Basics of OPTICS OF MULTILAYER SYSTEMS ,n^TN{#
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Contents $ 9S>I'
Preface……………………………………………………………………….………..……….4 Th.3j's
Chapter 1 0&.LBv8
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: !p-'t]
THEORY……………………………………………………………………………………….5 rf )PAdj|~
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 hcd! A 5
1.1.1 Layered medium electromagnetic field equations………………………………...5 ;_>s0 rUV
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 8y-e+
1.1.3 The Fresnel formulas ……………………………………………………………18 $,}Qf0(S
1.1.4 Other ways of determining amplitude transmittance and reflectance of the &"sX^6t
layered medium…………………………………………………………………..19 -6AOK<kfI
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 A1mYkG)l
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ( P
1.2.1 Matrix calculating method ………………………………………………………22 [t {vYo
1.2.2 Description of optical coating and presentation of calculation results…………..28 ])+Sc"g4k
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 jQY >9+t
1.2.4 Approximate formulas…………………………………………………………...33 "1_{c *ck
1.2.5 Other recurrent methods…………………………………………………………34 /;zZnF\ e
1.2.6 The admittance phase plane……………………………………………………...38 :yd=No@
1.3 Some common properties of multilayer coatings…………………………………….46 s.<olxXRW
1.3.1 The relation between the characteristic matrix and spectral coefficients of a C<zx 'lw!
multilayer coating ……………………………………………………………….47 9" m, p
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 >&*6Fqd
1.3.3 Transmittance and reflectance of the combination of two multilayer nrxjN(9V%+
subsystems ……………………………………………………………………....54 jK&
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1.4 The multilayer coatings optical properties: impact of variations in the layer z:d Xc
parameters……………………………………………………………………………...58 ztRWIkI
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 'hxs((['\
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral & gY;`*<
coefficients: probability assessment method ……………………….…………...63 L+v8E/W
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter NvXj6U*%
variations ………………………………………………………………………...66 nw Z[Ygl|
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ]$* $0
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 }T?i%l
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 XMjI}SPG
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 !O 0ZD4/{4
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the *5ka.=Q s
central wavelength ………………………………………………………………80 Yt\E/*%
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 6^7)GCq [
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 c.|sW2/
1.6.1 Common expressions for spectral coefficients of filter-type systems near central rU/-Wq` B
wavelength ………………………………………………………………………88 U)&H.^@r$
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 nEjo,
Chapter 2 zv$=*
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 HV]~=Bw2I
2.1 Synthesis methods based on merit function optimization …………………………...98 FE$M[^1_
2.1.1 Merit function selection …………………………………………………………98 yVbg,q'?
2.1.2 Merit function optimization ……………………………………………………101 O^QR;<t'
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 F?yh23&_4
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 J>,'P^
2.2.1 Needle-like variations of the refractive index ………………………………….115 Bbn832iMUY
2.2.2 The principal idea of the method ………………………………………………119 nO A , x
2.2.3 Description of the method ……………………………………………………...124 K8yWg\K
Bibliography …...………………………………………….……………….………..……130
