Basics of OPTICS OF MULTILAYER SYSTEMS X!2/cgU7
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Preface……………………………………………………………………….………..……….4 &Y;z[ +(P
Chapter 1 ;]3Tuq
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 6 :K~w<mMJ
THEORY……………………………………………………………………………………….5 'KMyaEh.u
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ~v$gk
1.1.1 Layered medium electromagnetic field equations………………………………...5 i|0H {q
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 m*tmmP4R
1.1.3 The Fresnel formulas ……………………………………………………………18 s
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the @[D-2s
layered medium…………………………………………………………………..19 ~rN~Ql%S
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 LGGC=;{}
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 &uI`Xq.
1.2.1 Matrix calculating method ………………………………………………………22 dWwh?{n
1.2.2 Description of optical coating and presentation of calculation results…………..28 id8a #&t]
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 x>m_ v
1.2.4 Approximate formulas…………………………………………………………...33 |T uk9d4]
1.2.5 Other recurrent methods…………………………………………………………34 MQ9 9fD$
1.2.6 The admittance phase plane……………………………………………………...38 (0g@Z `r
1.3 Some common properties of multilayer coatings…………………………………….46 tbrjTeC
1.3.1 The relation between the characteristic matrix and spectral coefficients of a J)D/w[w
multilayer coating ……………………………………………………………….47 ?u{y[pI6
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 lPFT)>(+@
1.3.3 Transmittance and reflectance of the combination of two multilayer zFmoo4P/
subsystems ……………………………………………………………………....54 /xj^TyWM
1.4 The multilayer coatings optical properties: impact of variations in the layer l 3bo
parameters……………………………………………………………………………...58 T B~C4H K=
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… vG` R.
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral U@ x5cw:
coefficients: probability assessment method ……………………….…………...63 Xs$k6C3
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter s|.V:%9e
variations ………………………………………………………………………...66 H@GiH e j
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 q|0 Lu
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 k;/U6,LQ*
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 P#]% C
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 z )I.^
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the U@yn%k9
central wavelength ………………………………………………………………80 Vi[* a
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 PB*m D7"
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 `?{i dg
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ORHs1/L`j
wavelength ………………………………………………………………………88 Xn^gxOPM
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 J=|PZ2"
Chapter 2 Z;`ts/?SY]
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 >u?pq6;
2.1 Synthesis methods based on merit function optimization …………………………...98 2'UWPZgE
2.1.1 Merit function selection …………………………………………………………98 PMC5qQ%x
2.1.2 Merit function optimization ……………………………………………………101 *J,VvO 9
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 J@Z IW%5
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 PRcW}"m]Qg
2.2.1 Needle-like variations of the refractive index ………………………………….115 \tH^w@j47
2.2.2 The principal idea of the method ………………………………………………119 2&7:JM~#
2.2.3 Description of the method ……………………………………………………...124 ")LcB' C
Bibliography …...………………………………………….……………….………..……130
