Basics of OPTICS OF MULTILAYER SYSTEMS %VCHM GP=
qM'5cxe
Contents "-
AiC6u
Preface……………………………………………………………………….………..……….4 Sj\8$QIXC
Chapter 1 L `6`NYR
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: } 2KuY\5\i
THEORY……………………………………………………………………………………….5 umk[\}Ip+P
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Flsf5 Tr0
1.1.1 Layered medium electromagnetic field equations………………………………...5 wbTw\b=
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Em;zi.Y+V
1.1.3 The Fresnel formulas ……………………………………………………………18 LvS`
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 6Y=)12T
layered medium…………………………………………………………………..19 1QThA FN
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 idHBz*3~ps
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 \O56!,k
1.2.1 Matrix calculating method ………………………………………………………22 /1YqDK0
1.2.2 Description of optical coating and presentation of calculation results…………..28 I?gbu@ o
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 &12.|
1.2.4 Approximate formulas…………………………………………………………...33 yfj<P/aA+
1.2.5 Other recurrent methods…………………………………………………………34 R b'"09)$
1.2.6 The admittance phase plane……………………………………………………...38 ?(Nls.c
1.3 Some common properties of multilayer coatings…………………………………….46 ; tO (,^
1.3.1 The relation between the characteristic matrix and spectral coefficients of a tq{
aa
multilayer coating ……………………………………………………………….47 MOXDR
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 Z i^&x6y^
1.3.3 Transmittance and reflectance of the combination of two multilayer (sY?"(~j?T
subsystems ……………………………………………………………………....54 3vx?x39*Y
1.4 The multilayer coatings optical properties: impact of variations in the layer /IODRso/!
parameters……………………………………………………………………………...58 "!2 Fy-Y
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… l78zS'
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral dI3U*:$X
coefficients: probability assessment method ……………………….…………...63 EI' (
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter f5AK@]4G
variations ………………………………………………………………………...66 )]'?yS"
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 (V*ggii@
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 tR1
kn&w
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 H 13|bM<
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Wcbb3N$+
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the fn)c&|aCt
central wavelength ………………………………………………………………80 m 8.sH w
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ^J?I-LG
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 M%Ov6u<I8
1.6.1 Common expressions for spectral coefficients of filter-type systems near central c8A
//
wavelength ………………………………………………………………………88 q m2
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 uk16
Chapter 2 VHJOj
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 g9g^zd,
2.1 Synthesis methods based on merit function optimization …………………………...98 ,JX/` 7y
2.1.1 Merit function selection …………………………………………………………98 VB\oK\F5z
2.1.2 Merit function optimization ……………………………………………………101 F4@``20|
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 XDU&Z2A
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 |nIm$ p'
2.2.1 Needle-like variations of the refractive index ………………………………….115 s/8>(-H#
2.2.2 The principal idea of the method ………………………………………………119 y8VLFe;
2.2.3 Description of the method ……………………………………………………...124 d
n3sh<
Bibliography …...………………………………………….……………….………..……130
