Basics of OPTICS OF MULTILAYER SYSTEMS /w{ DyHT
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Contents gT*0WgB
Preface……………………………………………………………………….………..……….4 Rm 1obP
Chapter 1 Q@hx +aM
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 3!&lio+<
THEORY……………………………………………………………………………………….5 J]5 sWs
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 x]lv:m\)jT
1.1.1 Layered medium electromagnetic field equations………………………………...5 DoAK]zyJA
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 PhF3' ">
1.1.3 The Fresnel formulas ……………………………………………………………18 S /& _
1.1.4 Other ways of determining amplitude transmittance and reflectance of the |i5A
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layered medium…………………………………………………………………..19 d paZ6g
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ?as)vYP
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 P9v N5|"M
1.2.1 Matrix calculating method ………………………………………………………22 8SK}#44Xz
1.2.2 Description of optical coating and presentation of calculation results…………..28 h=um t<&D
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ~hPp)- A
1.2.4 Approximate formulas…………………………………………………………...33 h|"98PI
1.2.5 Other recurrent methods…………………………………………………………34 .P.TqT@)r
1.2.6 The admittance phase plane……………………………………………………...38 z-K?Ak B1
1.3 Some common properties of multilayer coatings…………………………………….46 }Og zSnR
1.3.1 The relation between the characteristic matrix and spectral coefficients of a )e|Cd} 2
multilayer coating ……………………………………………………………….47 I{Ate L
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 LF?83P,UJ#
1.3.3 Transmittance and reflectance of the combination of two multilayer aPaG nP:^
subsystems ……………………………………………………………………....54 BL6t>
1.4 The multilayer coatings optical properties: impact of variations in the layer !1K<iz_8
parameters……………………………………………………………………………...58 8P.UB{QNe
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… h" cLZM:6
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral DbFT NoVR
coefficients: probability assessment method ……………………….…………...63 Xjc{={@p3
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter c%w@-n`
variations ………………………………………………………………………...66 pUk i!TA
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 O79;tA<k
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 1[o] u:m9U
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 B) J.(k`p
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 l;zp f|.Vc
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the '$*d:1
central wavelength ………………………………………………………………80 /\*,|y\ <
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 c)gG
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ,A9pj k'
1.6.1 Common expressions for spectral coefficients of filter-type systems near central qN}kDT
wavelength ………………………………………………………………………88 2
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 I
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Chapter 2 G=a.Wff
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 mz;S*ONlV
2.1 Synthesis methods based on merit function optimization …………………………...98 !/, 6+2Ru
2.1.1 Merit function selection …………………………………………………………98 @gc lks/M
2.1.2 Merit function optimization ……………………………………………………101 _S5\5[^
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 a(&!{Y1bt
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 1$oVcDLl
2.2.1 Needle-like variations of the refractive index ………………………………….115 |9ro&KA
2.2.2 The principal idea of the method ………………………………………………119 b}4k-hZL
2.2.3 Description of the method ……………………………………………………...124 evr yk,x
Bibliography …...………………………………………….……………….………..……130
