Basics of OPTICS OF MULTILAYER SYSTEMS yWr &G@>G
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Contents ma"M? aM
Preface……………………………………………………………………….………..……….4 M.C`nI4
Chapter 1 !9j6l 0
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: c^5fhmlt
THEORY……………………………………………………………………………………….5 <\d2)I v
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 c]ga) A(
1.1.1 Layered medium electromagnetic field equations………………………………...5 <YCR^?hJSi
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 V warU(*
1.1.3 The Fresnel formulas ……………………………………………………………18 =OKUSHu@V
1.1.4 Other ways of determining amplitude transmittance and reflectance of the W4h ]4X
layered medium…………………………………………………………………..19 87KSV"IU8
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 `;m0GU68
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 '}F9f?
1.2.1 Matrix calculating method ………………………………………………………22 M[_Ptqjb
1.2.2 Description of optical coating and presentation of calculation results…………..28 xq%BR[1
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Us>
1.2.4 Approximate formulas…………………………………………………………...33 ogya~ /
1.2.5 Other recurrent methods…………………………………………………………34 hWbjA[a/
1.2.6 The admittance phase plane……………………………………………………...38 B\;fC's+
1.3 Some common properties of multilayer coatings…………………………………….46 f.R;<V.)
1.3.1 The relation between the characteristic matrix and spectral coefficients of a !yK rA|w1
multilayer coating ……………………………………………………………….47 F^=y+}]=
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 90wnwz
1.3.3 Transmittance and reflectance of the combination of two multilayer Xq cNFSo)
subsystems ……………………………………………………………………....54 jd`]]FAww
1.4 The multilayer coatings optical properties: impact of variations in the layer 7EL0!:P p3
parameters……………………………………………………………………………...58 CdtwR0
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… y e| 2gH
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Y&i&H=U
coefficients: probability assessment method ……………………….…………...63 NpA%7Q~B$,
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter G B6(WAmr
variations ………………………………………………………………………...66 |Y2n6gkH[
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Y`xAJ#=
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 li} >xDSQ4
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 GzT?I
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 /[q_f
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the +bWo{
central wavelength ………………………………………………………………80 1O90 ]c0
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 H;Fz Wcm
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 `_J>R
1.6.1 Common expressions for spectral coefficients of filter-type systems near central M IU B]
wavelength ………………………………………………………………………88 KXu1%`x=%Z
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 #vPk
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Chapter 2 v6T<K)S
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 !~-@sq
2.1 Synthesis methods based on merit function optimization …………………………...98 @DAaCF8
2.1.1 Merit function selection …………………………………………………………98 b 1Ba}
2.1.2 Merit function optimization ……………………………………………………101 C"h7'+Kw
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 j~hvPlho
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 H\|H]: CE
2.2.1 Needle-like variations of the refractive index ………………………………….115 u$ ^r(.EV
2.2.2 The principal idea of the method ………………………………………………119 ~ y ?v
2.2.3 Description of the method ……………………………………………………...124 op_
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Bibliography …...………………………………………….……………….………..……130
