Basics of OPTICS OF MULTILAYER SYSTEMS jEad VM 9
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Contents @\a- =
Preface……………………………………………………………………….………..……….4 xN ]bRr
Chapter 1 622) . N4
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: P'+*d#*S
THEORY……………………………………………………………………………………….5 9UZX+@[F
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 J.*=7 zmw
1.1.1 Layered medium electromagnetic field equations………………………………...5 %F7k| Na
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 %9K@`v-
1.1.3 The Fresnel formulas ……………………………………………………………18 ScD9Ct*):C
1.1.4 Other ways of determining amplitude transmittance and reflectance of the hI
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layered medium…………………………………………………………………..19 cVMTT]cj1
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 7RZ7q@@fgh
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Ic*Q( X
1.2.1 Matrix calculating method ………………………………………………………22 e) M1$
1.2.2 Description of optical coating and presentation of calculation results…………..28 M:~#"lfK
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 [,c>-jA5
1.2.4 Approximate formulas…………………………………………………………...33 =J,:j[D(
1.2.5 Other recurrent methods…………………………………………………………34 Z=xrj E
1.2.6 The admittance phase plane……………………………………………………...38 Ni`qU(I'|
1.3 Some common properties of multilayer coatings…………………………………….46 '"&?u8u)
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ?$ ?Ni)Z
multilayer coating ……………………………………………………………….47 @AwH?7(b
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 Ez )Go6Q
1.3.3 Transmittance and reflectance of the combination of two multilayer bFpwq#PDW>
subsystems ……………………………………………………………………....54 :JlJB
1.4 The multilayer coatings optical properties: impact of variations in the layer LakP'P6`E
parameters……………………………………………………………………………...58 GM5::M]fS
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Y<B| e91C
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral l!b#v`
coefficients: probability assessment method ……………………….…………...63 1~+w7Ar =(
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter h E;
variations ………………………………………………………………………...66 ]T$~a8
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ReY K5J=O
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 tNjrd}8s
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 {MHr]A}X\
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 J-U}iU|
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Dbgw )n*2
central wavelength ………………………………………………………………80 7}Gy%SJ`
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 \oi=fu=}*
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 @c/~qP4
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 0P|WoC X
wavelength ………………………………………………………………………88 "m!Cl-+u
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 UZyo:*yB
Chapter 2 *ce h
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 fE(rDQI
2.1 Synthesis methods based on merit function optimization …………………………...98 j9Lc2'
2.1.1 Merit function selection …………………………………………………………98 de"*<+
2.1.2 Merit function optimization ……………………………………………………101 j,~h:MT
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 TY? F s-
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 P%1s6fjU
2.2.1 Needle-like variations of the refractive index ………………………………….115 ZY83, :<
2.2.2 The principal idea of the method ………………………………………………119 BM3nZ<%3
2.2.3 Description of the method ……………………………………………………...124 sV-9 xh)i
Bibliography …...………………………………………….……………….………..……130
