Basics of OPTICS OF MULTILAYER SYSTEMS 2$)xpET
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Contents I\%a<
Preface……………………………………………………………………….………..……….4 `1AVw] k
Chapter 1 ~J :cod
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: I{e[Y_
THEORY……………………………………………………………………………………….5 CK<Wba
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 /i'dhiG
1.1.1 Layered medium electromagnetic field equations………………………………...5 FaNr}$Pe
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 381a(F[$e
1.1.3 The Fresnel formulas ……………………………………………………………18 R^DZ@[\iV
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 7+!4pf
layered medium…………………………………………………………………..19 {yo<19kV@
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 e XB'>#&s
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 _"b[U T}m
1.2.1 Matrix calculating method ………………………………………………………22 N-
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1.2.2 Description of optical coating and presentation of calculation results…………..28 :gD=F & V
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 p_^Jr* Mv
1.2.4 Approximate formulas…………………………………………………………...33 /$w,8pV =
1.2.5 Other recurrent methods…………………………………………………………34 yK1@`3@?
1.2.6 The admittance phase plane……………………………………………………...38 3`%]3qd}
1.3 Some common properties of multilayer coatings…………………………………….46 4=BIYC"Lu
1.3.1 The relation between the characteristic matrix and spectral coefficients of a >(>,*zP<9
multilayer coating ……………………………………………………………….47 re]e4lZ
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 .uo9V L<
1.3.3 Transmittance and reflectance of the combination of two multilayer : eL{&& 6
subsystems ……………………………………………………………………....54 +v!% z(
1.4 The multilayer coatings optical properties: impact of variations in the layer iJ&*H)}^
parameters……………………………………………………………………………...58 ~pv|
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… )=~OP>7B
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral O)bc8DyI
coefficients: probability assessment method ……………………….…………...63 IE^xk @
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter v[++"=<
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variations ………………………………………………………………………...66 }Kt`du=
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 V8Lp%*(3
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Mm&#I[:
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 G+?Z=A:T8
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 y\?T%g
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the T[M:%vjYF
central wavelength ………………………………………………………………80 apz) 4%A
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 |n*nByL/
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 %< ^IAMkp
1.6.1 Common expressions for spectral coefficients of filter-type systems near central Gr),o6}p
wavelength ………………………………………………………………………88 ZNHlq5
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 <"GgqyRzv
Chapter 2 mz[Q]e~&i
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 5_H`6-q
2.1 Synthesis methods based on merit function optimization …………………………...98 C\3;o]
2.1.1 Merit function selection …………………………………………………………98 q(Q$lRj/I-
2.1.2 Merit function optimization ……………………………………………………101 5 $58 z
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 '<Fr}Cn
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Em<B 9S
2.2.1 Needle-like variations of the refractive index ………………………………….115 IBT 1If3
2.2.2 The principal idea of the method ………………………………………………119 u~]O #v
2.2.3 Description of the method ……………………………………………………...124 D1ep7ykY
Bibliography …...………………………………………….……………….………..……130
