Basics of OPTICS OF MULTILAYER SYSTEMS /0'fcjOaQ
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Contents !YuON6{)
Preface……………………………………………………………………….………..……….4 lB YS>4~
Chapter 1 i1kh@s~8UC
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ^+.e5roBKj
THEORY……………………………………………………………………………………….5 oQE_?">w
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 +#2@ G}j
1.1.1 Layered medium electromagnetic field equations………………………………...5 @=^jpSnZ
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 l S Kv*
1.1.3 The Fresnel formulas ……………………………………………………………18 NWq [22X
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the B%?|br
layered medium…………………………………………………………………..19 'JXN*YO
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 cr F9,p
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22
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1.2.1 Matrix calculating method ………………………………………………………22 lVO(9sl*i
1.2.2 Description of optical coating and presentation of calculation results…………..28 M zA
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 DXw9@b
1.2.4 Approximate formulas…………………………………………………………...33 2 gNBPd )I
1.2.5 Other recurrent methods…………………………………………………………34 FL*w( Br.
1.2.6 The admittance phase plane……………………………………………………...38 /3bca !O
1.3 Some common properties of multilayer coatings…………………………………….46 G=0}I Pfp
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 8wN U2yH+D
multilayer coating ……………………………………………………………….47 x<j($iv
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 IT {.^ rP
1.3.3 Transmittance and reflectance of the combination of two multilayer TbSt {TX
subsystems ……………………………………………………………………....54 Ib<5u
1.4 The multilayer coatings optical properties: impact of variations in the layer h3vm< R ;
parameters……………………………………………………………………………...58 n$Oky-P"
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… CMD`b
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral VA*79I#_q
coefficients: probability assessment method ……………………….…………...63 _<&K]e@dp
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 1]zyME
variations ………………………………………………………………………...66 oBGst t@
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 jTxChR
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 m$G?e 9{
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 W.7d{
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 4 w/t$lR
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ztt%l #
central wavelength ………………………………………………………………80 e&VR>VJEA
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 _s#/f5<:B
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 znDtM1sLeV
1.6.1 Common expressions for spectral coefficients of filter-type systems near central AfbA.-
wavelength ………………………………………………………………………88 y*TNJJ|
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 L@x8hUG"
Chapter 2 sfB j A
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 E6d8z=X(
2.1 Synthesis methods based on merit function optimization …………………………...98 Y+5A2Z)f[
2.1.1 Merit function selection …………………………………………………………98 ` W;cft4
2.1.2 Merit function optimization ……………………………………………………101 GF,|;)ly
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ($ 1 <Dj:
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 [Z`:1_^0}
2.2.1 Needle-like variations of the refractive index ………………………………….115 77[; J
2.2.2 The principal idea of the method ………………………………………………119 `0i}}Zo
2.2.3 Description of the method ……………………………………………………...124 >ehWjL`8
Bibliography …...………………………………………….……………….………..……130
