Basics of OPTICS OF MULTILAYER SYSTEMS MCh8Q|Yx4
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Contents (X!/t w,.
Preface……………………………………………………………………….………..……….4 eU%5CVH.v
Chapter 1 G)#
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SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: tB_ V%qH
THEORY……………………………………………………………………………………….5 tMAa$XrZj
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 j%p~.kW5
1.1.1 Layered medium electromagnetic field equations………………………………...5 yN>"r2
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 !FSraW2
1.1.3 The Fresnel formulas ……………………………………………………………18 #
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the :ZL>JVk
layered medium…………………………………………………………………..19 l*v([@A\
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ,6M- xSDs
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 s`#hk ^{
1.2.1 Matrix calculating method ………………………………………………………22 +W;B8^imG
1.2.2 Description of optical coating and presentation of calculation results…………..28 SAH\'v0
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 "~V}MPt
1.2.4 Approximate formulas…………………………………………………………...33 /t>o
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1.2.5 Other recurrent methods…………………………………………………………34 \Flq8S /t^
1.2.6 The admittance phase plane……………………………………………………...38 rM?D7a{q
1.3 Some common properties of multilayer coatings…………………………………….46 h5f>'l z
1.3.1 The relation between the characteristic matrix and spectral coefficients of a @\"*Z&]8z0
multilayer coating ……………………………………………………………….47 ^1~/FU
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 4|2$b:t
1.3.3 Transmittance and reflectance of the combination of two multilayer Q}=RG//0*
subsystems ……………………………………………………………………....54 ("lcL2Bq
1.4 The multilayer coatings optical properties: impact of variations in the layer Q?"[zX1
parameters……………………………………………………………………………...58 dX$])b_Uw
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… xJ"Zg ]d{
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral hf?^#=k^
coefficients: probability assessment method ……………………….…………...63 )K?GAj]Pq
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter lwY{rWo
variations ………………………………………………………………………...66 KPR{5
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 M:I, j
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 cbwzT0
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 3FXMM&w
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 T ^nX+;:|
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the xlwsZm{V
central wavelength ………………………………………………………………80 aJ}sYf^
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 K[kmfXKu
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 [e}]K:
1.6.1 Common expressions for spectral coefficients of filter-type systems near central bv+e'$U3
wavelength ………………………………………………………………………88 # !5N be
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 7q^/.:wlf
Chapter 2 Tb)x8-0
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 RyhR#
2.1 Synthesis methods based on merit function optimization …………………………...98 b? Jm)
2.1.1 Merit function selection …………………………………………………………98 kdHql>0
2.1.2 Merit function optimization ……………………………………………………101 0iL8i#y*
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 E{6}'FG+A
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 +[qkG.
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2.2.1 Needle-like variations of the refractive index ………………………………….115 gK<- * v
2.2.2 The principal idea of the method ………………………………………………119 l3afuD :
2.2.3 Description of the method ……………………………………………………...124 |M?HdxPa
Bibliography …...………………………………………….……………….………..……130
