Basics of OPTICS OF MULTILAYER SYSTEMS 5\Sm^t|Tx
'1]Iu@?
Contents .K>r ao'
Preface……………………………………………………………………….………..……….4 %;+Q0
e9
Chapter 1 B> , O@ og
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: I%]L
THEORY……………………………………………………………………………………….5 D_fgxl
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 EAYx+zI
1.1.1 Layered medium electromagnetic field equations………………………………...5 B.nq3;Y
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Tl9KL%9
1.1.3 The Fresnel formulas ……………………………………………………………18 q1QrtJFPG
1.1.4 Other ways of determining amplitude transmittance and reflectance of the z>$AZ>t%J$
layered medium…………………………………………………………………..19 *I 7$\0Q
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 A7!!kR":
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 4 %do.D*
1.2.1 Matrix calculating method ………………………………………………………22 U JO
1.2.2 Description of optical coating and presentation of calculation results…………..28 $y~!ePKh
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 8Qtd,
1.2.4 Approximate formulas…………………………………………………………...33 )*_4=- 8H
1.2.5 Other recurrent methods…………………………………………………………34 ).HYW _Yih
1.2.6 The admittance phase plane……………………………………………………...38 dZ'hTzw~
1.3 Some common properties of multilayer coatings…………………………………….46 HhkubG)\
1.3.1 The relation between the characteristic matrix and spectral coefficients of a zb/w^~J _i
multilayer coating ……………………………………………………………….47 ^ s< p5V
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 cl s-x@
Kd
1.3.3 Transmittance and reflectance of the combination of two multilayer L7i^?40
subsystems ……………………………………………………………………....54 ?0HPd5=<v
1.4 The multilayer coatings optical properties: impact of variations in the layer _:|/4.]`_
parameters……………………………………………………………………………...58 /I@nPH<y
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… /(-X[[V
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Wt2+D{@8
coefficients: probability assessment method ……………………….…………...63 p-QD(+@M
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Dg]( ?^
variations ………………………………………………………………………...66 n J H+P!AC
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 [h U5ooB
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ki `7S
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ^3*k6h [(
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 1RC(T{\x
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the <=KtRE>$
central wavelength ………………………………………………………………80 gKK*`
L~
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ( vHB`@x
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ZsjDe {TH
1.6.1 Common expressions for spectral coefficients of filter-type systems near central *3 _@#Uu7
wavelength ………………………………………………………………………88 >*v!2=
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 r|[uR$|Y
Chapter 2 9(`d
h
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 C^vB&3ghi
2.1 Synthesis methods based on merit function optimization …………………………...98 4?GW]'d
2.1.1 Merit function selection …………………………………………………………98 fv?vO2nj
2.1.2 Merit function optimization ……………………………………………………101 B16,c9[
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ]<\Ft H
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 8t3,}}TJ
2.2.1 Needle-like variations of the refractive index ………………………………….115 0. _)X
2.2.2 The principal idea of the method ………………………………………………119 sYlA{Z"
2.2.3 Description of the method ……………………………………………………...124 k`H#u, &
Bibliography …...………………………………………….……………….………..……130
