Basics of OPTICS OF MULTILAYER SYSTEMS hr&UD| E=
|1<B(iB'{/
Contents 3+ C;zDKa
Preface……………………………………………………………………….………..……….4 ={p< |8`"
Chapter 1 Q/HEWk
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: l4I',79l
THEORY……………………………………………………………………………………….5 $fPiR
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 rc`I l{~k
1.1.1 Layered medium electromagnetic field equations………………………………...5 iP9Dr<P
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ;?-{Uk
1.1.3 The Fresnel formulas ……………………………………………………………18 p lzwk>b_
1.1.4 Other ways of determining amplitude transmittance and reflectance of the t`Xx\
layered medium…………………………………………………………………..19 UpiZd/K
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 @te} Asv
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 wSALK)T1{
1.2.1 Matrix calculating method ………………………………………………………22 QdD @[
1.2.2 Description of optical coating and presentation of calculation results…………..28 K)\D,5X^
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 daf -B-
1.2.4 Approximate formulas…………………………………………………………...33 `"xzC $
1.2.5 Other recurrent methods…………………………………………………………34 AO7X-,
1.2.6 The admittance phase plane……………………………………………………...38 zR=g<e1xe
1.3 Some common properties of multilayer coatings…………………………………….46 6Tq2WZ}<'
1.3.1 The relation between the characteristic matrix and spectral coefficients of a G he@m6|D
multilayer coating ……………………………………………………………….47
ILHn~d IC
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 l`:-B 'WM
1.3.3 Transmittance and reflectance of the combination of two multilayer kWbY&]ZO
subsystems ……………………………………………………………………....54 E*v+@rv
1.4 The multilayer coatings optical properties: impact of variations in the layer \ov]Rn
parameters……………………………………………………………………………...58 IJ{VCzi
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… bvJ*REPL ?
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Xi=4 S[.4
coefficients: probability assessment method ……………………….…………...63
y}W*P#BDO
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter a^&RV5o
variations ………………………………………………………………………...66 4LJOT_
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 eW_EWV H
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 (d[JMO^@8
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 6fT^t!< i
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 5 YiBPB")
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ,` $2
central wavelength ………………………………………………………………80 2%pe.s tQ
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 S2= x,c$
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 $K 1)2WG
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ?Xp+5{
wavelength ………………………………………………………………………88 )VG_Y9;Xk:
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 (Q|Y*yI
Chapter 2
Bf,}mCq
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 pTYV @5|
2.1 Synthesis methods based on merit function optimization …………………………...98 ;s-fYS6(>{
2.1.1 Merit function selection …………………………………………………………98 %1i *Y*wg
2.1.2 Merit function optimization ……………………………………………………101 b]W vKdq
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 u3PM 7z!~
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 t\ 9Y)d
2.2.1 Needle-like variations of the refractive index ………………………………….115 7{[i)
2.2.2 The principal idea of the method ………………………………………………119 <yKyM#4X
2.2.3 Description of the method ……………………………………………………...124 ZZ].h2= K
Bibliography …...………………………………………….……………….………..……130
