Basics of OPTICS OF MULTILAYER SYSTEMS X{b qG]j
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Contents gdyP,zMD7
Preface……………………………………………………………………….………..……….4 ^ G(GjW8
Chapter 1 MUU9IMFJ
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: &B5@\Hd;
THEORY……………………………………………………………………………………….5 9hIcnPu
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ) mMHwLDwH
1.1.1 Layered medium electromagnetic field equations………………………………...5 RA~ %Cw4t
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 $^4URH
1.1.3 The Fresnel formulas ……………………………………………………………18 U.HeIJ#
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 7ehs+GI
layered medium…………………………………………………………………..19 !`%3?}mv,
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 Y!|* `FII
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 C@i4[g){
1.2.1 Matrix calculating method ………………………………………………………22
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1.2.2 Description of optical coating and presentation of calculation results…………..28 Q+UqLass
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 -h<Rby
1.2.4 Approximate formulas…………………………………………………………...33 2qD80W<1
1.2.5 Other recurrent methods…………………………………………………………34 P I0[
1.2.6 The admittance phase plane……………………………………………………...38
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1.3 Some common properties of multilayer coatings…………………………………….46 F&om^ G'U
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Cp 2$I<T
multilayer coating ……………………………………………………………….47 }+8w
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 H,H=y},
1.3.3 Transmittance and reflectance of the combination of two multilayer [LJ1wBMw
subsystems ……………………………………………………………………....54 `:XrpD
1.4 The multilayer coatings optical properties: impact of variations in the layer #{8n< sE
parameters……………………………………………………………………………...58 Z
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 3tlA! e
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral LL1HDG >l
coefficients: probability assessment method ……………………….…………...63 ]"<
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter UlN+
variations ………………………………………………………………………...66 < e
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 {$ghf"
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 7VdG6`TDR
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 i|5 K4Puu
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 > ^b6\
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the W/m,qilQI
central wavelength ………………………………………………………………80 ' bpx
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 pZ, P_?
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Nn],sEs
1.6.1 Common expressions for spectral coefficients of filter-type systems near central "&ElKy
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wavelength ………………………………………………………………………88 jz_\B(m9%
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 9
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Chapter 2 hi I`ot
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 9oL/oL-J/
2.1 Synthesis methods based on merit function optimization …………………………...98 G#&R/Tc5N
2.1.1 Merit function selection …………………………………………………………98 ?>V4pgGCE
2.1.2 Merit function optimization ……………………………………………………101 5X5 &(S \
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 IZV D.1
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 09{B6l6P
2.2.1 Needle-like variations of the refractive index ………………………………….115 i-' rS/R
2.2.2 The principal idea of the method ………………………………………………119 R&BbXSIDX
2.2.3 Description of the method ……………………………………………………...124 85<zl|ZD
Bibliography …...………………………………………….……………….………..……130
