Basics of OPTICS OF MULTILAYER SYSTEMS _:c8YJEG{
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Contents '|J-8"
Preface……………………………………………………………………….………..……….4 ;T"}dJel#
Chapter 1 )}~k7bb}Y
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: @gE
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THEORY……………………………………………………………………………………….5 yf3%g\k
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 \&2GLBKpe
1.1.1 Layered medium electromagnetic field equations………………………………...5 8$v17 3
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 f3y_&I+zl
1.1.3 The Fresnel formulas ……………………………………………………………18 JI3AR
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the R@=ve
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layered medium…………………………………………………………………..19 ]B3 0d
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 #MHn J
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 H#m)`=nZSZ
1.2.1 Matrix calculating method ………………………………………………………22 }!Qo
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1.2.2 Description of optical coating and presentation of calculation results…………..28 #c+N}eX{
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 @`wBe#+\
1.2.4 Approximate formulas…………………………………………………………...33 dI>)4( )
1.2.5 Other recurrent methods…………………………………………………………34 Z)P x6\?+
1.2.6 The admittance phase plane……………………………………………………...38 [53@ '@26
1.3 Some common properties of multilayer coatings…………………………………….46 ; )0vxcMB
1.3.1 The relation between the characteristic matrix and spectral coefficients of a u-O wL1S+
multilayer coating ……………………………………………………………….47 eU@yw1N
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ?7^('
1.3.3 Transmittance and reflectance of the combination of two multilayer ^._)HM
subsystems ……………………………………………………………………....54 9VV
1.4 The multilayer coatings optical properties: impact of variations in the layer Q`5jEtu#,
parameters……………………………………………………………………………...58 }= s@y"["
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… $'L(}gNv5
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 1'c!9
coefficients: probability assessment method ……………………….…………...63 "uTzmm$
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 0u'2f`p*
variations ………………………………………………………………………...66 T*k
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 \ts:'
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Ln[R}qD
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 D?@330'P9C
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 t.lm`=
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the )P:TVe9`
central wavelength ………………………………………………………………80 e{To&gy~
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ThJLaNS
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 aODOc J N
1.6.1 Common expressions for spectral coefficients of filter-type systems near central sb4r\[?
wavelength ………………………………………………………………………88 3<m"z9$
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 `+1*)bYxU
Chapter 2 )3h=V^rm
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 A3$
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2.1 Synthesis methods based on merit function optimization …………………………...98 UbY-)9==
2.1.1 Merit function selection …………………………………………………………98 wC@4`h\U
2.1.2 Merit function optimization ……………………………………………………101 7"
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2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 r A0[ y
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 <MT_zET
2.2.1 Needle-like variations of the refractive index ………………………………….115 'PV,c|f>
2.2.2 The principal idea of the method ………………………………………………119 e)!X9><J
2.2.3 Description of the method ……………………………………………………...124 dE/Vl/ :
Bibliography …...………………………………………….……………….………..……130
