| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS Q&8epO |J
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Contents {"mb)z r
Preface……………………………………………………………………….………..……….4 *_/n$&
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Chapter 1 Tno 0Q
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SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: A ga{EKd
THEORY……………………………………………………………………………………….5 sDP8!
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 -~ H?R
1.1.1 Layered medium electromagnetic field equations………………………………...5 i^}ib
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 5q
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1.1.3 The Fresnel formulas ……………………………………………………………18 1-}M5]Y
1.1.4 Other ways of determining amplitude transmittance and reflectance of the /dwj:g0y
layered medium…………………………………………………………………..19 j
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 yQE9S+%M
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 q" @%W K
1.2.1 Matrix calculating method ………………………………………………………22 h7J 4 p
1.2.2 Description of optical coating and presentation of calculation results…………..28 T4h&ly5
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1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 %,f(jQfg_
1.2.4 Approximate formulas…………………………………………………………...33 <b_?[%(u
1.2.5 Other recurrent methods…………………………………………………………34 n7pjj
1.2.6 The admittance phase plane……………………………………………………...38 gfQ1p ?
1.3 Some common properties of multilayer coatings…………………………………….46 GU7f27p
1.3.1 The relation between the characteristic matrix and spectral coefficients of a :|\)=4
multilayer coating ……………………………………………………………….47 ][B>`gC-
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 jS4 fANG
1.3.3 Transmittance and reflectance of the combination of two multilayer yeI c Q%
subsystems ……………………………………………………………………....54 mOntc6&]
1.4 The multilayer coatings optical properties: impact of variations in the layer !'*1;OQ
parameters……………………………………………………………………………...58 [WO>}rGw4
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… q+W* ?a)
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral lf}%^ od~6
coefficients: probability assessment method ……………………….…………...63 * Ke \Yb
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter {QVs[
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variations ………………………………………………………………………...66 'wVi>{?
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 .4XX
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 > r.W \
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 0X4I-xx#
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 b=XHE1^rM
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the SHRn $<
central wavelength ………………………………………………………………80 f}c C nJK
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 [ ps 5
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 g) nT]+&
1.6.1 Common expressions for spectral coefficients of filter-type systems near central j.+ }Z |
wavelength ………………………………………………………………………88 k:#u%Z
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 kHd`k.nW
Chapter 2 3M5wF6nY[[
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 e# (X++G
2.1 Synthesis methods based on merit function optimization …………………………...98 /ommM
2.1.1 Merit function selection …………………………………………………………98 ` NCH^ )
2.1.2 Merit function optimization ……………………………………………………101 uA~?z :~=
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 1@xdzKua1
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 _*CbtQb5
2.2.1 Needle-like variations of the refractive index ………………………………….115 G(gZL%M6
2.2.2 The principal idea of the method ………………………………………………119 >*WT[UU
2.2.3 Description of the method ……………………………………………………...124 Ca
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Bibliography …...………………………………………….……………….………..……130
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