| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS aL&egM* P#!gP3 Contents hwe6@T.# Preface……………………………………………………………………….………..……….4 ._]Pz6 Chapter 1 \Q}Y"oq SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 'JdK0w# THEORY……………………………………………………………………………………….5 K7JZUS`C! 1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ZaY|v- 1.1.1 Layered medium electromagnetic field equations………………………………...5 R|)l^~x 1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 p>?(uGV 1.1.3 The Fresnel formulas ……………………………………………………………18 ydO G8EI 1.1.4 Other ways of determining amplitude transmittance and reflectance of the )_j(NX-C: layered medium…………………………………………………………………..19 `.~S/$a.& 1.1.5 Transmittance, reflectance and absorptance …………………………………….20 s92ol0` 1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 3p HI+a 1.2.1 Matrix calculating method ………………………………………………………22 1@'I eywg 1.2.2 Description of optical coating and presentation of calculation results…………..28 ~Y~M}4 1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Y{dX[^[ 1.2.4 Approximate formulas…………………………………………………………...33 hTEb?1CXU 1.2.5 Other recurrent methods…………………………………………………………34 &Lzd*}7 1.2.6 The admittance phase plane……………………………………………………...38 "eTALRL'o 1.3 Some common properties of multilayer coatings…………………………………….46 %4M,f.[e 1.3.1 The relation between the characteristic matrix and spectral coefficients of a ;?iu@h multilayer coating ……………………………………………………………….47 }L|B@fW 1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 9\Ff z& 1.3.3 Transmittance and reflectance of the combination of two multilayer T<Y*();Zo subsystems ……………………………………………………………………....54 W-r^ME 1.4 The multilayer coatings optical properties: impact of variations in the layer 5-fASN.Lx parameters……………………………………………………………………………...58 5o4KV?" 1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… IOxtuR 1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 29G el coefficients: probability assessment method ……………………….…………...63 `q^qe> ' 1.4.3 Multilayer coating spectral properties: influence of separate layer parameter g.62XZF@ variations ………………………………………………………………………...66 58HAl_8W 1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 KfVsnL_ 1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 hfbu+w): 1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 D{7^y>8_Y- 1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 {y5 L 1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the !9r%d8!z central wavelength ………………………………………………………………80 "R)n1,0 1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 y?r`[{L(lA 1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 xuqG)HthRS 1.6.1 Common expressions for spectral coefficients of filter-type systems near central KCZ<#ca^ wavelength ………………………………………………………………………88 MK
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 b[:m[^ Chapter 2 dJrUcZBr SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 rZB='(? 2.1 Synthesis methods based on merit function optimization …………………………...98 r~QE}00@^ 2.1.1 Merit function selection …………………………………………………………98 ^%Y-~yB- 2.1.2 Merit function optimization ……………………………………………………101 i E;F=Rb 2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 862rol 2.2 Synthesis method based on the needle-like variations of the refractive index ……114 4|cRYZj5 2.2.1 Needle-like variations of the refractive index ………………………………….115 `wj' 2.2.2 The principal idea of the method ………………………………………………119 AH'3
5Kf) 2.2.3 Description of the method ……………………………………………………...124 TT3GGHR Bibliography …...………………………………………….……………….………..……130
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