| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS *A2J[,?c
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Contents / _v5 B>
Preface……………………………………………………………………….………..……….4 {U(-cdU{e`
Chapter 1 L~A"%T,/h
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: T8>:@EL-k
THEORY……………………………………………………………………………………….5 .6SdSB ^M
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 W3* BdpTw
1.1.1 Layered medium electromagnetic field equations………………………………...5 7a0Z I
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 [ CBA Lj5
1.1.3 The Fresnel formulas ……………………………………………………………18 c#nFm&}dm
1.1.4 Other ways of determining amplitude transmittance and reflectance of the `;WiTE)&)
layered medium…………………………………………………………………..19 >i~W$; t
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 I<|)uK7
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 QE}S5#_"
1.2.1 Matrix calculating method ………………………………………………………22 uS bOGhP
1.2.2 Description of optical coating and presentation of calculation results…………..28 ,@%1q)S?A
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 +o(t5O[G
1.2.4 Approximate formulas…………………………………………………………...33 W%b <(T;
1.2.5 Other recurrent methods…………………………………………………………34 0z/tceW'F
1.2.6 The admittance phase plane……………………………………………………...38 Lx,"jA/
1.3 Some common properties of multilayer coatings…………………………………….46 hXM8`iFW5
1.3.1 The relation between the characteristic matrix and spectral coefficients of a jV8mn{<
multilayer coating ……………………………………………………………….47 CeS8I-,
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 q7mqzMDk
1.3.3 Transmittance and reflectance of the combination of two multilayer #)q}Jw4]j
subsystems ……………………………………………………………………....54 1;3oGuHj8
1.4 The multilayer coatings optical properties: impact of variations in the layer +l@H[r;$
parameters……………………………………………………………………………...58 OGg9e
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… z*ZEw
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ^Tc&?\3
coefficients: probability assessment method ……………………….…………...63 nH}api^0A
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter (f5 !36mz
variations ………………………………………………………………………...66 'IBs/9=ZC
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 A?|KA<&m#u
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Tk $rwTCl
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 mfFC@~|g
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 'VFxg,
central wavelength ………………………………………………………………80 \$ ^ z.
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 <M nz R
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 -liVYI2s
1.6.1 Common expressions for spectral coefficients of filter-type systems near central l>h% J,W
wavelength ………………………………………………………………………88 n|lXBCY7K
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 w7p%6m
Chapter 2 \D?6_
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 N~l(ng9'U
2.1 Synthesis methods based on merit function optimization …………………………...98 uzG<(Q pu
2.1.1 Merit function selection …………………………………………………………98 ]0by6hQ
2.1.2 Merit function optimization ……………………………………………………101 iI+ kZI-
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 a 1 M-F3
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 }|H]> U&
2.2.1 Needle-like variations of the refractive index ………………………………….115 H)t YxW
2.2.2 The principal idea of the method ………………………………………………119 uljd)kLy4O
2.2.3 Description of the method ……………………………………………………...124 M |?qSFv:
Bibliography …...………………………………………….……………….………..……130
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