Basics of OPTICS OF MULTILAYER SYSTEMS t3)nG8>
)
{IW pI *
Contents `% x6;Ha
Preface……………………………………………………………………….………..……….4 =-c"~4
Chapter 1 `_6!nk q8
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Tv& -n
THEORY……………………………………………………………………………………….5 e'c~;Z\A
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 FasA f( 3
1.1.1 Layered medium electromagnetic field equations………………………………...5 ;@@1$mzK
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 OwwlQp ~!J
1.1.3 The Fresnel formulas ……………………………………………………………18 FSqS]6b3
1.1.4 Other ways of determining amplitude transmittance and reflectance of the z6K "}C%
layered medium…………………………………………………………………..19 1YA _`_@w
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 8S>T1st
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 MU^7(s="
1.2.1 Matrix calculating method ………………………………………………………22 M<, E[2op
1.2.2 Description of optical coating and presentation of calculation results…………..28 ~ (xIG
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 uOqWMRsoi
1.2.4 Approximate formulas…………………………………………………………...33 ,?+rM ;
1.2.5 Other recurrent methods…………………………………………………………34 XQu ~/{A=
1.2.6 The admittance phase plane……………………………………………………...38 f.`noZN
1.3 Some common properties of multilayer coatings…………………………………….46 lbv9 kk[
1.3.1 The relation between the characteristic matrix and spectral coefficients of a szC~?]<YY
multilayer coating ……………………………………………………………….47 $e; _N4d^
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 I-NzGx2u
1.3.3 Transmittance and reflectance of the combination of two multilayer VN[h0+n4Th
subsystems ……………………………………………………………………....54 38dXfl
1.4 The multilayer coatings optical properties: impact of variations in the layer %p}_4+[;
parameters……………………………………………………………………………...58 r[zxb0YA
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… \d0R&vFHQ
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral $up.< qzj
coefficients: probability assessment method ……………………….…………...63 D 5]sf>~
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 9d4 PH
variations ………………………………………………………………………...66 ;/W;M> ^
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 }Lx?RU+@=
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 M`ETH8Su=
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 b]s*z<|%
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ) =<,$ |g
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Z@= 1-l
central wavelength ………………………………………………………………80 }!\ZJo a
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 cjU *
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 =Uta5$\a)
1.6.1 Common expressions for spectral coefficients of filter-type systems near central tt`j!!
wavelength ………………………………………………………………………88 yAoJ?<4^W
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 K+D`U6&
Chapter 2 pq6}q($Rk
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 8oG0tX3i
2.1 Synthesis methods based on merit function optimization …………………………...98 q28i9$Yqj\
2.1.1 Merit function selection …………………………………………………………98 " z\T$ /
2.1.2 Merit function optimization ……………………………………………………101 N %-Cp)
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 2*-s3 >VK
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 /i$
mIj`
2.2.1 Needle-like variations of the refractive index ………………………………….115 ] 5lp.#EB
2.2.2 The principal idea of the method ………………………………………………119 NaSg K
2.2.3 Description of the method ……………………………………………………...124 nZa.3/7dJ
Bibliography …...………………………………………….……………….………..……130
