| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS H,NF;QPPC
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Contents D m9sL!
Preface……………………………………………………………………….………..……….4 cH)";] k*-
Chapter 1 v` r:=K
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 5IG-~jzCLb
THEORY……………………………………………………………………………………….5 #L NED)Vg
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 |[y 6Ua0
1.1.1 Layered medium electromagnetic field equations………………………………...5 y_[vr:s5pG
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 {c0`Um3&>
1.1.3 The Fresnel formulas ……………………………………………………………18 ss-D(K"
1.1.4 Other ways of determining amplitude transmittance and reflectance of the S8gs-gL#Og
layered medium…………………………………………………………………..19 fB,_9K5i
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 K<J9 ~
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 P93@;{c(
1.2.1 Matrix calculating method ………………………………………………………22 @o.I ;}*N
1.2.2 Description of optical coating and presentation of calculation results…………..28 Mb=" Te>|
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Ir]\| t
1.2.4 Approximate formulas…………………………………………………………...33 :gC#hmm^
1.2.5 Other recurrent methods…………………………………………………………34 :v 4]D4\o
1.2.6 The admittance phase plane……………………………………………………...38 4GM6)"#d
1.3 Some common properties of multilayer coatings…………………………………….46 XX~,>Q}H=
1.3.1 The relation between the characteristic matrix and spectral coefficients of a LgYq.>Nl9
multilayer coating ……………………………………………………………….47 aQ~s`^D
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 x)VJFuqy
1.3.3 Transmittance and reflectance of the combination of two multilayer nj4/#W
subsystems ……………………………………………………………………....54 c[e}w+ uB
1.4 The multilayer coatings optical properties: impact of variations in the layer ']oQ]Yx0
parameters……………………………………………………………………………...58 u= yOu^={
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… .e5Mnd%$M
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 1 {) Q[#l
coefficients: probability assessment method ……………………….…………...63 \j.:3X r
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter w#J2 wS
variations ………………………………………………………………………...66 O
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 A)~6Im
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 y> (w\K9W
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 C*l JrFpB
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 'f|o{
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Dhv3jg;lq
central wavelength ………………………………………………………………80 .sA.C] f
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 J^/p (
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 L HmZxi?
1.6.1 Common expressions for spectral coefficients of filter-type systems near central *$*ce|V5
wavelength ………………………………………………………………………88 ]R? 4{t4
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 mcok/,/
Chapter 2 t >sE x:
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 P>6{&(
2.1 Synthesis methods based on merit function optimization …………………………...98 D#z :()VT(
2.1.1 Merit function selection …………………………………………………………98 F<w/PMb
2.1.2 Merit function optimization ……………………………………………………101 y!%CffF2
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 3mni>*q7d
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Hr4}3.8
2.2.1 Needle-like variations of the refractive index ………………………………….115 A(N4N
2.2.2 The principal idea of the method ………………………………………………119 !VK|u8i
2.2.3 Description of the method ……………………………………………………...124 cGD(.=
Bibliography …...………………………………………….……………….………..……130
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