Basics of OPTICS OF MULTILAYER SYSTEMS ,2q-D&)\Z
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Contents NJ <F >3
Preface……………………………………………………………………….………..……….4 n[z+<VGwC
Chapter 1 'NmRR]Q9
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 6'/ #+,d'
THEORY……………………………………………………………………………………….5 3$ pX
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 &pRREu:[4L
1.1.1 Layered medium electromagnetic field equations………………………………...5 gJXaPJA{
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 M-71 1|eGI
1.1.3 The Fresnel formulas ……………………………………………………………18 ]/Pn
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the 8=l%5r^cq
layered medium…………………………………………………………………..19 \e;iT\=.(
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 <YY 1 4p
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 u_enqC3
1.2.1 Matrix calculating method ………………………………………………………22 k:;r2 f
1.2.2 Description of optical coating and presentation of calculation results…………..28 ! mHO$bQ"
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 >A= f 1D F
1.2.4 Approximate formulas…………………………………………………………...33 }tz7b#
1.2.5 Other recurrent methods…………………………………………………………34 C _Dn{
1.2.6 The admittance phase plane……………………………………………………...38 ~Y;*u]^
1.3 Some common properties of multilayer coatings…………………………………….46 icgfB-1|i
1.3.1 The relation between the characteristic matrix and spectral coefficients of a _XBd3JN@
multilayer coating ……………………………………………………………….47
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 CTb%(<r
1.3.3 Transmittance and reflectance of the combination of two multilayer 5O% {{J
subsystems ……………………………………………………………………....54 aUp
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1.4 The multilayer coatings optical properties: impact of variations in the layer A"]YM'.
parameters……………………………………………………………………………...58 V`- 9m$
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… >7| VR:U?B
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral eFgA 8kY)
coefficients: probability assessment method ……………………….…………...63 3BI1fXT4=j
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter K0~rN.C!0
variations ………………………………………………………………………...66 It(_v
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 4 KiY6)
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 d N q$}
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 K1KreYlF
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 By |4 m
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Xvu(vA
central wavelength ………………………………………………………………80 3`g^
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 *@5 @,=d
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 a(nlTMfu
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 7.Op<
wavelength ………………………………………………………………………88 1zv'.uu.,
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 4RO}<$Nx}
Chapter 2 i5Gg f"![
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 la!~\wpa
2.1 Synthesis methods based on merit function optimization …………………………...98 9 *g Z-#
2.1.1 Merit function selection …………………………………………………………98 P
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2.1.2 Merit function optimization ……………………………………………………101 FrS]|=LJhX
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 M3\AY30L
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 o-5TC
2.2.1 Needle-like variations of the refractive index ………………………………….115 [, Gg^*umS
2.2.2 The principal idea of the method ………………………………………………119 ,+k\p5P
2.2.3 Description of the method ……………………………………………………...124 Y2AJ+
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Bibliography …...………………………………………….……………….………..……130
