Basics of OPTICS OF MULTILAYER SYSTEMS Pv2nV!X6
o.
V0iS]
Contents o$blPTN
Preface……………………………………………………………………….………..……….4 }*}`)rj,
Chapter 1 YW $x:
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: od5w9E.
THEORY……………………………………………………………………………………….5 UB&S 2 g
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 y`B!6p
5j
1.1.1 Layered medium electromagnetic field equations………………………………...5 "m P*}VF
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 e}Af"LI
1.1.3 The Fresnel formulas ……………………………………………………………18 8v)~J}[ Bz
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ^pQ;0[9Y0
layered medium…………………………………………………………………..19 0ZID
@^
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 2GD mZl
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 tFST.yT>zg
1.2.1 Matrix calculating method ………………………………………………………22 /<?X-IDz.{
1.2.2 Description of optical coating and presentation of calculation results…………..28 xZ @O"*{
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 AXU!-er$
1.2.4 Approximate formulas…………………………………………………………...33 S~a:1
_Wl
1.2.5 Other recurrent methods…………………………………………………………34 Etr8lm E
1.2.6 The admittance phase plane……………………………………………………...38 ZvnZ}t >?
1.3 Some common properties of multilayer coatings…………………………………….46 Znh uIA AG
1.3.1 The relation between the characteristic matrix and spectral coefficients of a %*Z2Gef?H
multilayer coating ……………………………………………………………….47 Lx:9@3'7'
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 f\F_?s)_y
1.3.3 Transmittance and reflectance of the combination of two multilayer ik:)-GV;s
subsystems ……………………………………………………………………....54 Q!+{MsZ
1.4 The multilayer coatings optical properties: impact of variations in the layer w`#0
Y9O
parameters……………………………………………………………………………...58 pXT$Y8M
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… xZ'` _x9l
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral NX{-D}1X=
coefficients: probability assessment method ……………………….…………...63 HH~
du
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter N13; hB<
variations ………………………………………………………………………...66 2wuW5H8w{
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 u FYQ^
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 8.Own=G?
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 zR JKIm
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 hIO4%RQj_
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the *6x ^w %=A
central wavelength ………………………………………………………………80 C(|T/rQ -
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ^Lv ^W
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 4FHX# `
1.6.1 Common expressions for spectral coefficients of filter-type systems near central
s8_NN
wavelength ………………………………………………………………………88 ) Q
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 >
%cWTC
Chapter 2 WWs[]zr
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 eGypXf%
2.1 Synthesis methods based on merit function optimization …………………………...98 X3=Jp'p$h
2.1.1 Merit function selection …………………………………………………………98 d t0E 0i
2.1.2 Merit function optimization ……………………………………………………101 ~S=fMv^BR
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 `J ,~hK
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 , a_{ Y+
2.2.1 Needle-like variations of the refractive index ………………………………….115 F']%q 0
2.2.2 The principal idea of the method ………………………………………………119 =#")G1A
2.2.3 Description of the method ……………………………………………………...124 ,;e-37^0l
Bibliography …...………………………………………….……………….………..……130
