Basics of OPTICS OF MULTILAYER SYSTEMS 7 bS[\5
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Preface……………………………………………………………………….………..……….4 xltu
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Chapter 1 ;i>E @
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: EZBzQ""
THEORY……………………………………………………………………………………….5 p04+"
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 09 s}@C
1.1.1 Layered medium electromagnetic field equations………………………………...5 Bn q\Gg
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 +~O{
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1.1.3 The Fresnel formulas ……………………………………………………………18 [C X?Tt
1.1.4 Other ways of determining amplitude transmittance and reflectance of the UULL:vqq
layered medium…………………………………………………………………..19 s#ZH.z@J
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 =i?,y +<
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 F DX+
1.2.1 Matrix calculating method ………………………………………………………22 {m:R v&T
1.2.2 Description of optical coating and presentation of calculation results…………..28 ArK9E!`^
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 !yrHVc
1.2.4 Approximate formulas…………………………………………………………...33 G9Tix\SpF
1.2.5 Other recurrent methods…………………………………………………………34 |'_<(z
1.2.6 The admittance phase plane……………………………………………………...38 #" -^;Z
1.3 Some common properties of multilayer coatings…………………………………….46 S
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1.3.1 The relation between the characteristic matrix and spectral coefficients of a *'-^R9dN.S
multilayer coating ……………………………………………………………….47 i{qU R P}.
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 G[ j79o
1.3.3 Transmittance and reflectance of the combination of two multilayer BxYA[#fd}
subsystems ……………………………………………………………………....54 V}+;b bUc-
1.4 The multilayer coatings optical properties: impact of variations in the layer Y pj)6d
parameters……………………………………………………………………………...58 FoCkTp+/
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… *DzPkaYD>
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral .+h
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coefficients: probability assessment method ……………………….…………...63 3
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter _1Gut"!{\
variations ………………………………………………………………………...66 "\?G
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 *wcoDQ b;
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ,>v9 Y#U
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 v *'\w#
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ,5*xE\9 G
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the :exuTn
central wavelength ………………………………………………………………80 E,yK` mPp^
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 (OQ
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 q.{/{9
1.6.1 Common expressions for spectral coefficients of filter-type systems near central \w[%n 0
wavelength ………………………………………………………………………88 1:UC\ WW
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 F:GKnbY
Chapter 2 >Fk `h=Wd
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 @$K q<P
2.1 Synthesis methods based on merit function optimization …………………………...98 J5 ( D7rp#
2.1.1 Merit function selection …………………………………………………………98 z }8L}:
2.1.2 Merit function optimization ……………………………………………………101 @ibPL+~-_
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 -GVG1#5
2.2.1 Needle-like variations of the refractive index ………………………………….115 Ik Nt!
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2.2.2 The principal idea of the method ………………………………………………119 $IZZ`Z]B
2.2.3 Description of the method ……………………………………………………...124 % ul{nL:
Bibliography …...………………………………………….……………….………..……130
