Basics of OPTICS OF MULTILAYER SYSTEMS 3^p;'7x
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Contents 2/#%^,Kb2
Preface……………………………………………………………………….………..……….4 S"Mm_<A$@
Chapter 1 Tyt1a>! qA
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ev%}\^Vl[
THEORY……………………………………………………………………………………….5 y,vrMWDy
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 .
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1.1.1 Layered medium electromagnetic field equations………………………………...5 'mU7N<Q$qQ
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 |s*tRag
1.1.3 The Fresnel formulas ……………………………………………………………18 {N 0i
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the (eF "[,z
layered medium…………………………………………………………………..19 xC.Tipn>
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 z Feo8S
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 \TTt!"aK
1.2.1 Matrix calculating method ………………………………………………………22 p +O,C{^f
1.2.2 Description of optical coating and presentation of calculation results…………..28 Y8%*S%yO
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 _q 1E4z
1.2.4 Approximate formulas…………………………………………………………...33 | ;(0]
1.2.5 Other recurrent methods…………………………………………………………34 @DA.$zn&
1.2.6 The admittance phase plane……………………………………………………...38 wA7^
1.3 Some common properties of multilayer coatings…………………………………….46 .3< sv
1.3.1 The relation between the characteristic matrix and spectral coefficients of a o k<!/"RX$
multilayer coating ……………………………………………………………….47 !O*uQB
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 g~Agy
1.3.3 Transmittance and reflectance of the combination of two multilayer )0p7d:%mV
subsystems ……………………………………………………………………....54 B0eKj=y;
1.4 The multilayer coatings optical properties: impact of variations in the layer 8:)itYE
parameters……………………………………………………………………………...58 0X[uXf
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… xO2CgqEb
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral "q v J -Y
coefficients: probability assessment method ……………………….…………...63 [ nG@
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 0dKi25J
variations ………………………………………………………………………...66 %:hU:+G E
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 'r_NA!R
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 !Au 9C
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 mnS F=l;;
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 |\_d^U &`
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the bf1EMai"
central wavelength ………………………………………………………………80 >pq= .)X}
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 U CF'%R
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 RYem(%jq
1.6.1 Common expressions for spectral coefficients of filter-type systems near central P{_Xg,Z
wavelength ………………………………………………………………………88 ; E]^7T
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 [Uw/;Kyh
Chapter 2 EoD[,:*
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 etkKVr;Kv
2.1 Synthesis methods based on merit function optimization …………………………...98 JVk"M=c
2.1.1 Merit function selection …………………………………………………………98 dE0 p>4F
2.1.2 Merit function optimization ……………………………………………………101 'k(aZ"
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 q]>m#yk
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 `U[s d*C"
2.2.1 Needle-like variations of the refractive index ………………………………….115 Eggdj+
2.2.2 The principal idea of the method ………………………………………………119 6e.?L
2.2.3 Description of the method ……………………………………………………...124 {#X]D~;s+
Bibliography …...………………………………………….……………….………..……130
