Basics of OPTICS OF MULTILAYER SYSTEMS [R$liN99z;
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Contents j>g9\i0O1
Preface……………………………………………………………………….………..……….4 "
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Chapter 1 |>[X<>m
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ~{Ua92zV9
THEORY……………………………………………………………………………………….5 [sptU3,2U
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 v5gQ9
1.1.1 Layered medium electromagnetic field equations………………………………...5 L`JY 4JM"
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 0 Sz/c+ 6
1.1.3 The Fresnel formulas ……………………………………………………………18 tpd|y|
1.1.4 Other ways of determining amplitude transmittance and reflectance of the T)O]:v
layered medium…………………………………………………………………..19 kz|[*%10
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 Z_!9iA:X
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 .1%i`+uZ
1.2.1 Matrix calculating method ………………………………………………………22 cG5$l B
1.2.2 Description of optical coating and presentation of calculation results…………..28 X[Y #+z4
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 o+R. u} |
1.2.4 Approximate formulas…………………………………………………………...33 &,Uc>L%m
1.2.5 Other recurrent methods…………………………………………………………34 > d)|r
1.2.6 The admittance phase plane……………………………………………………...38 1URT2$2p
1.3 Some common properties of multilayer coatings…………………………………….46 [ y$j9
1.3.1 The relation between the characteristic matrix and spectral coefficients of a r}Q@VS% %
multilayer coating ……………………………………………………………….47 }" g@E-]N
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 hiT9H5 6 >
1.3.3 Transmittance and reflectance of the combination of two multilayer cRPr9LfD@
subsystems ……………………………………………………………………....54 (2 mS v
1.4 The multilayer coatings optical properties: impact of variations in the layer UfO'. 8*v
parameters……………………………………………………………………………...58 %{c2lyw
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… H?ieNXP7{
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 8g&uE*7N
coefficients: probability assessment method ……………………….…………...63 _GRv
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter b<48#Qy~l
variations ………………………………………………………………………...66 #0xm3rFy4
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ;Ce 2d+K
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 >hh"IfIZ4
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 xU: PhhS
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 I(F1S,7
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the `<bCq\+`
central wavelength ………………………………………………………………80 vBV"i9n
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ?m`R%>X"
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 d8 3+6d
1.6.1 Common expressions for spectral coefficients of filter-type systems near central VK"[=l
wavelength ………………………………………………………………………88 06Sqn3MB
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 >f3k3XWRT
Chapter 2 BZ8h*|uT"
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 (%=lq#,
2.1 Synthesis methods based on merit function optimization …………………………...98 <%T%NjNPQ
2.1.1 Merit function selection …………………………………………………………98 zkw0jX~
2.1.2 Merit function optimization ……………………………………………………101 |J @|
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 <PH3gyC
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 P1vF{ e
2.2.1 Needle-like variations of the refractive index ………………………………….115 u9 da]*\7y
2.2.2 The principal idea of the method ………………………………………………119 Au%Wrk3j
2.2.3 Description of the method ……………………………………………………...124 $=QNGC2+
Bibliography …...………………………………………….……………….………..……130
