| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS "^]cQ"A
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Contents MHC^8VL
Preface……………………………………………………………………….………..……….4 uF3qD|I\
Chapter 1 5kz)5,KjM
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Mwr"~?\\
THEORY……………………………………………………………………………………….5 (#E.`e1#6
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 go<W( ,O
1.1.1 Layered medium electromagnetic field equations………………………………...5 1{r)L{]
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 G@Z?&"
1.1.3 The Fresnel formulas ……………………………………………………………18 yu/`h5& *
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Zc`BiLzrIG
layered medium…………………………………………………………………..19 M )2`+/4
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 1OF&
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 _I v6pNd/
1.2.1 Matrix calculating method ………………………………………………………22 _\GC(
1.2.2 Description of optical coating and presentation of calculation results…………..28 n= u &uqA*
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 s K5r$Dbr
1.2.4 Approximate formulas…………………………………………………………...33 a0ObBe'
1.2.5 Other recurrent methods…………………………………………………………34 *^wm1|5
1.2.6 The admittance phase plane……………………………………………………...38 _&b4aW9<
1.3 Some common properties of multilayer coatings…………………………………….46 jE/AA!DC#
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 9amaL~m
multilayer coating ……………………………………………………………….47 \ 0f{ S40
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 TTTPxO,
1.3.3 Transmittance and reflectance of the combination of two multilayer #hsx#x||
subsystems ……………………………………………………………………....54 %GS(:]{ n
1.4 The multilayer coatings optical properties: impact of variations in the layer M L>[^F
parameters……………………………………………………………………………...58 = {xE!"
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… rq/I` :
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral D'Y-6W3
coefficients: probability assessment method ……………………….…………...63 q CnZh J
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter eXf22;L z
variations ………………………………………………………………………...66 M!XsJ<jN/
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 9^G/8<^^>
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 |VNnOM
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 07^iP>?
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ssN6M./6
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the @0u~ ?!g@
central wavelength ………………………………………………………………80 x-?Sn' m
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 pj ?f?.^
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central bq:(u4 3
wavelength ………………………………………………………………………88 R'@9]99
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 `I ,,C,{C
Chapter 2 # a8B/-
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 57&b:0`p
2.1 Synthesis methods based on merit function optimization …………………………...98 DRi<6Ob
2.1.1 Merit function selection …………………………………………………………98 -3=#u_
2.1.2 Merit function optimization ……………………………………………………101 D,k"Pa LP
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 !*%WuyCgr4
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 8Hn|cf0
2.2.1 Needle-like variations of the refractive index ………………………………….115 ^8AXxE
2.2.2 The principal idea of the method ………………………………………………119 ? }U( 3
2.2.3 Description of the method ……………………………………………………...124 io{@^1ab
Bibliography …...………………………………………….……………….………..……130
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