Basics of OPTICS OF MULTILAYER SYSTEMS lKV7IoJ& ;
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Contents Pa "[&{ :
Preface……………………………………………………………………….………..……….4 K [i&!Z&
Chapter 1 UD^=@?^7
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Xw&vi\*m
THEORY……………………………………………………………………………………….5 8$38>cGY^
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 8?h&FbmB
1.1.1 Layered medium electromagnetic field equations………………………………...5 jm,:jkr
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ww) ow\
1.1.3 The Fresnel formulas ……………………………………………………………18 UD_8#DO{m1
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Iy Vmz'
layered medium…………………………………………………………………..19 ;R^=($ X
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 /~P 4<1
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 N\85fPSMG|
1.2.1 Matrix calculating method ………………………………………………………22 0r]-Ltvl?}
1.2.2 Description of optical coating and presentation of calculation results…………..28 I?CfdI
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Aq_?8 Cd
1.2.4 Approximate formulas…………………………………………………………...33 bDnT><eH
1.2.5 Other recurrent methods…………………………………………………………34 pXK-,7-
1.2.6 The admittance phase plane……………………………………………………...38 '-_tF3x
1.3 Some common properties of multilayer coatings…………………………………….46 &"c lBR Vg
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 4q\gFFV4
multilayer coating ……………………………………………………………….47 G@rV9
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 q5~"8]Dls
1.3.3 Transmittance and reflectance of the combination of two multilayer :xC1Ka%~
subsystems ……………………………………………………………………....54 u\u6< [>P
1.4 The multilayer coatings optical properties: impact of variations in the layer >g2Z t;*@w
parameters……………………………………………………………………………...58 C W?R7A/
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… *y N#q>1
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral +d=8 /3O%
coefficients: probability assessment method ……………………….…………...63 _A6e|(.ll
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter XRXQ
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variations ………………………………………………………………………...66 A4Tjfc,rx9
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 pI}6AAs}Z
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Z=^~]Mfa
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 $mn+
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 9HZR%s[J
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 6d;RtCENo
central wavelength ………………………………………………………………80 .ViOf){U\
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 \!zM4ppr
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 3mT 6HGSKR
1.6.1 Common expressions for spectral coefficients of filter-type systems near central %+L3Xk]m'
wavelength ………………………………………………………………………88 !uAqY\Is
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 DxxY<OkN
Chapter 2 @% I-15Jz
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 h4=7{0[
2.1 Synthesis methods based on merit function optimization …………………………...98 t?h\Af4Tf
2.1.1 Merit function selection …………………………………………………………98 'nfdOX.d
2.1.2 Merit function optimization ……………………………………………………101 4td9=dNA+l
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 d+%Rg\ v
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 kD #hfYs)i
2.2.1 Needle-like variations of the refractive index ………………………………….115 MR.c?P?0Q
2.2.2 The principal idea of the method ………………………………………………119 "2hs=^&8
2.2.3 Description of the method ……………………………………………………...124 =[YjIWr#o
Bibliography …...………………………………………….……………….………..……130
