| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS x$o^;2Z
,e9M%VIu6[
Contents YI7M%B9Lj
Preface……………………………………………………………………….………..……….4 d,l?{ Ln
Chapter 1 w$9LcN
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: of_y<dd[G
THEORY……………………………………………………………………………………….5 IKP GqoM
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 \ B84
1.1.1 Layered medium electromagnetic field equations………………………………...5 P[G>uA>Z1
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Kw?3joy
1.1.3 The Fresnel formulas ……………………………………………………………18 @>VVB{1@,]
1.1.4 Other ways of determining amplitude transmittance and reflectance of the p)iEwl}!j
layered medium…………………………………………………………………..19 _ pz}
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 n6WKk+
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 #I453
1.2.1 Matrix calculating method ………………………………………………………22 EV{Ys}3M
1.2.2 Description of optical coating and presentation of calculation results…………..28 e*lL.
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 kUS]g
r~i
1.2.4 Approximate formulas…………………………………………………………...33 r)}U
'iv*%
1.2.5 Other recurrent methods…………………………………………………………34 X)~wB7_0G
1.2.6 The admittance phase plane……………………………………………………...38 'n,V*9
1.3 Some common properties of multilayer coatings…………………………………….46 UWKgf? _
1.3.1 The relation between the characteristic matrix and spectral coefficients of a rq8 d}wj
multilayer coating ……………………………………………………………….47 "#o..?K
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 z
dgS@g
1.3.3 Transmittance and reflectance of the combination of two multilayer Lm2!<<<
subsystems ……………………………………………………………………....54 $+7uB-KsU
1.4 The multilayer coatings optical properties: impact of variations in the layer y{hy7w' d
parameters……………………………………………………………………………...58 rfEWh
Vy(}
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… A) C)5 W
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral zX&SnT1~
coefficients: probability assessment method ……………………….…………...63 m!%aB{e
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter +K'Hr: (
variations ………………………………………………………………………...66 R'tKJ_VI
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 b), fz
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 v}Ju2 }IK
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ^r&)@R$V
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ]9y\W} j
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the h.PBe
central wavelength ………………………………………………………………80 LQ# E+id&
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 :N F4[c
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 I!S Eb
1.6.1 Common expressions for spectral coefficients of filter-type systems near central P$z_A8}
wavelength ………………………………………………………………………88 <R /\nY Xz
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 b[<RcM{r}
Chapter 2
jhm??Af
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 qy3@>
1G
2.1 Synthesis methods based on merit function optimization …………………………...98 *$<W"@%^J
2.1.1 Merit function selection …………………………………………………………98 'V]&X.=zC
2.1.2 Merit function optimization ……………………………………………………101
@;bBc
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 A<X?1$
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 9dhEQ=K{3
2.2.1 Needle-like variations of the refractive index ………………………………….115 c lB K
2.2.2 The principal idea of the method ………………………………………………119 6UeY Z g
2.2.3 Description of the method ……………………………………………………...124 ~_D.&-xUF
Bibliography …...………………………………………….……………….………..……130
|
|
