Basics of OPTICS OF MULTILAYER SYSTEMS 4if\5 P:j
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Contents z Lw(@&
Preface……………………………………………………………………….………..……….4 Bac| ;+L~L
Chapter 1 6sy,A~e
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: >~wu3q
THEORY……………………………………………………………………………………….5 'M -)Os "
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 c(&AnIlS
1.1.1 Layered medium electromagnetic field equations………………………………...5 |*1xrM:v~
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 R8ZD#,;
1.1.3 The Fresnel formulas ……………………………………………………………18
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the D 2$ ^ "
layered medium…………………………………………………………………..19 mtX31 M4
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ?RJdn]`4j
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 oX {@'B
1.2.1 Matrix calculating method ………………………………………………………22 ^XNw$@&',
1.2.2 Description of optical coating and presentation of calculation results…………..28 Z9f/-|r5
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Y{j7Q4{
1.2.4 Approximate formulas…………………………………………………………...33 e# <4/FR
1.2.5 Other recurrent methods…………………………………………………………34 ]CIe~q
1.2.6 The admittance phase plane……………………………………………………...38 L6x B`E9
1.3 Some common properties of multilayer coatings…………………………………….46 cqjl5UB
1.3.1 The relation between the characteristic matrix and spectral coefficients of a t)!V + Qcb
multilayer coating ……………………………………………………………….47 K4Y' B
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 )*W=GY*
1.3.3 Transmittance and reflectance of the combination of two multilayer bq: [ Nj
subsystems ……………………………………………………………………....54 p9Z ].5Pd"
1.4 The multilayer coatings optical properties: impact of variations in the layer $r):d
parameters……………………………………………………………………………...58 ?(>k,[n
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… HoL~j( {
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral z6 a,0&;-L
coefficients: probability assessment method ……………………….…………...63 ~W3 :xnBEk
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter FvAb h]/4
variations ………………………………………………………………………...66 '(T mV#3
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 BPh" .R J
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 -EVs@:3]j
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 eX@ v7i,}
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 @ "0uM?_)-
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the fw:7U %MGv
central wavelength ………………………………………………………………80 6UO$z- e
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 L7<+LA)s0
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 V&g)m.d:n
1.6.1 Common expressions for spectral coefficients of filter-type systems near central S7Znz @
wavelength ………………………………………………………………………88 , !r@9T
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 9lKRL'QR
Chapter 2 Y}S.37|+^
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 'V1!&Q 6
2.1 Synthesis methods based on merit function optimization …………………………...98 X 8i[fk1.R
2.1.1 Merit function selection …………………………………………………………98 hRa\1Jt>a
2.1.2 Merit function optimization ……………………………………………………101 =pyVn_dg
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 k?< i*;7
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ?P%|P
2.2.1 Needle-like variations of the refractive index ………………………………….115 ]W+)ee|D
2.2.2 The principal idea of the method ………………………………………………119 El {r$-}
2.2.3 Description of the method ……………………………………………………...124 > n1h ^AW
Bibliography …...………………………………………….……………….………..……130
