Basics of OPTICS OF MULTILAYER SYSTEMS *U1*/Q.
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Contents FvT4?7-
Preface……………………………………………………………………….………..……….4 %0-oZL
Chapter 1 $ Lstq_x+
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: SSF:PTeG>
THEORY……………………………………………………………………………………….5 H>/,Re
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 0BC @w V
1.1.1 Layered medium electromagnetic field equations………………………………...5 1/9*c *w
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 #-B<u-
1.1.3 The Fresnel formulas ……………………………………………………………18 0OHX g=
1.1.4 Other ways of determining amplitude transmittance and reflectance of the D=a*Xu2zq
layered medium…………………………………………………………………..19 P}Ig6^[m\
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 g&g:H H :
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 viG= Ap.Th
1.2.1 Matrix calculating method ………………………………………………………22 W@AHE?s6g
1.2.2 Description of optical coating and presentation of calculation results…………..28 h/\v+xiF
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 VjWJx^ZL#
1.2.4 Approximate formulas…………………………………………………………...33 . vKgiIC:
1.2.5 Other recurrent methods…………………………………………………………34 /9ORVV
1.2.6 The admittance phase plane……………………………………………………...38 HHx:s2G
1.3 Some common properties of multilayer coatings…………………………………….46 M#^q
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1.3.1 The relation between the characteristic matrix and spectral coefficients of a 9mD dX
multilayer coating ……………………………………………………………….47 @M\JzV4 A[
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ]#M"|iTR
1.3.3 Transmittance and reflectance of the combination of two multilayer \5 }PF+)|
subsystems ……………………………………………………………………....54 [ 6VM4l"
1.4 The multilayer coatings optical properties: impact of variations in the layer c_qox
parameters……………………………………………………………………………...58 ^IiA(?8
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 28^/By:J
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral h{mzYy} b
coefficients: probability assessment method ……………………….…………...63 l)$mpMgAD
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 5]*lH t
variations ………………………………………………………………………...66 Byj fPb#
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 A/=cGE
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 (Yj6 |`
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 DH .`
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ! =21K0~t#
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the +iN! $zF5]
central wavelength ………………………………………………………………80 )q'dX+4=eL
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 {@KLN<
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 qsp3G7\'=
1.6.1 Common expressions for spectral coefficients of filter-type systems near central [Uk cG9
wavelength ………………………………………………………………………88 ~W>{Dd(J_
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 0i[t[_sce
Chapter 2 \&vXp" -@
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 %GjG.11V,_
2.1 Synthesis methods based on merit function optimization …………………………...98 fAStM:
2.1.1 Merit function selection …………………………………………………………98 a'` i#U
2.1.2 Merit function optimization ……………………………………………………101 60 ~*$`
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 umP nw
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ^'Lp<YJs6
2.2.1 Needle-like variations of the refractive index ………………………………….115 CxaI @+
2.2.2 The principal idea of the method ………………………………………………119 7V=deYt_p
2.2.3 Description of the method ……………………………………………………...124 rs4:jS$)
Bibliography …...………………………………………….……………….………..……130
