Basics of OPTICS OF MULTILAYER SYSTEMS E:ocx2dp
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Contents 69u"/7X
Preface……………………………………………………………………….………..……….4 )]5}d$83
Chapter 1 O9]+ Jd4W
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: '`Iuf\
THEORY……………………………………………………………………………………….5 o@K K/f
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 5m&Zq_Q e
1.1.1 Layered medium electromagnetic field equations………………………………...5 l>O~^41[
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 )R'~{;z }
1.1.3 The Fresnel formulas ……………………………………………………………18 B @8
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the rSvQarT
layered medium…………………………………………………………………..19 Th)Z?\8zk
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 \4OX]{
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 pT` oC&
1.2.1 Matrix calculating method ………………………………………………………22 aM|^t:
1.2.2 Description of optical coating and presentation of calculation results…………..28 YCd[ s[
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 r t[w
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1.2.4 Approximate formulas…………………………………………………………...33 u:f.g?!`"
1.2.5 Other recurrent methods…………………………………………………………34 Wc+)EX~KS
1.2.6 The admittance phase plane……………………………………………………...38 9vZD ?6D,n
1.3 Some common properties of multilayer coatings…………………………………….46 g",htYoEnj
1.3.1 The relation between the characteristic matrix and spectral coefficients of a F"<TV&xf
multilayer coating ……………………………………………………………….47 Q5H!
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 9I; d>%
1.3.3 Transmittance and reflectance of the combination of two multilayer o1 kY|cnGH
subsystems ……………………………………………………………………....54 =
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1.4 The multilayer coatings optical properties: impact of variations in the layer vC9Qe
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parameters……………………………………………………………………………...58 5dE@ePO[/9
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Xo:!U=m/#
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ; L458fYs
coefficients: probability assessment method ……………………….…………...63 ]%L?b-e
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter
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variations ………………………………………………………………………...66 ?(4E le
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 9=J+5V^qD<
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 $R2iSu{kO
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 eZMDt B
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ;5bzXW#U
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the .A. VOf_
central wavelength ………………………………………………………………80 +I {ZW}rA
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 %9!, PeRe
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ^"e|)4_5\
1.6.1 Common expressions for spectral coefficients of filter-type systems near central NM;0@ o
wavelength ………………………………………………………………………88 .MzVc42<
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 '*~_!lE5
Chapter 2 5DEK`#*
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 AUm"^-@x#>
2.1 Synthesis methods based on merit function optimization …………………………...98 4iD-jM_D
2.1.1 Merit function selection …………………………………………………………98 &]'{N69@d?
2.1.2 Merit function optimization ……………………………………………………101 75+#)hNa!P
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 SCCBTpmf2B
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 2|KgRk|!
2.2.1 Needle-like variations of the refractive index ………………………………….115 NT6OGBl&
2.2.2 The principal idea of the method ………………………………………………119 s^@?+<4:
2.2.3 Description of the method ……………………………………………………...124 ok"v`76~f5
Bibliography …...………………………………………….……………….………..……130
