| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS &;9<a^td
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Contents :g<dwuVO
Preface……………………………………………………………………….………..……….4 # FaR?L![Y
Chapter 1 j-
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SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Vzbl* Zmx
THEORY……………………………………………………………………………………….5 FG#E?G
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 zCvR/
1.1.1 Layered medium electromagnetic field equations………………………………...5 z=)5M*h
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ^r ;}6
1.1.3 The Fresnel formulas ……………………………………………………………18 m
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the T_AZCl4d
layered medium…………………………………………………………………..19 JpS:}yyJ>N
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 gW gK
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 9zO;sg ;3
1.2.1 Matrix calculating method ………………………………………………………22 z8z U3?
1.2.2 Description of optical coating and presentation of calculation results…………..28 7Ox vq^[
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 P!bm $h*3?
1.2.4 Approximate formulas…………………………………………………………...33 ={maCYlE.
1.2.5 Other recurrent methods…………………………………………………………34 r="X\ [on
1.2.6 The admittance phase plane……………………………………………………...38 :X`J1E]Rjd
1.3 Some common properties of multilayer coatings…………………………………….46 s?%1/&.~
1.3.1 The relation between the characteristic matrix and spectral coefficients of a l@#X]3h!
multilayer coating ……………………………………………………………….47 $8i t&/JP,
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 J_P2% b=C
1.3.3 Transmittance and reflectance of the combination of two multilayer -QS_bQG%
subsystems ……………………………………………………………………....54 &5d>jEaB}
1.4 The multilayer coatings optical properties: impact of variations in the layer 3wR5:O$H
parameters……………………………………………………………………………...58 J)g(Nw,O
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… toIljca
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral yxA0#6 so
coefficients: probability assessment method ……………………….…………...63 2?
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ?6j@EJ<2q
variations ………………………………………………………………………...66 >{GC@Cw
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 u4+VG5.rhT
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 W=)}=^N0
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 'inWV* P*g
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 `VB jH]$
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the R~X l(O
central wavelength ………………………………………………………………80 ? +Qbr$]
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 aUA+%
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 M>I}^Zp!
1.6.1 Common expressions for spectral coefficients of filter-type systems near central OH=Ffy F,
wavelength ………………………………………………………………………88 VJr ?`
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 @ $(4;ar
Chapter 2 'm/b+9?.
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 =
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2.1 Synthesis methods based on merit function optimization …………………………...98 \-sD RW
2.1.1 Merit function selection …………………………………………………………98 qvk?5#B
2.1.2 Merit function optimization ……………………………………………………101 NU
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2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 HVu_@[SYR3
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 [|F.*06SK
2.2.1 Needle-like variations of the refractive index ………………………………….115 2,_BO6
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2.2.2 The principal idea of the method ………………………………………………119
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2.2.3 Description of the method ……………………………………………………...124 ied<1[~S
Bibliography …...………………………………………….……………….………..……130
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