Basics of OPTICS OF MULTILAYER SYSTEMS cimp/n"
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Contents Rd2qe /
Preface……………………………………………………………………….………..……….4 u2[ iM d
Chapter 1 Ge2q%
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: I` p+Qt
THEORY……………………………………………………………………………………….5 O]lSWEe
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Ai:BEPKe
1.1.1 Layered medium electromagnetic field equations………………………………...5 i'4B3
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 (}a8"]Z
1.1.3 The Fresnel formulas ……………………………………………………………18 {wO 3< 9
1.1.4 Other ways of determining amplitude transmittance and reflectance of the g,}_G3[j0m
layered medium…………………………………………………………………..19 HIQ _%L4]
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 " 7!;KH c
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 F5?m6`g?
1.2.1 Matrix calculating method ………………………………………………………22 IAYR+c
1.2.2 Description of optical coating and presentation of calculation results…………..28 ]+(6,ct&.
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 aEM %R<e
1.2.4 Approximate formulas…………………………………………………………...33 ' qWALu
1.2.5 Other recurrent methods…………………………………………………………34 uZc`jNc\
1.2.6 The admittance phase plane……………………………………………………...38 v 0
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1.3 Some common properties of multilayer coatings…………………………………….46 } ~h3c|
1.3.1 The relation between the characteristic matrix and spectral coefficients of a o}W%I/s
multilayer coating ……………………………………………………………….47 /]=C{)8
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 \Z]UA&v_
1.3.3 Transmittance and reflectance of the combination of two multilayer NPCs('cd>?
subsystems ……………………………………………………………………....54 }2< r,
1.4 The multilayer coatings optical properties: impact of variations in the layer /`f^Y>4gD
parameters……………………………………………………………………………...58 !_`&Wks
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 2Or'c`|
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral |zR8rqBX;
coefficients: probability assessment method ……………………….…………...63 E}Y!O"CAV
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter fBalTk;G{U
variations ………………………………………………………………………...66 9;_sC
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ?3%` bY+3;
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 3 3#0J$j7
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 i
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 [onGNq?#
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ]vgB4~4#LP
central wavelength ………………………………………………………………80 7[I}*3Q'
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 {k>Ca
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 qR(\5 }
1.6.1 Common expressions for spectral coefficients of filter-type systems near central h!&prYx
wavelength ………………………………………………………………………88 "]z-: \ V
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 k *Q<3@S
Chapter 2 j<u@j+V
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 cc#gEm)3C
2.1 Synthesis methods based on merit function optimization …………………………...98 99}(~B
2.1.1 Merit function selection …………………………………………………………98 *"D3E7AO
2.1.2 Merit function optimization ……………………………………………………101 KHgBo} 6
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 2T fz=7h$
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 :X.b}^ Z(
2.2.1 Needle-like variations of the refractive index ………………………………….115 ZkA U17f
2.2.2 The principal idea of the method ………………………………………………119 V\u>"3BQw
2.2.3 Description of the method ……………………………………………………...124 Cg&e(
Bibliography …...………………………………………….……………….………..……130
