Basics of OPTICS OF MULTILAYER SYSTEMS d/k70Ybk
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Contents ,y+}0q-Ou
Preface……………………………………………………………………….………..……….4 i@C1}o-/
Chapter 1 : ;nvqb d
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: xSQ:#o=8G
THEORY……………………………………………………………………………………….5 "0(H! } D
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 QyGTm"9l
1.1.1 Layered medium electromagnetic field equations………………………………...5 s5DEuu>g
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 J\BTrN 7
1.1.3 The Fresnel formulas ……………………………………………………………18 0 2lI-xHe
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 9"=1 O
layered medium…………………………………………………………………..19 OUd&fUmH
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 :q.g#:1s
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Wy[Ua#Dd
1.2.1 Matrix calculating method ………………………………………………………22 R3;,EL{H&
1.2.2 Description of optical coating and presentation of calculation results…………..28 ._uXK[c7P
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 W?n)IBj8
1.2.4 Approximate formulas…………………………………………………………...33 '9+JaB
1.2.5 Other recurrent methods…………………………………………………………34 5ir[}I^z
1.2.6 The admittance phase plane……………………………………………………...38 {*Ag[HS0u
1.3 Some common properties of multilayer coatings…………………………………….46 e-Xr^@M*Q
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Lad8 C
multilayer coating ……………………………………………………………….47 xb2 xl.2x!
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 {!lC$ SlJ
1.3.3 Transmittance and reflectance of the combination of two multilayer P9Yw\
subsystems ……………………………………………………………………....54 YTc
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1.4 The multilayer coatings optical properties: impact of variations in the layer [f^:V :) {
parameters……………………………………………………………………………...58 xH\#:DLY
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… (V:z 7
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 5cv&`h8uo_
coefficients: probability assessment method ……………………….…………...63 'UYxVh9D
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter -A?6)ggf.
variations ………………………………………………………………………...66 4@b~)av)
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 JH4hy9i
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 )O xsasn)M
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 K/Q%tr1W0
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 :7,j%ELic
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the $ Z{ ap
central wavelength ………………………………………………………………80 3tO=
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 >9Yo:b:f
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ^ZxT0oaL
1.6.1 Common expressions for spectral coefficients of filter-type systems near central [9wuaw"~[Z
wavelength ………………………………………………………………………88 Y ]xFe >
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 xppl6v(
Chapter 2 X 5.%e&`
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 !CBvFl/v
2.1 Synthesis methods based on merit function optimization …………………………...98 o =oXL2}
2.1.1 Merit function selection …………………………………………………………98 FN$sS T
2.1.2 Merit function optimization ……………………………………………………101 EO&PabZWR
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 m W/6FC
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 s?fO)7ly
2.2.1 Needle-like variations of the refractive index ………………………………….115 m| /?((s
2.2.2 The principal idea of the method ………………………………………………119 iI!MF1
2.2.3 Description of the method ……………………………………………………...124 5^,"Ve|
Bibliography …...………………………………………….……………….………..……130
