Basics of OPTICS OF MULTILAYER SYSTEMS picP _1L
8SCW.;0
Contents OJ_2z| f<
Preface……………………………………………………………………….………..……….4 "$E!_
Chapter 1 $R$c1C' oX
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: "{ QHWZ
THEORY……………………………………………………………………………………….5 uVuToMCp
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 J?Ep Nie
1.1.1 Layered medium electromagnetic field equations………………………………...5 :oj)
eS [Y
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ,m?UFRi
1.1.3 The Fresnel formulas ……………………………………………………………18 hRy }G'0
1.1.4 Other ways of determining amplitude transmittance and reflectance of the }DUDA%U
layered medium…………………………………………………………………..19 pv m'pu78
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 M%5$-;6~_
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 !NAX6m
1.2.1 Matrix calculating method ………………………………………………………22 'G3OZ j8
1.2.2 Description of optical coating and presentation of calculation results…………..28 u<y\iZ[
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 k>0cTBY&
1.2.4 Approximate formulas…………………………………………………………...33 ~oW8GQ
1.2.5 Other recurrent methods…………………………………………………………34 ;`of'9|
1.2.6 The admittance phase plane……………………………………………………...38 ^qus `6
1.3 Some common properties of multilayer coatings…………………………………….46 h%w\O Z7
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ;~Gpw/]5E
multilayer coating ……………………………………………………………….47 ,^IZ[D>u)
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 rLw[y$2
1.3.3 Transmittance and reflectance of the combination of two multilayer /L|}Y242
subsystems ……………………………………………………………………....54 dYqDL<se/I
1.4 The multilayer coatings optical properties: impact of variations in the layer x&f Ce{5
parameters……………………………………………………………………………...58 SQ KY;p
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… U)/Ul>dY
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral T4}? w
coefficients: probability assessment method ……………………….…………...63 $9i5<16
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter {kRC!}
variations ………………………………………………………………………...66 <K[Zl/7I
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 &?g!}Ky \
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 (Nlm4*{ h
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 PKM$*_LcGI
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 x>9EVa)
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the c +)|o! d
central wavelength ………………………………………………………………80 0^lL,rC
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 WZ6{(`;#m
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 _}D?+x,C8
1.6.1 Common expressions for spectral coefficients of filter-type systems near central .9fluAG
wavelength ………………………………………………………………………88 *-!ndbf
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 iCSM1W3
Chapter 2 vzm4
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 S w(
H]
2.1 Synthesis methods based on merit function optimization …………………………...98 \\G6c4 fC
2.1.1 Merit function selection …………………………………………………………98 v8 k ^=A:
2.1.2 Merit function optimization ……………………………………………………101 _>m*`:Wb
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 +\Mm
(Nd
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 x-#9i
2.2.1 Needle-like variations of the refractive index ………………………………….115 R"t$N@ZFb
2.2.2 The principal idea of the method ………………………………………………119 Xsn - +e
2.2.3 Description of the method ……………………………………………………...124 ; F(01
Bibliography …...………………………………………….……………….………..……130
