Basics of OPTICS OF MULTILAYER SYSTEMS DS.39NY
EUJ1RhajF
Contents )`e^F9L
Preface……………………………………………………………………….………..……….4 $>nkGb%Kp
Chapter 1 M^Q&A R'F
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: PXOq#
THEORY……………………………………………………………………………………….5 S$ Ns8=
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 M}R@ K;%
1.1.1 Layered medium electromagnetic field equations………………………………...5 b,=,px
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Mr#oT?
1.1.3 The Fresnel formulas ……………………………………………………………18 |2WxcW]U.%
1.1.4 Other ways of determining amplitude transmittance and reflectance of the b/T20F{W\o
layered medium…………………………………………………………………..19 'O!Z:-qE
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 *Pa2bY3:
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 cr2{sGn|
1.2.1 Matrix calculating method ………………………………………………………22 aE%eJ)+K
1.2.2 Description of optical coating and presentation of calculation results…………..28 ru#T^AI*^
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 2O}s*C$Xav
1.2.4 Approximate formulas…………………………………………………………...33 GZxglU,3T
1.2.5 Other recurrent methods…………………………………………………………34 Q>cL?ie
1.2.6 The admittance phase plane……………………………………………………...38 % ZJ),9+
1.3 Some common properties of multilayer coatings…………………………………….46 ~ra#UG\Y8
1.3.1 The relation between the characteristic matrix and spectral coefficients of a =d:R/ Z%,
multilayer coating ……………………………………………………………….47 cq+nWHqF{J
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 olUqBQ&ol
1.3.3 Transmittance and reflectance of the combination of two multilayer az z#@f1
subsystems ……………………………………………………………………....54 dj 8F6\
1.4 The multilayer coatings optical properties: impact of variations in the layer ~}hba3&b;#
parameters……………………………………………………………………………...58 AAeQ- nbP
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… *[XN.sb8E
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral +&&MUT{
3
coefficients: probability assessment method ……………………….…………...63 2@"0} po#
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter kKFuTem_3
variations ………………………………………………………………………...66 O>)n*OsS
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 l5":[C$
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 n"K {uj))
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 hX{g] KE>
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 U*`
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the UKt/ 0Ze
central wavelength ………………………………………………………………80 S,d ngb{
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 EF*oPn0|
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 B^Rw?: hN
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ,qBnqi[
wavelength ………………………………………………………………………88 )]0[`iLe
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 < -@,
Chapter 2 )<H
91:.
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 R{2GQB
2.1 Synthesis methods based on merit function optimization …………………………...98 |j.KFu845
2.1.1 Merit function selection …………………………………………………………98 ,6cbD
2.1.2 Merit function optimization ……………………………………………………101 F3H:I"4
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 rFt ,36 #
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 6T}
CPDRq
2.2.1 Needle-like variations of the refractive index ………………………………….115 C+Fh$
2.2.2 The principal idea of the method ………………………………………………119 Vsm%h^]d
2.2.3 Description of the method ……………………………………………………...124 5 b#"
G"
Bibliography …...………………………………………….……………….………..……130
