| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS BZ.H6r'Q
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Contents cVN|5Y
Preface……………………………………………………………………….………..……….4 TD'1L:mv
Chapter 1 $|KbjpQ
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: GI/o!0"_
THEORY……………………………………………………………………………………….5 3~ylBJJ
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ;IyQqP#,<
1.1.1 Layered medium electromagnetic field equations………………………………...5 p)`JVq,H/B
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 G"]'`2.m
1.1.3 The Fresnel formulas ……………………………………………………………18 :|bPr_&U$
1.1.4 Other ways of determining amplitude transmittance and reflectance of the %5b2vrg~*
layered medium…………………………………………………………………..19 }QK-@T@4<
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 6B=J*8
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Ad[-YT
1.2.1 Matrix calculating method ………………………………………………………22 W>. qGK|l
1.2.2 Description of optical coating and presentation of calculation results…………..28 ^V D14V 3
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ;TYkJH"
1.2.4 Approximate formulas…………………………………………………………...33 `J;_!~:
1.2.5 Other recurrent methods…………………………………………………………34 92EvCtf
1.2.6 The admittance phase plane……………………………………………………...38 PM{kiz^
1.3 Some common properties of multilayer coatings…………………………………….46 ]'{<O3:7
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Lq :Z='Kc
multilayer coating ……………………………………………………………….47 FKPI {l
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 Xh5
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1.3.3 Transmittance and reflectance of the combination of two multilayer \O[Cae:^?
subsystems ……………………………………………………………………....54 *&7Av7S
1.4 The multilayer coatings optical properties: impact of variations in the layer i9Qx {f88
parameters……………………………………………………………………………...58 ffd yDUzQ
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 8D-g%Aj-
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral I / c*
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coefficients: probability assessment method ……………………….…………...63 Hly$ Wm
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter c}QjKJ-c
variations ………………………………………………………………………...66 g94NU
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 <3'r&ks
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 I_Q '+d
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ^XV$J-
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 "!2 Fy-Y
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Xr-eDU Ei
central wavelength ………………………………………………………………80 h/d&P
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 |VIBSty2d
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 t<rhrW75P
1.6.1 Common expressions for spectral coefficients of filter-type systems near central f5AK@]4G
wavelength ………………………………………………………………………88 bV} 43zI.
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 p tMysYT'
Chapter 2 .- {B
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ^b'[ 81%
2.1 Synthesis methods based on merit function optimization …………………………...98 ? r^ +-
2.1.1 Merit function selection …………………………………………………………98 MbYAK-l.h
2.1.2 Merit function optimization ……………………………………………………101 = F6J%$
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 -[Q%Vv!8
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 |iJ37QIM
2.2.1 Needle-like variations of the refractive index ………………………………….115 dF"Sz4DY#
2.2.2 The principal idea of the method ………………………………………………119 W,:*`
2.2.3 Description of the method ……………………………………………………...124 jvA]EN6$;~
Bibliography …...………………………………………….……………….………..……130
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