Basics of OPTICS OF MULTILAYER SYSTEMS &_d/ciq1f
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Contents _1<'"u#6w
Preface……………………………………………………………………….………..……….4 xwnoZ&h
Chapter 1 1Xr"h:U_X
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: t*d >eK`:N
THEORY……………………………………………………………………………………….5 ]<T8ZA_Y;
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 hNnX-^J<o
1.1.1 Layered medium electromagnetic field equations………………………………...5 x
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 EB5_;
1.1.3 The Fresnel formulas ……………………………………………………………18 rLh9`0|D
1.1.4 Other ways of determining amplitude transmittance and reflectance of the <;cE/W}}
layered medium…………………………………………………………………..19 yv)nW::D(
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 0sDwTb"
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ,LW+7yD
1.2.1 Matrix calculating method ………………………………………………………22 c~UAr k S
1.2.2 Description of optical coating and presentation of calculation results…………..28 D2</^]3Su
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 iv:/g|MBI&
1.2.4 Approximate formulas…………………………………………………………...33 z5` 8G =A
1.2.5 Other recurrent methods…………………………………………………………34 x8?x/xE
1.2.6 The admittance phase plane……………………………………………………...38 eR-=<0Iw;
1.3 Some common properties of multilayer coatings…………………………………….46 4 su_;+]
1.3.1 The relation between the characteristic matrix and spectral coefficients of a pEVgJ />
multilayer coating ……………………………………………………………….47 Ah>gC!F^
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 b"nG-0JR
1.3.3 Transmittance and reflectance of the combination of two multilayer oU0
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subsystems ……………………………………………………………………....54 H 5rPq_R
1.4 The multilayer coatings optical properties: impact of variations in the layer M6]0Y@@>
parameters……………………………………………………………………………...58 ~sU?"V
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… /Y[o=Uyl
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral NdsX*o@a
coefficients: probability assessment method ……………………….…………...63 aLKMDiT
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter J4G> E.8
variations ………………………………………………………………………...66 DVl[t8K!
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 3X$Q ,
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 qsihQ d
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ^+.t-3|U
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 =0h|yjnL/
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the t0e{| du
central wavelength ………………………………………………………………80 [Iw>|q <e
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 @1v 3-n=
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 x^)g'16 `
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 0AK?{y U
wavelength ………………………………………………………………………88 dXiE.Si
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 EK?@Z.q+
Chapter 2 RQ^m6)BTo
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 _k_>aG23
2.1 Synthesis methods based on merit function optimization …………………………...98 )C>}"#J >
2.1.1 Merit function selection …………………………………………………………98 > 'aG /(
2.1.2 Merit function optimization ……………………………………………………101 =Y &9
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2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 BFMS*t`
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 * %X6F~h(u
2.2.1 Needle-like variations of the refractive index ………………………………….115 VyecTU"W
2.2.2 The principal idea of the method ………………………………………………119 q]"2hLq
2.2.3 Description of the method ……………………………………………………...124 B;z;vrrL
Bibliography …...………………………………………….……………….………..……130
