| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS v
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Preface……………………………………………………………………….………..……….4 %4rlB$x
Chapter 1 4J`-&05O
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 6(?@B^S>2
THEORY……………………………………………………………………………………….5 0Y* "RbG
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 $ #/8l58
1.1.1 Layered medium electromagnetic field equations………………………………...5 20 $Tky_
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 c ]VK%zl
1.1.3 The Fresnel formulas ……………………………………………………………18 fA?Wf[`x
1.1.4 Other ways of determining amplitude transmittance and reflectance of the =>>Dnp
layered medium…………………………………………………………………..19 r9(c<E?,h
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 xS/=9l/G
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 w<!&%
1.2.1 Matrix calculating method ………………………………………………………22 D->E& #
1.2.2 Description of optical coating and presentation of calculation results…………..28 JcP<@bb>B
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 M@q)\UQ'
1.2.4 Approximate formulas…………………………………………………………...33 1$# r)S[*
1.2.5 Other recurrent methods…………………………………………………………34 >o p/ <?<
1.2.6 The admittance phase plane……………………………………………………...38 7o+VhW<|5
1.3 Some common properties of multilayer coatings…………………………………….46 B^/Cx
1.3.1 The relation between the characteristic matrix and spectral coefficients of a $B >L_~cS
multilayer coating ……………………………………………………………….47 Dz.kJ_"Ro
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 8 rE`
1.3.3 Transmittance and reflectance of the combination of two multilayer 9\Rk(dd
subsystems ……………………………………………………………………....54 |@b|Q,
1.4 The multilayer coatings optical properties: impact of variations in the layer ML$#&Z@
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parameters……………………………………………………………………………...58 *a_QuEw _k
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… { ~{D(k
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ](- [
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coefficients: probability assessment method ……………………….…………...63 c\P}Z Q
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter uVZm9Sp
variations ………………………………………………………………………...66 +LWgby4q
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 4K;0.W;~|
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 >4>.
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ? OO !M
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 R. ryy
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the xXV15%&
central wavelength ………………………………………………………………80 Nt<Ac&6
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ByWad@- 6i
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Z'^.H3YvL
1.6.1 Common expressions for spectral coefficients of filter-type systems near central c7?|Tipc
wavelength ………………………………………………………………………88 _mQ~[}y+?
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 JP]4* l
Chapter 2 (|6!pQ7
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 86&r;c :
2.1 Synthesis methods based on merit function optimization …………………………...98 M tDJ1I%
2.1.1 Merit function selection …………………………………………………………98 ;''S} ;
2.1.2 Merit function optimization ……………………………………………………101 1U~'8=-
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 -Vg 0J6x
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 0j#$Swa
2.2.1 Needle-like variations of the refractive index ………………………………….115 L(`q3>iC4.
2.2.2 The principal idea of the method ………………………………………………119 {; UBW7{
2.2.3 Description of the method ……………………………………………………...124 . d)H2X
Bibliography …...………………………………………….……………….………..……130
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