Basics of OPTICS OF MULTILAYER SYSTEMS 42 lw>gzr!
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Contents 3#dz6 +
Preface……………………………………………………………………….………..……….4 v7KBYN
Chapter 1 + WMXd.iN,
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: \f(zMP
THEORY……………………………………………………………………………………….5 -LUZ7,!/>o
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 i$6rnS&C
1.1.1 Layered medium electromagnetic field equations………………………………...5 oA7DhU5n
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 1i~q~ O,
1.1.3 The Fresnel formulas ……………………………………………………………18 2\z|/
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the vxC];nCC#
layered medium…………………………………………………………………..19 <rK[ &JlJ
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 }+pwSjsno
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 5XB]p|YU~s
1.2.1 Matrix calculating method ………………………………………………………22 >JsVIfAF
1.2.2 Description of optical coating and presentation of calculation results…………..28 MusUgBQy
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 A/UO cl+N
1.2.4 Approximate formulas…………………………………………………………...33 7qUg~GJX
1.2.5 Other recurrent methods…………………………………………………………34 9s[
1.2.6 The admittance phase plane……………………………………………………...38
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1.3 Some common properties of multilayer coatings…………………………………….46 <Lxp t
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ) `'a1y|
multilayer coating ……………………………………………………………….47 vWM&4|Q1~
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 AH/o-$C&
1.3.3 Transmittance and reflectance of the combination of two multilayer r6 3l(
subsystems ……………………………………………………………………....54 TlkhI
1.4 The multilayer coatings optical properties: impact of variations in the layer /!?Tv8TPp
parameters……………………………………………………………………………...58 jn ztCNaX
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ,]: < l
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral \#) YS
coefficients: probability assessment method ……………………….…………...63 kBrA ?
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter W#NZnxOX"
variations ………………………………………………………………………...66 )8#-IXxp
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 _a& Z$2O
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ]a&riPh"
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 c*E7nc)u
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 _b -g^#L%
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the `5wiXsNjLY
central wavelength ………………………………………………………………80 n w`rH*
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 fi A8W
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 _/}$X"4
1.6.1 Common expressions for spectral coefficients of filter-type systems near central Je NX 5bXW
wavelength ………………………………………………………………………88 d-e/0F!
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 H' /V<%
Chapter 2 f" *4R
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 71P. 9Iz
2.1 Synthesis methods based on merit function optimization …………………………...98 J(/J;PW
2.1.1 Merit function selection …………………………………………………………98 YLA(hg|
2.1.2 Merit function optimization ……………………………………………………101 JU5,\3Lz#
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 u t4:LHF
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 $!9/s S?
2.2.1 Needle-like variations of the refractive index ………………………………….115
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2.2.2 The principal idea of the method ………………………………………………119 2}/r>]9^-
2.2.3 Description of the method ……………………………………………………...124 Vq`/]&
Bibliography …...………………………………………….……………….………..……130
