Basics of OPTICS OF MULTILAYER SYSTEMS `KZu/r-M9
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Contents P 5.@LN
Preface……………………………………………………………………….………..……….4 _SkiO }c8
Chapter 1 hAs ReZ ?
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: /N#=Tol
THEORY……………………………………………………………………………………….5 wR,}#m,
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 BLAF{vVaf
1.1.1 Layered medium electromagnetic field equations………………………………...5 ^j@+!A_.Q
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 abv *X 1
1.1.3 The Fresnel formulas ……………………………………………………………18 Z>l|R C
1.1.4 Other ways of determining amplitude transmittance and reflectance of the A xeQv' e
layered medium…………………………………………………………………..19 |b hv7(_
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 {|<yZ, ,p
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 gW<4E=fl
1.2.1 Matrix calculating method ………………………………………………………22 B`||4*
1.2.2 Description of optical coating and presentation of calculation results…………..28 L)4~:f)B
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ~0[(-4MA
1.2.4 Approximate formulas…………………………………………………………...33 |~#A ?mK-
1.2.5 Other recurrent methods…………………………………………………………34 l *{Bz5hc
1.2.6 The admittance phase plane……………………………………………………...38 X,Rl&K\ b"
1.3 Some common properties of multilayer coatings…………………………………….46 SurreD<x
1.3.1 The relation between the characteristic matrix and spectral coefficients of a JH u>\{ 8V
multilayer coating ……………………………………………………………….47 0FLCN!i1
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 @eDs)mY
1.3.3 Transmittance and reflectance of the combination of two multilayer f96`n+>x i
subsystems ……………………………………………………………………....54 9_4(} |"N|
1.4 The multilayer coatings optical properties: impact of variations in the layer 6Q J .=.>b
parameters……………………………………………………………………………...58 =qbN?a/?2
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… L8H:, } 2
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral FS=LpvOG)
coefficients: probability assessment method ……………………….…………...63 & [ 'L7
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter EZ zR"W/
variations ………………………………………………………………………...66 5%4yUd#b
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 BsL+9lNue
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 NpCQ4 K
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 on"ENT
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 O} (sn
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the U|{ 4=[
central wavelength ………………………………………………………………80 Jw #7b[a
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 bBV03_*
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 J}+N\V~
1.6.1 Common expressions for spectral coefficients of filter-type systems near central "q1S.3V;
wavelength ………………………………………………………………………88 Om;aE1sW
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 U bGnU_}
Chapter 2 N-t"CBTO
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 kM[!UOnC!<
2.1 Synthesis methods based on merit function optimization …………………………...98 |@ d} O8
2.1.1 Merit function selection …………………………………………………………98 +IWf~|s
2.1.2 Merit function optimization ……………………………………………………101 3aB E[
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 q @~{ g[
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 *4LRdLMn
2.2.1 Needle-like variations of the refractive index ………………………………….115 B2* 7H
2.2.2 The principal idea of the method ………………………………………………119 iq?T&44&
2.2.3 Description of the method ……………………………………………………...124 Z_edNf }|
Bibliography …...………………………………………….……………….………..……130
