Basics of OPTICS OF MULTILAYER SYSTEMS @&B!P3{ f
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Contents AwrK82
Preface……………………………………………………………………….………..……….4 .p}Kl$K ]
Chapter 1 ] w_)Spo.
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Cw5K*
THEORY……………………………………………………………………………………….5 EQ $9Ia Y.
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 VrxH6 Y
1.1.1 Layered medium electromagnetic field equations………………………………...5 0 Wm-` ZA
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 tY=TY{ RY
1.1.3 The Fresnel formulas ……………………………………………………………18 2f4 c;YS
1.1.4 Other ways of determining amplitude transmittance and reflectance of the
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layered medium…………………………………………………………………..19 0z#kV}wE
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 =7,U qMl_
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 )&<ExJQ&
1.2.1 Matrix calculating method ………………………………………………………22 `%p6i|
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1.2.2 Description of optical coating and presentation of calculation results…………..28 3~la/$?p0
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 D|:s Sld @
1.2.4 Approximate formulas…………………………………………………………...33 aB'@8[]z
1.2.5 Other recurrent methods…………………………………………………………34 NvZ?e
1.2.6 The admittance phase plane……………………………………………………...38 V5 r7eC
1.3 Some common properties of multilayer coatings…………………………………….46 L{pg?#\yC
1.3.1 The relation between the characteristic matrix and spectral coefficients of a s+- aHn
multilayer coating ……………………………………………………………….47 xrnH= >.;m
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 FJ"9Hs2
1.3.3 Transmittance and reflectance of the combination of two multilayer SqB|(~S
subsystems ……………………………………………………………………....54 >6+K"J-@
1.4 The multilayer coatings optical properties: impact of variations in the layer &N0| tn
parameters……………………………………………………………………………...58 n# cN[C9
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… [+z:^a1?V
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 0 XzO`*
coefficients: probability assessment method ……………………….…………...63 KK$A 4`YoR
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ):
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variations ………………………………………………………………………...66 yRkMR$5&
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 0g-ESf``{n
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 J3;KQ }F.I
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 t7FQ.E,T
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 x~eEaD5m%J
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the S I5QdX
central wavelength ………………………………………………………………80 >,Z{wxz J
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 aM!#
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 gw T,D.'Ut
1.6.1 Common expressions for spectral coefficients of filter-type systems near central qw1J{xoHW
wavelength ………………………………………………………………………88 2 s% M,Nb
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 !*6z=:J
Chapter 2 =:eE !
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 P.DWC'IBN
2.1 Synthesis methods based on merit function optimization …………………………...98 U$uO%:4 %
2.1.1 Merit function selection …………………………………………………………98 2Zip8f!
2.1.2 Merit function optimization ……………………………………………………101 W^Y0>W~
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Lm#d.AD)
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 06 s3
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2.2.1 Needle-like variations of the refractive index ………………………………….115 pr(\ ?\a
2.2.2 The principal idea of the method ………………………………………………119 [ {$0E=&0
2.2.3 Description of the method ……………………………………………………...124 n^#L B* q
Bibliography …...………………………………………….……………….………..……130
