1T=Aw2Z.
2.2.1 Needle-like variations of the refractive index ………………………………….115 ? Sj,HLo@U
2.2.2 The principal idea of the method ………………………………………………119 BC%t[H} >R
2.2.3 Description of the method ……………………………………………………...124 f}E oc>n
Bibliography …...………………………………………….……………….………..……130
