Basics of OPTICS OF MULTILAYER SYSTEMS Y9N:%[ :>W
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Contents X9J^Olq
Preface……………………………………………………………………….………..……….4 =z+zg^wsT
Chapter 1 X%sc :V
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ?(z3/ "g]
THEORY……………………………………………………………………………………….5 N*#SY$!y
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 i \~4W$4I
1.1.1 Layered medium electromagnetic field equations………………………………...5 827N?pU$)
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 :BS`Q/<w
1.1.3 The Fresnel formulas ……………………………………………………………18 '@FKgy;B)-
1.1.4 Other ways of determining amplitude transmittance and reflectance of the [(hENX}o :
layered medium…………………………………………………………………..19 wC 19
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 .dV!d u
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 6m9Z5:xG
1.2.1 Matrix calculating method ………………………………………………………22 yI!K
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1.2.2 Description of optical coating and presentation of calculation results…………..28 z|Xl%8
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 YG_3@`-<
1.2.4 Approximate formulas…………………………………………………………...33 eL.S="
1.2.5 Other recurrent methods…………………………………………………………34 xAI<<[-
1.2.6 The admittance phase plane……………………………………………………...38 JW $#~"@r
1.3 Some common properties of multilayer coatings…………………………………….46 R!O'DM+
1.3.1 The relation between the characteristic matrix and spectral coefficients of a fqi5 84
multilayer coating ……………………………………………………………….47 @m6E*2Gg
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 B N=,>-O%
1.3.3 Transmittance and reflectance of the combination of two multilayer ]du pU"VV
subsystems ……………………………………………………………………....54 lH[N*9G(
1.4 The multilayer coatings optical properties: impact of variations in the layer jm!G@k6TA
parameters……………………………………………………………………………...58 <H.Ml>q:r
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ^J327
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral BkcOsJIz
coefficients: probability assessment method ……………………….…………...63 MkQSq
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter q8U]Hyp(`
variations ………………………………………………………………………...66 z;-2xD0&U[
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 B, 67 6~I
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 3KGDS9I
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 z~F!zigNAc
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 &{>~ |^
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ?D#Vh a
central wavelength ………………………………………………………………80 _z_uz \#,
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 oD.f/hi0|
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 2`;
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central m2_B(-
wavelength ………………………………………………………………………88 B;EdLs}
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 2a{ eJ89f
Chapter 2 PpbW+}aCF
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 RxqXGM`4
2.1 Synthesis methods based on merit function optimization …………………………...98 W>Zce="_gN
2.1.1 Merit function selection …………………………………………………………98 :
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2.1.2 Merit function optimization ……………………………………………………101 `=oN &!
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 !=a 8^CV
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 RAe:$Iv$!v
2.2.1 Needle-like variations of the refractive index ………………………………….115 ,+2ytN*
2.2.2 The principal idea of the method ………………………………………………119 Lm8 cY
2.2.3 Description of the method ……………………………………………………...124 SgJQH7N
Bibliography …...………………………………………….……………….………..……130
