Basics of OPTICS OF MULTILAYER SYSTEMS OYWHiXE6]
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Contents 6l4=
Preface……………………………………………………………………….………..……….4 ipGxi [Vav
Chapter 1 q!U$\ Q&
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: R%}<z*~NE@
THEORY……………………………………………………………………………………….5 !+Y +P?
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 d#d&C JAfr
1.1.1 Layered medium electromagnetic field equations………………………………...5 Ici4y*`M
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ,']CqhL6=R
1.1.3 The Fresnel formulas ……………………………………………………………18 vmNI$ KZM
1.1.4 Other ways of determining amplitude transmittance and reflectance of the {0,6- dd5
layered medium…………………………………………………………………..19 <a_ (qh@B
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 l SK q
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 fH9"sBiO
1.2.1 Matrix calculating method ………………………………………………………22 1]0;2THx
1.2.2 Description of optical coating and presentation of calculation results…………..28 ~AaEa,LQ
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 0'A"]6
1.2.4 Approximate formulas…………………………………………………………...33 a Yk: CYQ
1.2.5 Other recurrent methods…………………………………………………………34 WB'1_a
1.2.6 The admittance phase plane……………………………………………………...38 qo \9 ,<
1.3 Some common properties of multilayer coatings…………………………………….46 rrgOp5aV"
1.3.1 The relation between the characteristic matrix and spectral coefficients of a $A,YQH+
multilayer coating ……………………………………………………………….47 [h
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 3jW& S
1.3.3 Transmittance and reflectance of the combination of two multilayer Au)~"N~p?
subsystems ……………………………………………………………………....54 vA op#V
1.4 The multilayer coatings optical properties: impact of variations in the layer YE*|KL^
parameters……………………………………………………………………………...58 Pz
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… x{ `{j'
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ->IZZ 5G<
coefficients: probability assessment method ……………………….…………...63 /4 K d
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter *a8 <cf
variations ………………………………………………………………………...66 ^gyI-S(;
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 RTg\c[=w
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 2-UD^;0
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 {!? M!/d
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 v/~&n
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 'ks .TS&
central wavelength ………………………………………………………………80 |XNw&X1VF
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 )J+ OyR=
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 .X.6<@$
1.6.1 Common expressions for spectral coefficients of filter-type systems near central }C[ "'tLX
wavelength ………………………………………………………………………88 }z9v *C
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 hRB?NM
Chapter 2 O +< +yQl
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 {=&( { cS
2.1 Synthesis methods based on merit function optimization …………………………...98 r.Z g<T
2.1.1 Merit function selection …………………………………………………………98 5"1wz
2.1.2 Merit function optimization ……………………………………………………101 n dN* X'
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Jwj=a1I 53
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 mv,a>Cvs[
2.2.1 Needle-like variations of the refractive index ………………………………….115 up8d3
2.2.2 The principal idea of the method ………………………………………………119 5f0g7w =-
2.2.3 Description of the method ……………………………………………………...124 74
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Bibliography …...………………………………………….……………….………..……130
