Basics of OPTICS OF MULTILAYER SYSTEMS O
tr@jgw
MAXdgL[]
Contents &}]Wbk4:
Preface……………………………………………………………………….………..……….4 R?W8l5CIk
Chapter 1 ;8@A7`^
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Ii)TCSt9U?
THEORY……………………………………………………………………………………….5 VioVtP0
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 i[<O @Rb
1.1.1 Layered medium electromagnetic field equations………………………………...5 wcO+P7g
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 'B C- 'Ot
1.1.3 The Fresnel formulas ……………………………………………………………18 *VH1(E`hl
1.1.4 Other ways of determining amplitude transmittance and reflectance of the =<g\B?s]
layered medium…………………………………………………………………..19 2eNm 2;
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 #E#70vWp\O
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Xf0pQ]8\
1.2.1 Matrix calculating method ………………………………………………………22 <ANKoPNie
1.2.2 Description of optical coating and presentation of calculation results…………..28 ,FTF@h-Cs
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 gC 4w& yL
1.2.4 Approximate formulas…………………………………………………………...33 ukw'$Yt2
1.2.5 Other recurrent methods…………………………………………………………34 yoH6g?!O
1.2.6 The admittance phase plane……………………………………………………...38 [\!S-:
1.3 Some common properties of multilayer coatings…………………………………….46 "x{S3v4Rb5
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Bpgl
U=Qr
multilayer coating ……………………………………………………………….47 0zd1:*KR,
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 7(jt:V6V
1.3.3 Transmittance and reflectance of the combination of two multilayer cIgF]My*D@
subsystems ……………………………………………………………………....54 ' o 5,P/6
1.4 The multilayer coatings optical properties: impact of variations in the layer .JzO f[g5
parameters……………………………………………………………………………...58 qRU8uu
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… =$m|M
m[a
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral | $D^LY
coefficients: probability assessment method ……………………….…………...63 D@2Tx
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter y]Y)?])
variations ………………………………………………………………………...66 i_MDLS>-
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 S\C
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Q/< $ (Y
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 9TF[uC)-2
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 1:,aFp>qr
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the vs.q<i-u
central wavelength ………………………………………………………………80 #hai3>9|B
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 M?_VYK
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 '\9A78NV{;
1.6.1 Common expressions for spectral coefficients of filter-type systems near central a9"Gg}h\
wavelength ………………………………………………………………………88 bC&_O U:
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 c!I>
_PD`&
Chapter 2 W4Eo1 E
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 @A)gsDt9A
2.1 Synthesis methods based on merit function optimization …………………………...98 7_J K2
2.1.1 Merit function selection …………………………………………………………98 X }^,g
2.1.2 Merit function optimization ……………………………………………………101 0s4%22
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 2LgRgY{Bl
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 r+) A)a,
2.2.1 Needle-like variations of the refractive index ………………………………….115 d=xweU<
2.2.2 The principal idea of the method ………………………………………………119 E;h#3
B9
2.2.3 Description of the method ……………………………………………………...124 %N!Y}$y
Bibliography …...………………………………………….……………….………..……130
