Basics of OPTICS OF MULTILAYER SYSTEMS !(mj yr
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Contents %u`8mi nCt
Preface……………………………………………………………………….………..……….4 uXI_M)
Chapter 1 @|Fg,N<Y ]
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: aiQ>xen5C5
THEORY……………………………………………………………………………………….5 _,zA ^*b
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 sJ# 4(r`
1.1.1 Layered medium electromagnetic field equations………………………………...5 ,/Y F-L$(t
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 {n(b{ ibl
1.1.3 The Fresnel formulas ……………………………………………………………18 vbkI^+=,YY
1.1.4 Other ways of determining amplitude transmittance and reflectance of the -mC0+}h
layered medium…………………………………………………………………..19 h "Xg;(K
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 7q?9Tj3
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 nnCG g+l
1.2.1 Matrix calculating method ………………………………………………………22 0n @rLF
1.2.2 Description of optical coating and presentation of calculation results…………..28 DamC F
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 3j,Q`+l/6d
1.2.4 Approximate formulas…………………………………………………………...33 'Hc-~l>D
1.2.5 Other recurrent methods…………………………………………………………34 2]I4M[|&z
1.2.6 The admittance phase plane……………………………………………………...38 Cnnh7`
1.3 Some common properties of multilayer coatings…………………………………….46 5 elw~u
1.3.1 The relation between the characteristic matrix and spectral coefficients of a bnm
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multilayer coating ……………………………………………………………….47 bIGHGd
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 @WJg WJm
1.3.3 Transmittance and reflectance of the combination of two multilayer '/` = R
subsystems ……………………………………………………………………....54 UV5Ie!\nm
1.4 The multilayer coatings optical properties: impact of variations in the layer (H )2 s Y
parameters……………………………………………………………………………...58 2 GFLnz
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… + IrLDsd
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral t]> Lh>G
coefficients: probability assessment method ……………………….…………...63 )_1zRT| 9
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter =6woWlf b
variations ………………………………………………………………………...66 :Nu^
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 MA ;1 ;uI,
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 h lkn%
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 .nG#co"r}3
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 q+P|l5_
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1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the T~QWRBO
central wavelength ………………………………………………………………80 =Qh\D
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 Fp@TCPe#
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 &L#UGp $,
1.6.1 Common expressions for spectral coefficients of filter-type systems near central +cIUGF p}
wavelength ………………………………………………………………………88 kdCUORMK
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 %T X@I$Ba
Chapter 2 =jSb'Vu|
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 =. y~f A!
2.1 Synthesis methods based on merit function optimization …………………………...98 xB_!>SqF1U
2.1.1 Merit function selection …………………………………………………………98 UQ'\7OS
2.1.2 Merit function optimization ……………………………………………………101 $P>`m$(8
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 zV:pQRbt.
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 EPS={w$'s
2.2.1 Needle-like variations of the refractive index ………………………………….115 N* %@
2.2.2 The principal idea of the method ………………………………………………119 (EK"V';
2.2.3 Description of the method ……………………………………………………...124 ld3-C55
Bibliography …...………………………………………….……………….………..……130
