Basics of OPTICS OF MULTILAYER SYSTEMS to9X2^
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Preface……………………………………………………………………….………..……….4 `;
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Chapter 1 PenkqDc}
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: R4_BP5+
THEORY……………………………………………………………………………………….5 Mg~62 u
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 |S6L[Uo
1.1.1 Layered medium electromagnetic field equations………………………………...5 zhZ!!b^6<
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 H |%'$oWp
1.1.3 The Fresnel formulas ……………………………………………………………18 dBm!`;r4
1.1.4 Other ways of determining amplitude transmittance and reflectance of the uqHI /4
layered medium…………………………………………………………………..19 1xTNrLW
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 BA IR!
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 gmUX
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1.2.1 Matrix calculating method ………………………………………………………22 g 0-~ %A,
1.2.2 Description of optical coating and presentation of calculation results…………..28 <SKzCp\
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ?B3 2,AS@
1.2.4 Approximate formulas…………………………………………………………...33 ugV/#v O
1.2.5 Other recurrent methods…………………………………………………………34 [QDM_ n
1.2.6 The admittance phase plane……………………………………………………...38 "}Oj N\
1.3 Some common properties of multilayer coatings…………………………………….46 9,jFQb(),
1.3.1 The relation between the characteristic matrix and spectral coefficients of a o_C]O"
multilayer coating ……………………………………………………………….47 Y3.^a5 o
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51
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1.3.3 Transmittance and reflectance of the combination of two multilayer "'3QKeM 1
subsystems ……………………………………………………………………....54 ) :V F^"
1.4 The multilayer coatings optical properties: impact of variations in the layer 2n3!p Z8
parameters……………………………………………………………………………...58
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… " ?=$(7uc
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Gd Vrl[
coefficients: probability assessment method ……………………….…………...63
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter qFE(H1hy
variations ………………………………………………………………………...66 Pi5($cn
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 =m-nv XD
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 &HBC9 Bx/(
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 dZ kj|Ua~
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the duV\Kt/g^
central wavelength ………………………………………………………………80 |hD)=sCj
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 D Q. ; 2W
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ne|N!!Dmk
1.6.1 Common expressions for spectral coefficients of filter-type systems near central
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wavelength ………………………………………………………………………88 ! B/5@P
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 % 7A?gY81
Chapter 2 HhB& vi
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ==npFjB
2.1 Synthesis methods based on merit function optimization …………………………...98 "ph[)/u;
2.1.1 Merit function selection …………………………………………………………98 ~o27~R ]
2.1.2 Merit function optimization ……………………………………………………101 xM:9XhH1
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 :yFmCLZaQ
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 5ajd$t
2.2.1 Needle-like variations of the refractive index ………………………………….115 =`g@6S
2.2.2 The principal idea of the method ………………………………………………119 WelB"L
2.2.3 Description of the method ……………………………………………………...124 ! i8'gq'q
Bibliography …...………………………………………….……………….………..……130
