Basics of OPTICS OF MULTILAYER SYSTEMS @H\pipT_b
O4EIE) c
Contents d=XpO*v,[
Preface……………………………………………………………………….………..……….4 {pDTy7!Hs
Chapter 1 5g``30:o
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ]4Y/x i-
THEORY……………………………………………………………………………………….5 l( %k6
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Sty! atEWT
1.1.1 Layered medium electromagnetic field equations………………………………...5 k&) K(
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ]U,CKJF%/
1.1.3 The Fresnel formulas ……………………………………………………………18 u 1ZJHry
1.1.4 Other ways of determining amplitude transmittance and reflectance of the >5;N64]!)
layered medium…………………………………………………………………..19 ptpW41t}^
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 'y9* uT~
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 MZ|\S/
1.2.1 Matrix calculating method ………………………………………………………22 3 ai (x1%
1.2.2 Description of optical coating and presentation of calculation results…………..28 2{ o0@
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 84 =-Lw
1.2.4 Approximate formulas…………………………………………………………...33 7DtIVMiK
1.2.5 Other recurrent methods…………………………………………………………34 X9fNGM1
1.2.6 The admittance phase plane……………………………………………………...38 G#H 9g PY
1.3 Some common properties of multilayer coatings…………………………………….46 z)lM2x>|*
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ImIqD&a-h
multilayer coating ……………………………………………………………….47 vv+D*e&<
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 o+<29o
1.3.3 Transmittance and reflectance of the combination of two multilayer [p ii
subsystems ……………………………………………………………………....54 P:sAqvH6
1.4 The multilayer coatings optical properties: impact of variations in the layer \M5P+Wk '
parameters……………………………………………………………………………...58 k(P3LJcYQ
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… =fl%8" %N&
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ll^DY
hx}
coefficients: probability assessment method ……………………….…………...63 (I4y[jn D
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter v&fGCD\ R
variations ………………………………………………………………………...66 &1wpGJqm
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 {odA[H
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 !@u&{"{`
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 \a\= gn
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 .nEs:yn
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the E0QPE5 _
central wavelength ………………………………………………………………80 q
IM
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 FV
A
UR
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 u4Y M^* S.
1.6.1 Common expressions for spectral coefficients of filter-type systems near central k oM]S+1
wavelength ………………………………………………………………………88 b M"fk&
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 nbGoJC:U
Chapter 2 0q {[\51*
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 3DW3LYo{
2.1 Synthesis methods based on merit function optimization …………………………...98 6lsL^]7
2.1.1 Merit function selection …………………………………………………………98 yRC3
. [
2.1.2 Merit function optimization ……………………………………………………101 ic-IN~J-
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 gN?0m4[$i
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 <Nex8fiJ9
2.2.1 Needle-like variations of the refractive index ………………………………….115 jYWw.g<
2.2.2 The principal idea of the method ………………………………………………119 H"+wsM^@
2.2.3 Description of the method ……………………………………………………...124 $jG4pPG
Bibliography …...………………………………………….……………….………..……130
