Basics of OPTICS OF MULTILAYER SYSTEMS qoZe<jW (
E2tUL#
Contents B 74
Preface……………………………………………………………………….………..……….4 );?tGX
Chapter 1 ^)o]hE|
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: J\ N&u#
THEORY……………………………………………………………………………………….5 {suQ"iv
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 gB>AYL%o=
1.1.1 Layered medium electromagnetic field equations………………………………...5 RB6TM
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 3N dO3-~)
1.1.3 The Fresnel formulas ……………………………………………………………18 E&Zt<pRf;2
1.1.4 Other ways of determining amplitude transmittance and reflectance of the qiq=v)
layered medium…………………………………………………………………..19 8w#4T:hsuN
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 Ba t@
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Y5P9z{X=
1.2.1 Matrix calculating method ………………………………………………………22 t0za%q!fK<
1.2.2 Description of optical coating and presentation of calculation results…………..28 1r5Z$3t\
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 (!?%"e
1.2.4 Approximate formulas…………………………………………………………...33 4sfq,shRq
1.2.5 Other recurrent methods…………………………………………………………34 qxcTY|&
1.2.6 The admittance phase plane……………………………………………………...38 "Z~@"JLb%
1.3 Some common properties of multilayer coatings…………………………………….46 }2^qM^,0
1.3.1 The relation between the characteristic matrix and spectral coefficients of a %$bhg&}
multilayer coating ……………………………………………………………….47 ,zdK%V}
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 CYsLyk
1.3.3 Transmittance and reflectance of the combination of two multilayer 79D;0
subsystems ……………………………………………………………………....54 j3S!uA?
1.4 The multilayer coatings optical properties: impact of variations in the layer s#aan e
parameters……………………………………………………………………………...58 fhha-J
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… YS<KyTb"
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral :f7:@8
coefficients: probability assessment method ……………………….…………...63 QW WI
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter aCi)icn$
variations ………………………………………………………………………...66 b ZZ _yc
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 4^9qs%&
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 9j}Q~ v\
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 fp`m>}
-
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 m:k; ?p:x
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the :*R+ee,& -
central wavelength ………………………………………………………………80 G @]n(\7Y
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ?;Da%VS3
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 UMMGT6s,E8
1.6.1 Common expressions for spectral coefficients of filter-type systems near central uH7!)LE#
wavelength ………………………………………………………………………88 rT[b ^l}
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 #KuBEHr
Chapter 2 Tm0\Oue0
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 F3 g$b,RMH
2.1 Synthesis methods based on merit function optimization …………………………...98 sp_19u
2.1.1 Merit function selection …………………………………………………………98 b/tc D r
2.1.2 Merit function optimization ……………………………………………………101 j'Gezx^.<e
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 >u|4490<0
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 AbQ nx%$u
2.2.1 Needle-like variations of the refractive index ………………………………….115 1suP7o A;
2.2.2 The principal idea of the method ………………………………………………119 .3wx}!:*|
2.2.3 Description of the method ……………………………………………………...124 |Qpd<L
Bibliography …...………………………………………….……………….………..……130
