Basics of OPTICS OF MULTILAYER SYSTEMS R (6Jvub"I
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Contents |u03~L9G
Preface……………………………………………………………………….………..……….4 ;Eck7nRA )
Chapter 1 ~Su>^T(?-
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: R(csJ4F
THEORY……………………………………………………………………………………….5 K\ ZKVn
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ;R/=9l
1.1.1 Layered medium electromagnetic field equations………………………………...5 sO6+L
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 k%hif8y
1.1.3 The Fresnel formulas ……………………………………………………………18 Wc(?ezn
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Nz2} Ma 2
layered medium…………………………………………………………………..19 0^hz 1\g
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 %e3lb<sv6
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 JBuor c
1.2.1 Matrix calculating method ………………………………………………………22 y1P ?A]v
1.2.2 Description of optical coating and presentation of calculation results…………..28 <n0-zCf
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ?vvjwys@
1.2.4 Approximate formulas…………………………………………………………...33 <;= X7l+
1.2.5 Other recurrent methods…………………………………………………………34 T1D7H~ \lG
1.2.6 The admittance phase plane……………………………………………………...38 K2 NnA
1.3 Some common properties of multilayer coatings…………………………………….46 p uDy &T
1.3.1 The relation between the characteristic matrix and spectral coefficients of a iHTxD1 D+H
multilayer coating ……………………………………………………………….47 <>p\9rVp*^
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 Q5baY\"9^
1.3.3 Transmittance and reflectance of the combination of two multilayer ~bg FU
subsystems ……………………………………………………………………....54 SdN|-'qf
1.4 The multilayer coatings optical properties: impact of variations in the layer Dj?9 5Z,r
parameters……………………………………………………………………………...58 HA P9XC(F]
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… IA''-+9
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral D_'Zucq
coefficients: probability assessment method ……………………….…………...63 aY6]NpT
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter bD=_44I
variations ………………………………………………………………………...66 aMT&}3
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 KrG$W/<tg
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 W)o-aX!P
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 .{~ygHQ`f
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 =TU"B- *
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the _8t{4C
central wavelength ………………………………………………………………80 <.~j:Gbs E
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 tXwnK[~x
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 $7,n8ddRy
1.6.1 Common expressions for spectral coefficients of filter-type systems near central D{\h Pv
wavelength ………………………………………………………………………88 'Ko
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 l =xy_ TCf
Chapter 2 t hTY('m
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 e> X& [\T
2.1 Synthesis methods based on merit function optimization …………………………...98 J/WPffqD
2.1.1 Merit function selection …………………………………………………………98 qJUu9[3'm
2.1.2 Merit function optimization ……………………………………………………101 ,253'53W)
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 `nn;E% n
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 !y `wAm>n
2.2.1 Needle-like variations of the refractive index ………………………………….115 cl)%qIXj}H
2.2.2 The principal idea of the method ………………………………………………119 s:,BcVLx^
2.2.3 Description of the method ……………………………………………………...124 "m(HQ5e)*
Bibliography …...………………………………………….……………….………..……130
