Basics of OPTICS OF MULTILAYER SYSTEMS EA) K"C
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Contents W!MO }0s
Preface……………………………………………………………………….………..……….4 _vr> -:G
Chapter 1 C5"=%v[gQv
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: $t}t'uJ
THEORY……………………………………………………………………………………….5 YEqZ(( H
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Q+YYj
1.1.1 Layered medium electromagnetic field equations………………………………...5 o-H\vtOjE
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 _[SW8 9zk
1.1.3 The Fresnel formulas ……………………………………………………………18 gn4+$ f~w
1.1.4 Other ways of determining amplitude transmittance and reflectance of the *.q m+#8W
layered medium…………………………………………………………………..19 Y- e sD'MD
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 > PH in%#
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 lXso@TNrZ0
1.2.1 Matrix calculating method ………………………………………………………22 K8,Q^!5]"
1.2.2 Description of optical coating and presentation of calculation results…………..28 bh
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1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Hwiw:lPq`E
1.2.4 Approximate formulas…………………………………………………………...33 ,}?x!3
1.2.5 Other recurrent methods…………………………………………………………34 '~{bq'7`m
1.2.6 The admittance phase plane……………………………………………………...38 V 'alzw7#
1.3 Some common properties of multilayer coatings…………………………………….46 l/ufu[x!a
1.3.1 The relation between the characteristic matrix and spectral coefficients of a J'4Pp<
multilayer coating ……………………………………………………………….47 I5Vp%mCY
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 8725ET
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1.3.3 Transmittance and reflectance of the combination of two multilayer _[IOPHa"
subsystems ……………………………………………………………………....54 O1xK\ogv
1.4 The multilayer coatings optical properties: impact of variations in the layer v{tw ;Z#
parameters……………………………………………………………………………...58 g4z*6L,u
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 7\.{O$Q
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ^6g^ Q* "
coefficients: probability assessment method ……………………….…………...63 J; 8M. _
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter :Q]P=-Y8
variations ………………………………………………………………………...66 cCa+UT xaJ
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 FglW|Hwy
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 (+aU ,EQ
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 aq,Ab~V]
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 L"[2[p
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the JO[7_*s
central wavelength ………………………………………………………………80 |tn.ZEgw3~
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 WtS5i7:<Y
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 1/\JJ\
1.6.1 Common expressions for spectral coefficients of filter-type systems near central }aSTo"~m#
wavelength ………………………………………………………………………88 s]X0}"cz
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 <b>g^ `}?D
Chapter 2 HAKB@h)
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 8@rddk
2.1 Synthesis methods based on merit function optimization …………………………...98 t nvCtuaR
2.1.1 Merit function selection …………………………………………………………98 r{mj[N'@
2.1.2 Merit function optimization ……………………………………………………101 H;w8[ImK
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 G1tua"Px
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 2e_ m >I
2.2.1 Needle-like variations of the refractive index ………………………………….115 ]Y; 5U
2.2.2 The principal idea of the method ………………………………………………119 ){}1u ?
2.2.3 Description of the method ……………………………………………………...124 9@3cz_[J
Bibliography …...………………………………………….……………….………..……130
