Basics of OPTICS OF MULTILAYER SYSTEMS -r7*C :E
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Contents 2Gd.B/L6
Preface……………………………………………………………………….………..……….4 To.CY^M
Chapter 1 W{ <_gD9
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: _SY4Q s`d
THEORY……………………………………………………………………………………….5 R5(<:]
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 VyK[*k yN
1.1.1 Layered medium electromagnetic field equations………………………………...5 fYBmW')
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 {1Z8cV
1.1.3 The Fresnel formulas ……………………………………………………………18 U iO%y
1.1.4 Other ways of determining amplitude transmittance and reflectance of the PRg^E 4
layered medium…………………………………………………………………..19 YBehyx2eK
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 Dk[m)]w\
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 kr[p4X4
1.2.1 Matrix calculating method ………………………………………………………22 ihS;q6ln
1.2.2 Description of optical coating and presentation of calculation results…………..28 L )p*D(
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ` 83s97Sa
1.2.4 Approximate formulas…………………………………………………………...33 yPs4S?<s
1.2.5 Other recurrent methods…………………………………………………………34 5[suwaJQ
1.2.6 The admittance phase plane……………………………………………………...38 F%M4i`Vh
1.3 Some common properties of multilayer coatings…………………………………….46 2iO AUo+
1.3.1 The relation between the characteristic matrix and spectral coefficients of a FxeDjAP
multilayer coating ……………………………………………………………….47
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 o`,|{ K$H
1.3.3 Transmittance and reflectance of the combination of two multilayer |*W_
subsystems ……………………………………………………………………....54 E{'{fo!#)
1.4 The multilayer coatings optical properties: impact of variations in the layer bk^W]<:z`
parameters……………………………………………………………………………...58 1j"_@?H[
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… dNK Q&TC
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 3 c #oK
coefficients: probability assessment method ……………………….…………...63 iZm#
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter B8_)I.
variations ………………………………………………………………………...66 rKxIOJ ,T
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 s F-{ (
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 nK[T.?Nz
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 e1ts/@V
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 _sLSl; /t
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the x \0( l5>
central wavelength ………………………………………………………………80 DD5 S
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 3*INDD=
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ,6T F]6:
1.6.1 Common expressions for spectral coefficients of filter-type systems near central c$fi 3O
wavelength ………………………………………………………………………88 G4O
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 CWKN0HB
Chapter 2 dZ^(e0& :H
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 o^ Z/~N
2.1 Synthesis methods based on merit function optimization …………………………...98 }#'I,?_k
2.1.1 Merit function selection …………………………………………………………98 "wwAbU<
2.1.2 Merit function optimization ……………………………………………………101 kHMD 5Q
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 =T7lv%u
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Jz u U
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2.2.1 Needle-like variations of the refractive index ………………………………….115 /1D]\k()
2.2.2 The principal idea of the method ………………………………………………119 q-?
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2.2.3 Description of the method ……………………………………………………...124 n`v;S>aT
Bibliography …...………………………………………….……………….………..……130
