Basics of OPTICS OF MULTILAYER SYSTEMS D#"BY;
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Contents 9)2 kjBeb
Preface……………………………………………………………………….………..……….4 SUGB)vEa
Chapter 1 ;6+e !h'1
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: $FR1^|P/G
THEORY……………………………………………………………………………………….5 uT1xvXfqP
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 n@1;5)&k~
1.1.1 Layered medium electromagnetic field equations………………………………...5 d6RO2^
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 j:k }6]p}
1.1.3 The Fresnel formulas ……………………………………………………………18 e8E*Urtz
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Qk`ykTS!
layered medium…………………………………………………………………..19 `eZ
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 /w[B,_ZKTk
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 cl \Gh
1.2.1 Matrix calculating method ………………………………………………………22 F"I{_yleq'
1.2.2 Description of optical coating and presentation of calculation results…………..28 Ei$?]~
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1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 U -h'a:
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1.2.4 Approximate formulas…………………………………………………………...33 F6'[8f
1.2.5 Other recurrent methods…………………………………………………………34 ` 3wzOMgJ
1.2.6 The admittance phase plane……………………………………………………...38 WC 0 gJy
1.3 Some common properties of multilayer coatings…………………………………….46 A8|DB@ Bi
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Maw Wgd*
multilayer coating ……………………………………………………………….47 WF#3'"I
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 '>"riEk
1.3.3 Transmittance and reflectance of the combination of two multilayer m% $GiNs}
subsystems ……………………………………………………………………....54 %KjvV<f-a
1.4 The multilayer coatings optical properties: impact of variations in the layer 8,VX%CS#q
parameters……………………………………………………………………………...58
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… }8lvi
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral N*mm[F2+F
coefficients: probability assessment method ……………………….…………...63 /Ko{S_3< I
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 0 oC5W?>8s
variations ………………………………………………………………………...66 h
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 E\$7tXQK6
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 n8K FP
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 _0GM!Cny
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 (Ci{fY6`
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the mQ$a^28=qR
central wavelength ………………………………………………………………80 <] w(1{q(
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ;~^9$Z@%Q
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 &7 0o4~Fr
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 'L k& iph
wavelength ………………………………………………………………………88 jWUpzf)q=T
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ?=^~(x?S
Chapter 2 #E'aa 'P}
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ^i;y2c
2.1 Synthesis methods based on merit function optimization …………………………...98 Q:v9 C ^7
2.1.1 Merit function selection …………………………………………………………98 tMy<MO)Ei
2.1.2 Merit function optimization ……………………………………………………101 \c1NIuJR
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 bjq+x: >
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 J$+K't5BZ
2.2.1 Needle-like variations of the refractive index ………………………………….115 U=Hx& g
2.2.2 The principal idea of the method ………………………………………………119 i!nPiac
2.2.3 Description of the method ……………………………………………………...124 ",O}{z
Bibliography …...………………………………………….……………….………..……130
