| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS }}L :6^
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Contents &-M>@BMy
Preface……………………………………………………………………….………..……….4 +ve S~
Chapter 1 ehe hTP
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: EY'kIV k
THEORY……………………………………………………………………………………….5 wj$l 093
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 8[@aX;I
1.1.1 Layered medium electromagnetic field equations………………………………...5 jNRR=0
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ,=!_7'm
1.1.3 The Fresnel formulas ……………………………………………………………18 Uj]Tdg
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 2ZUI~:U Z
layered medium…………………………………………………………………..19 rD ^ b{]E3
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 V?pqK QL0
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 zY_?$9l0
1.2.1 Matrix calculating method ………………………………………………………22 ,i0Dw"/u
1.2.2 Description of optical coating and presentation of calculation results…………..28 ~^Ceru"<
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 0m8mHJ<&
1.2.4 Approximate formulas…………………………………………………………...33 qaE>])
1.2.5 Other recurrent methods…………………………………………………………34 }.`no
1.2.6 The admittance phase plane……………………………………………………...38
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1.3 Some common properties of multilayer coatings…………………………………….46 2;&K*>g&.
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 3(?V!y{@
multilayer coating ……………………………………………………………….47 xLX 2F
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 L TsX{z
1.3.3 Transmittance and reflectance of the combination of two multilayer 5D 9n>K4|
subsystems ……………………………………………………………………....54 ldFK3+V
1.4 The multilayer coatings optical properties: impact of variations in the layer (^),G-]
parameters……………………………………………………………………………...58 jTSN`R9@
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… P_7QZ0k/
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral U1oZ\Mh
coefficients: probability assessment method ……………………….…………...63 M{(g"ha
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter vMD%.tk
variations ………………………………………………………………………...66 (*6kYkUK
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 hD) 'bd
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 {S l#z }@s
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 7\;4 d4u
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 VK)vb.:
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the +)J;4B
central wavelength ………………………………………………………………80 X%>n vp
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 E }qW'
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 *P:!lO\|
1.6.1 Common expressions for spectral coefficients of filter-type systems near central x`3F?[#l
wavelength ………………………………………………………………………88 O%H c%EfG
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92
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Chapter 2 >_3P6- L>
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 +mu.W
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2.1 Synthesis methods based on merit function optimization …………………………...98 )c6t`SBwi
2.1.1 Merit function selection …………………………………………………………98 -e2f8PV?3
2.1.2 Merit function optimization ……………………………………………………101 Xh5&J9pw
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 v.Vd js
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 U))2?#
2.2.1 Needle-like variations of the refractive index ………………………………….115 jV
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2.2.2 The principal idea of the method ………………………………………………119 2%{(BT6
2.2.3 Description of the method ……………………………………………………...124 D*_Z"q_B
Bibliography …...………………………………………….……………….………..……130
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