Basics of OPTICS OF MULTILAYER SYSTEMS /z)H7s+
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Contents <(E9U.
Preface……………………………………………………………………….………..……….4 }+/F?_I=
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Chapter 1 =".sCV9"N
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Can:!48
THEORY……………………………………………………………………………………….5 eaWK 2%v
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 h y}n&h
1.1.1 Layered medium electromagnetic field equations………………………………...5 L> \/%x>Wx
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 EYy|JT]B
1.1.3 The Fresnel formulas ……………………………………………………………18 p=T6Ix'_2e
1.1.4 Other ways of determining amplitude transmittance and reflectance of the F 2 ^qf
layered medium…………………………………………………………………..19 vEZ d;40y
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 Hw\hT TK
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Z~{0x#?4%
1.2.1 Matrix calculating method ………………………………………………………22 u gy: ^U
1.2.2 Description of optical coating and presentation of calculation results…………..28 ).i :C(|
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 9O{b8=\}
1.2.4 Approximate formulas…………………………………………………………...33 95IR.Qfn!
1.2.5 Other recurrent methods…………………………………………………………34 m\"X%Y#
1.2.6 The admittance phase plane……………………………………………………...38 CkeqK
1.3 Some common properties of multilayer coatings…………………………………….46 y,F|L?dI q
1.3.1 The relation between the characteristic matrix and spectral coefficients of a G0mvrc-(
multilayer coating ……………………………………………………………….47 [+3~wpU(p
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 pKzrdw-!
1.3.3 Transmittance and reflectance of the combination of two multilayer j"4]iI+ {"
subsystems ……………………………………………………………………....54 1\L K[tvh
1.4 The multilayer coatings optical properties: impact of variations in the layer 1
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parameters……………………………………………………………………………...58 d-ML[^G
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… $.Qu55=z<
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral )uK Tf=;
coefficients: probability assessment method ……………………….…………...63 C %QC^,KL
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter
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variations ………………………………………………………………………...66 +*=?0 \
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 rXF=/
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 cS;O]>/5
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 & m~
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 E>L_$J -A-
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the <;q)V%IUz
central wavelength ………………………………………………………………80 g7`uWAxZa
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 * <l9 d
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 qYbPF|Y=Z
1.6.1 Common expressions for spectral coefficients of filter-type systems near central J?[}h&otQ
wavelength ………………………………………………………………………88 c]3^2Ag,
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 yi Ausl;
Chapter 2 |n %<p
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 +l@+e_>
2.1 Synthesis methods based on merit function optimization …………………………...98 dY$jg
2.1.1 Merit function selection …………………………………………………………98 Jh`6@d
2.1.2 Merit function optimization ……………………………………………………101 ^SJa/I EZ.
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 j Khj 7dR
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 S+M:{<AR
2.2.1 Needle-like variations of the refractive index ………………………………….115 idGhWV'
2.2.2 The principal idea of the method ………………………………………………119 1+NmiGKg
2.2.3 Description of the method ……………………………………………………...124 2\L}Ka|v
Bibliography …...………………………………………….……………….………..……130
