Basics of OPTICS OF MULTILAYER SYSTEMS u7/]Go44
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Contents L*#W?WMM
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Preface……………………………………………………………………….………..……….4 Ga]\~31NE
Chapter 1 GBY-WN4sc[
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: \[9^,Q P
THEORY……………………………………………………………………………………….5 ; Yve m
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 +\R__tx;
1.1.1 Layered medium electromagnetic field equations………………………………...5 J?9n4
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 w/f?KN
1.1.3 The Fresnel formulas ……………………………………………………………18 ]x(cX&S-9
1.1.4 Other ways of determining amplitude transmittance and reflectance of the =] fOQN`
layered medium…………………………………………………………………..19 =9 1w C
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 R>D [I.
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 9;7|MPbR
1.2.1 Matrix calculating method ………………………………………………………22 i5 0c N<o
1.2.2 Description of optical coating and presentation of calculation results…………..28 HO_!/4hrU
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ucYweXsO3
1.2.4 Approximate formulas…………………………………………………………...33 Ie]k/qw+ Y
1.2.5 Other recurrent methods…………………………………………………………34 O))YJh"'_
1.2.6 The admittance phase plane……………………………………………………...38 nw-%!}Ot"
1.3 Some common properties of multilayer coatings…………………………………….46 at+Nd K
1.3.1 The relation between the characteristic matrix and spectral coefficients of a HcQ)XJPK
multilayer coating ……………………………………………………………….47 G]n_RP $G
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 -# Ys67,4N
1.3.3 Transmittance and reflectance of the combination of two multilayer w9w=2 *
subsystems ……………………………………………………………………....54 &+]-e;[
1.4 The multilayer coatings optical properties: impact of variations in the layer 9$#@Oe8*
parameters……………………………………………………………………………...58 ,m Nd#
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Ih HKRb[
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Alk+MwjR
coefficients: probability assessment method ……………………….…………...63 {.] )' ~[U
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter L0)w~F
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variations ………………………………………………………………………...66 fuU
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 &` IJ55Z-)
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ^ 4Uk'T7V
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 #p<(2wN
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 xpJ=yx O
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the V-(*{/^"
central wavelength ………………………………………………………………80 R; ui
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 '=`af>Nc
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 wBJ|%mc3TA
1.6.1 Common expressions for spectral coefficients of filter-type systems near central y>X(GF^
wavelength ………………………………………………………………………88 +|--}iE5n
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 P(UY}oU
Chapter 2 Q?bCQZ{-Lh
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 B7wzF"
2.1 Synthesis methods based on merit function optimization …………………………...98 dZY|6
2.1.1 Merit function selection …………………………………………………………98 H)h$@14xu
2.1.2 Merit function optimization ……………………………………………………101 Ob/i_
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 + K s 3
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 cw,|,uXq
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2.2.1 Needle-like variations of the refractive index ………………………………….115 { "2Hv;x
2.2.2 The principal idea of the method ………………………………………………119 <TTBIXV
2.2.3 Description of the method ……………………………………………………...124 AyNpY_B0c
Bibliography …...………………………………………….……………….………..……130
