Basics of OPTICS OF MULTILAYER SYSTEMS ^T|~L<A3
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Contents w#,C{6
Preface……………………………………………………………………….………..……….4 I(Yyg,1Z
Chapter 1 [ nlW}1)46
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: FiqcM-Af4
THEORY……………………………………………………………………………………….5 fW4N +2
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Pw '3ya8
1.1.1 Layered medium electromagnetic field equations………………………………...5 # -Ts]4v
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Xu:S h <:R
1.1.3 The Fresnel formulas ……………………………………………………………18 ;[@<
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the xGeRoW(X
layered medium…………………………………………………………………..19 pemb2HQ'4j
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 P-QZ=dm
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 {e?D 6`#x
1.2.1 Matrix calculating method ………………………………………………………22 b#^UP
1.2.2 Description of optical coating and presentation of calculation results…………..28 K/jC>4/c/
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 GKwm %A
1.2.4 Approximate formulas…………………………………………………………...33 |L4K#
1.2.5 Other recurrent methods…………………………………………………………34 i9oi}$;J
1.2.6 The admittance phase plane……………………………………………………...38 iVt6rX
1.3 Some common properties of multilayer coatings…………………………………….46 T0Q)}%L
1.3.1 The relation between the characteristic matrix and spectral coefficients of a >_]j{}~\k
multilayer coating ……………………………………………………………….47 D EL#MD!
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 xS`>[8?3<T
1.3.3 Transmittance and reflectance of the combination of two multilayer ]`&ws
subsystems ……………………………………………………………………....54 n ||/3-HDj
1.4 The multilayer coatings optical properties: impact of variations in the layer oToUpkAI
parameters……………………………………………………………………………...58 oxb #{o9G
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 0p_/eWww-
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Q%(LMq4UG
coefficients: probability assessment method ……………………….…………...63 .3&zP
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter `|;R}"R;
variations ………………………………………………………………………...66 &/4W1=>(
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 hX]vZR&R
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 5TV Dt
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 n9Z|69W6>
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 -V k+zEht
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the _.OajE\T
central wavelength ………………………………………………………………80 Z| Z447_
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ~w' M8(
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 b&Qj`j4]ZM
1.6.1 Common expressions for spectral coefficients of filter-type systems near central s3W )hU)
wavelength ………………………………………………………………………88 Qj?FUxw
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 DGTSk9iK(
Chapter 2 k#% BxT
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 E[>4 b7{g:
2.1 Synthesis methods based on merit function optimization …………………………...98 Zycu3%JI
2.1.1 Merit function selection …………………………………………………………98 Ym5q#f)|
2.1.2 Merit function optimization ……………………………………………………101 _U)DL=a'
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ,K8O<Mw8
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 i3*S`/]p
2.2.1 Needle-like variations of the refractive index ………………………………….115 ^ Pf FW
2.2.2 The principal idea of the method ………………………………………………119 ` a5$VV%J
2.2.3 Description of the method ……………………………………………………...124 ]n0kO&
Bibliography …...………………………………………….……………….………..……130
