| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS )4ilCS&
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Contents fpvvV(
Preface……………………………………………………………………….………..……….4 tqf& N0*
Chapter 1 .Z=Ce!
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: BR36}iS;V
THEORY……………………………………………………………………………………….5 {/d4PI7)tK
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 7qg<[
1.1.1 Layered medium electromagnetic field equations………………………………...5 +2DE/wE]e+
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 dTN$y\
1.1.3 The Fresnel formulas ……………………………………………………………18 CV&zi 6
1.1.4 Other ways of determining amplitude transmittance and reflectance of the _BV`,`8}
layered medium…………………………………………………………………..19 >5;N64]!)
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 A Jyq>0p
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 r <*O
1.2.1 Matrix calculating method ………………………………………………………22 {'h_'Y`bOQ
1.2.2 Description of optical coating and presentation of calculation results…………..28 x(P KFn
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 5"JU?e59M
1.2.4 Approximate formulas…………………………………………………………...33 Gg%tV Qu
1.2.5 Other recurrent methods…………………………………………………………34 Vkr`17`G
1.2.6 The admittance phase plane……………………………………………………...38 p9-0?(]
1.3 Some common properties of multilayer coatings…………………………………….46 b~_B
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1.3.1 The relation between the characteristic matrix and spectral coefficients of a |gnAqkW0
multilayer coating ……………………………………………………………….47 74K)aA
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 HU &)
1.3.3 Transmittance and reflectance of the combination of two multilayer _>P k8~m
subsystems ……………………………………………………………………....54 x;]x _f z
1.4 The multilayer coatings optical properties: impact of variations in the layer GQN98Y+h
parameters……………………………………………………………………………...58 b5j*xZv
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Lt1U+o[ot
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral -bypuMQ-p
coefficients: probability assessment method ……………………….…………...63 n]+.
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter lv4(4$T
variations ………………………………………………………………………...66 v&fGCD\ R
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 &1wpGJqm
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 .APVjqG
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 G0}Dq M Ti
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 D(Qa>B"1
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the x>%joKY[
central wavelength ………………………………………………………………80 Ap%O~wA'
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 p8=|5.
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 {h#6z>p"u2
1.6.1 Common expressions for spectral coefficients of filter-type systems near central S'o ]=&
wavelength ………………………………………………………………………88 q7,^E`5EgU
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 R<_?W#$j
Chapter 2 XaW4 C-D&
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 .Gh%p`<
2.1 Synthesis methods based on merit function optimization …………………………...98 2 F1ZAl
2.1.1 Merit function selection …………………………………………………………98 *>k!hq;j
2.1.2 Merit function optimization ……………………………………………………101 } W$8M>l
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 iJ)0Y~
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 o(qEkR:4kd
2.2.1 Needle-like variations of the refractive index ………………………………….115 I"1CgKYK^+
2.2.2 The principal idea of the method ………………………………………………119 "tL2F*F"6X
2.2.3 Description of the method ……………………………………………………...124 $jG4pPG
Bibliography …...………………………………………….……………….………..……130
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