| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS `Vh&XH \S
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Contents 2-:` lrVd
Preface……………………………………………………………………….………..……….4 +^a@U ^V
Chapter 1 0:eK}tC
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Hlj3z3
THEORY……………………………………………………………………………………….5 P}-S[[b73s
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 = Ru q
1.1.1 Layered medium electromagnetic field equations………………………………...5 :kucDQE({?
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 }$:ha>
1.1.3 The Fresnel formulas ……………………………………………………………18 bbWW|PtWwP
1.1.4 Other ways of determining amplitude transmittance and reflectance of the &9xcP.3
layered medium…………………………………………………………………..19 7[8d-Sf24{
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 >P2 QL>P
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 8+~'T|
1.2.1 Matrix calculating method ………………………………………………………22 xic&m5j
m
1.2.2 Description of optical coating and presentation of calculation results…………..28 ;AT~?o`n
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ET|4a(x
1.2.4 Approximate formulas…………………………………………………………...33 AUR{O
1.2.5 Other recurrent methods…………………………………………………………34 wVUm!Y
1.2.6 The admittance phase plane……………………………………………………...38 #F+b^WT R
1.3 Some common properties of multilayer coatings…………………………………….46 @T{I;8S
1.3.1 The relation between the characteristic matrix and spectral coefficients of a |l,0bkY@&
multilayer coating ……………………………………………………………….47 |LE*R@|3$
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ?gS~9jgcd
1.3.3 Transmittance and reflectance of the combination of two multilayer OWmI$_L
subsystems ……………………………………………………………………....54 ~-NlTx
1.4 The multilayer coatings optical properties: impact of variations in the layer *w 1R>
parameters……………………………………………………………………………...58 @FuX^Q.[
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… |exjrsmM*
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Il!#]
coefficients: probability assessment method ……………………….…………...63 5Veybchy "
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter e'dZ2;X$zo
variations ………………………………………………………………………...66 <Kq!)) J'
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 !:| D[1m
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 mQ:5(] v
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 9K#U<Q0b'
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 vrXNa8,L
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the lLuAg ds`
central wavelength ………………………………………………………………80 g=kuM
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ,in"8aT}~
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 WO{9S%ck
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 50`<[w<J
q
wavelength ………………………………………………………………………88 Evq^c5n>{
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 @ {8x L
Chapter 2 B6]M\4v
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 Su[f"2oR
2.1 Synthesis methods based on merit function optimization …………………………...98 W$u/tRF
2.1.1 Merit function selection …………………………………………………………98 QCvst*
2.1.2 Merit function optimization ……………………………………………………101 |FZIUS{]
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 !T26#>mV
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 q=uJ^ N
2.2.1 Needle-like variations of the refractive index ………………………………….115 ,F0bkNBG
2.2.2 The principal idea of the method ………………………………………………119
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2.2.3 Description of the method ……………………………………………………...124 (J\Qo9Il
Bibliography …...………………………………………….……………….………..……130
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