Basics of OPTICS OF MULTILAYER SYSTEMS TAAsV#l
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Contents iZSSd{jO
Preface……………………………………………………………………….………..……….4 Asn0&Ys4
Chapter 1 9e1 6 g
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: rvmI
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THEORY……………………………………………………………………………………….5
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 R_ 1C+
1.1.1 Layered medium electromagnetic field equations………………………………...5 R Nv<kw
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ?X9
= 4Z~w
1.1.3 The Fresnel formulas ……………………………………………………………18 %zelpBu+
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ?}]kIK}MC
layered medium…………………………………………………………………..19 ~o%-\^oc
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 xBZ9|2Y s
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 F d\XDc[g
1.2.1 Matrix calculating method ………………………………………………………22 =3zn
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1.2.2 Description of optical coating and presentation of calculation results…………..28 a:| 4q
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ; OPCBd r
1.2.4 Approximate formulas…………………………………………………………...33 ]8_h9ziz
1.2.5 Other recurrent methods…………………………………………………………34 t Z@ +18
1.2.6 The admittance phase plane……………………………………………………...38 \G= E%aK
1.3 Some common properties of multilayer coatings…………………………………….46 Gzir>'d2'V
1.3.1 The relation between the characteristic matrix and spectral coefficients of a k, @J&
multilayer coating ……………………………………………………………….47 )>Q 2G/@
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 28)TXRr-
1.3.3 Transmittance and reflectance of the combination of two multilayer R`* *!ku
subsystems ……………………………………………………………………....54 ~`})x(!
1.4 The multilayer coatings optical properties: impact of variations in the layer ~4>Xi*
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parameters……………………………………………………………………………...58 vW{cB y
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… d=#p w*w
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ?V{k\1A
coefficients: probability assessment method ……………………….…………...63 cyhD%sB[D9
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter pNqf2CnnT
variations ………………………………………………………………………...66 YT5>pM-%
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Asl H
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 K8U Az"
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 r~}}o o4K
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 %)/f; T6
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Ij #a
central wavelength ………………………………………………………………80 _M&.kha
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 `es($7}P_W
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 O|>1~^w
1.6.1 Common expressions for spectral coefficients of filter-type systems near central |x6mkSf]ke
wavelength ………………………………………………………………………88 #8z, '~\
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 sv;zvEn;-L
Chapter 2 ;/V@N |$n
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ,OKM\N ,
2.1 Synthesis methods based on merit function optimization …………………………...98 F3Y>hs):7
2.1.1 Merit function selection …………………………………………………………98 Z0=m:h
2.1.2 Merit function optimization ……………………………………………………101 gr
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2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 )KqR8UO
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 $CmX
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2.2.1 Needle-like variations of the refractive index ………………………………….115 &5.~ XM;
2.2.2 The principal idea of the method ………………………………………………119 ys/mv'#>
2.2.3 Description of the method ……………………………………………………...124 S(J\<)b
Bibliography …...………………………………………….……………….………..……130
