Basics of OPTICS OF MULTILAYER SYSTEMS Hh<H~s [
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Contents uGKjZi
Preface……………………………………………………………………….………..……….4 MfTLa)Rz
Chapter 1 LHAlXo;
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: D-3[# ~MV
THEORY……………………………………………………………………………………….5 aD/ Rr3v>
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 FB=oGgwwq
1.1.1 Layered medium electromagnetic field equations………………………………...5 i jI/z5
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 -DDA b(2*
1.1.3 The Fresnel formulas ……………………………………………………………18 bP,<^zA|X
1.1.4 Other ways of determining amplitude transmittance and reflectance of the mp |pz%U
layered medium…………………………………………………………………..19 ]wQ!ZG?)
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 <?jd NM
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ~Eut_d
1.2.1 Matrix calculating method ………………………………………………………22 TFVQfj$r
1.2.2 Description of optical coating and presentation of calculation results…………..28 V la,avON
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 E' 5*w 6
1.2.4 Approximate formulas…………………………………………………………...33 vN v?trw
1.2.5 Other recurrent methods…………………………………………………………34 8$Q`wRt(%
1.2.6 The admittance phase plane……………………………………………………...38 ?M2(8 0
1.3 Some common properties of multilayer coatings…………………………………….46 WSThhI
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 4.6$m
multilayer coating ……………………………………………………………….47 #kg`rrF r
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 St=nf\P&F
1.3.3 Transmittance and reflectance of the combination of two multilayer gfk)`>E
subsystems ……………………………………………………………………....54 a "~o'W 7
1.4 The multilayer coatings optical properties: impact of variations in the layer T.q2tC[ bR
parameters……………………………………………………………………………...58 ?}||?2=P
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… -luQbGcT3
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 91
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coefficients: probability assessment method ……………………….…………...63 5'lVh/
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter S"Al [{
variations ………………………………………………………………………...66 iT@` dEZ .
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 2:+8]b 3i
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 |@ mz@
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 npP C;KD
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ];r!
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1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the K2 m>D=w
central wavelength ………………………………………………………………80 OhF55,[
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 3CUQQ_
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Z[vx0[av&
1.6.1 Common expressions for spectral coefficients of filter-type systems near central M,Gy.ivz
wavelength ………………………………………………………………………88 gv!8' DKn
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 !}*N';
Chapter 2 6fwNlC/9
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 yUo R6w
2.1 Synthesis methods based on merit function optimization …………………………...98 2Gyq40
2.1.1 Merit function selection …………………………………………………………98 NW|B|kc
2.1.2 Merit function optimization ……………………………………………………101 u ExLj6
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 v|?@k^Ms
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 u Lms0r\@!
2.2.1 Needle-like variations of the refractive index ………………………………….115 j*=!M# D
2.2.2 The principal idea of the method ………………………………………………119 dQX-s=XJ
2.2.3 Description of the method ……………………………………………………...124 ^[ae
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Bibliography …...………………………………………….……………….………..……130
