Basics of OPTICS OF MULTILAYER SYSTEMS G %#us3x
:_e.ch:4
Contents n:#ji|wM
Preface……………………………………………………………………….………..……….4 l|&|+u#
Chapter 1 @8CD@SDv
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Vm6^'1CY
THEORY……………………………………………………………………………………….5 rBny*! n
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ho(Y?'^t3
1.1.1 Layered medium electromagnetic field equations………………………………...5 mR0@R;,p
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 N@A#e/8
1.1.3 The Fresnel formulas ……………………………………………………………18 Jhj]rsGk
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Jp=
(Q]ab
layered medium…………………………………………………………………..19 o&CvjE
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 94a _ W9
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ZDVaKDqZ_
1.2.1 Matrix calculating method ………………………………………………………22 hqBwA1](a
1.2.2 Description of optical coating and presentation of calculation results…………..28 1i>)@{P&BN
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 S((8DSt*
1.2.4 Approximate formulas…………………………………………………………...33 }Ns_RS$
1.2.5 Other recurrent methods…………………………………………………………34 ~(&xBtg: }
1.2.6 The admittance phase plane……………………………………………………...38 EAq >v
t83
1.3 Some common properties of multilayer coatings…………………………………….46 yqBu7E$X
1.3.1 The relation between the characteristic matrix and spectral coefficients of a
k,@1rOf
multilayer coating ……………………………………………………………….47 T4f:0r;^f*
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 #|e <l1 F
1.3.3 Transmittance and reflectance of the combination of two multilayer k[ zf` x^
subsystems ……………………………………………………………………....54 Hv`Zc*
1.4 The multilayer coatings optical properties: impact of variations in the layer d ")r^7
parameters……………………………………………………………………………...58 #`W8-w
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… +L49
pv5
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral .9ROa#7U;n
coefficients: probability assessment method ……………………….…………...63 MR C5c: (
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter CjST* (,b
variations ………………………………………………………………………...66 bZlA K)
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 @ =,J6
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 UG!&n@R
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 LSfj7j`
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 0 SDCo\
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the _E "[ %
central wavelength ………………………………………………………………80 q MUqd}=P
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 u( o @_6
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 stDn{x .
1.6.1 Common expressions for spectral coefficients of filter-type systems near central Th8Q ~*v
wavelength ………………………………………………………………………88 [ cH/Y2[
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 J\{)qJ *jp
Chapter 2 gTq-\k(
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 4Cfwz-Qo
2.1 Synthesis methods based on merit function optimization …………………………...98 %EpK=;51U
2.1.1 Merit function selection …………………………………………………………98 ^Uf`w7"iY
2.1.2 Merit function optimization ……………………………………………………101 3dM6z OK
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 YW 'Y=*
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 'v,W
gPe
2.2.1 Needle-like variations of the refractive index ………………………………….115 "d#s|_n,d)
2.2.2 The principal idea of the method ………………………………………………119 givK{Yt<B
2.2.3 Description of the method ……………………………………………………...124 >2 |#b
Bibliography …...………………………………………….……………….………..……130
