Basics of OPTICS OF MULTILAYER SYSTEMS VpAwvMw
C GlE c
Contents S)wP];]`K
Preface……………………………………………………………………….………..……….4 GnUD<P=I
Chapter 1 1a V32oK
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: cYe2 a "
THEORY……………………………………………………………………………………….5 2Xk;]-T!
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 CLe{9-o
1.1.1 Layered medium electromagnetic field equations………………………………...5 S]|sK Y
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ks6iy}f7
1.1.3 The Fresnel formulas ……………………………………………………………18 hGw}o,g
1.1.4 Other ways of determining amplitude transmittance and reflectance of the NqD Hrx
layered medium…………………………………………………………………..19 ZzTkEz >
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 V*fv>f:Yv
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Vy[ xu $y
1.2.1 Matrix calculating method ………………………………………………………22 \P9ms?((A
1.2.2 Description of optical coating and presentation of calculation results…………..28 |<,0*2
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ~_"V7
1.2.4 Approximate formulas…………………………………………………………...33 Ayg^<) JWh
1.2.5 Other recurrent methods…………………………………………………………34 &4} =@'G@
1.2.6 The admittance phase plane……………………………………………………...38 V!Sm,S(
1.3 Some common properties of multilayer coatings…………………………………….46 WFV'^- 4
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ILl~f\xG)
multilayer coating ……………………………………………………………….47 J?X{NARt
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 f ebn?|@
1.3.3 Transmittance and reflectance of the combination of two multilayer RXcN<Y&
subsystems ……………………………………………………………………....54 U{Oo @ztT
1.4 The multilayer coatings optical properties: impact of variations in the layer /5 "T46jD
parameters……………………………………………………………………………...58 wd<{%qK`{
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… _->+H jj ^
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral %HtgZeY
coefficients: probability assessment method ……………………….…………...63 ?E+f<jol
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter |4
\2,M#
variations ………………………………………………………………………...66 mI DVN
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ^VG].6
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 B0)|sH
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 {47l1wV]
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 hDSf>X_*_G
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the L[ D+=
central wavelength ………………………………………………………………80 P7,g^:$
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 "M-' ;;
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 7%? bl
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 3imsIBr
wavelength ………………………………………………………………………88 Ai[@2A yU
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 -ZSN0X k
Chapter 2 |te=DCO
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 .N.RpRz{f
2.1 Synthesis methods based on merit function optimization …………………………...98 .81Y/Gad_
2.1.1 Merit function selection …………………………………………………………98 @~|;/OY>"
2.1.2 Merit function optimization ……………………………………………………101 ^,ISz-4
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 XR7v\rd
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 v6=%KXS F
2.2.1 Needle-like variations of the refractive index ………………………………….115 cAwqIihZ
2.2.2 The principal idea of the method ………………………………………………119 52Lp_M
2.2.3 Description of the method ……………………………………………………...124 u*I'c2m
Bibliography …...………………………………………….……………….………..……130
