Basics of OPTICS OF MULTILAYER SYSTEMS 0
#;
s{7k
*wl_8Sis}
Contents <}>-ip?
Preface……………………………………………………………………….………..……….4 RR {9
Chapter 1 lk'jBl%
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: -BH'.9uqGQ
THEORY……………………………………………………………………………………….5 X7!A(q+h
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 #3jZ7RqzQ
1.1.1 Layered medium electromagnetic field equations………………………………...5 d`*vJ#$> 2
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 zT 40,rk
1.1.3 The Fresnel formulas ……………………………………………………………18 ,tc]E45
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ol>=tk 8}
layered medium…………………………………………………………………..19 4p g(QeR
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 h.%Qn vL
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 nr%^:u
1.2.1 Matrix calculating method ………………………………………………………22 z@LP9+?dE
1.2.2 Description of optical coating and presentation of calculation results…………..28 1Ee>p bd
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 O$ oN 1
1.2.4 Approximate formulas…………………………………………………………...33 eNKdub
1.2.5 Other recurrent methods…………………………………………………………34 dTNgrW`4
1.2.6 The admittance phase plane……………………………………………………...38 $ O>MV
1.3 Some common properties of multilayer coatings…………………………………….46 m=y)i]=1
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 2Nszxvq,
multilayer coating ……………………………………………………………….47 z>q_]U0
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 pfIvBU ?
1.3.3 Transmittance and reflectance of the combination of two multilayer jtJU 5Q
subsystems ……………………………………………………………………....54 s7gf7 E#Y
1.4 The multilayer coatings optical properties: impact of variations in the layer +1A<kJ
parameters……………………………………………………………………………...58 Lg53
Ms%
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… }6(:OB?
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral P,], N)
coefficients: probability assessment method ……………………….…………...63 lK SI5d
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter pEP.^[
variations ………………………………………………………………………...66 3<SC`6'?
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 7m$/. \5
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 &0blHDMj{#
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ;#Nci%<J\
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 =1uI >[aN
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Y`Rf E
central wavelength ………………………………………………………………80 >l[N]CQ
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 `hhG^ O_
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 z[Qv }pv
1.6.1 Common expressions for spectral coefficients of filter-type systems near central an$h~}/6:
wavelength ………………………………………………………………………88 a&PZ7!PZv
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 s mNr%}_g
Chapter 2 8g dOQ=a
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 A ` 8If
2.1 Synthesis methods based on merit function optimization …………………………...98 Tj#XsD?J
2.1.1 Merit function selection …………………………………………………………98 Gj?q+-d!(5
2.1.2 Merit function optimization ……………………………………………………101 #,pLVt<
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 y%AJ>@/;
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 D[ ?|\?
2.2.1 Needle-like variations of the refractive index ………………………………….115 O*7~t17
2.2.2 The principal idea of the method ………………………………………………119 %;gW l1&5
2.2.3 Description of the method ……………………………………………………...124 P$yJA7]j;%
Bibliography …...………………………………………….……………….………..……130
