Basics of OPTICS OF MULTILAYER SYSTEMS w
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Contents \3a(8E m
Preface……………………………………………………………………….………..……….4 M BXja#(k
Chapter 1 n#8N{ya5x1
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Vj(}'h-c\
THEORY……………………………………………………………………………………….5 mF7T=pl
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 G9" 2h
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1.1.1 Layered medium electromagnetic field equations………………………………...5 a"ZBSg(
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 f4eLnY
1.1.3 The Fresnel formulas ……………………………………………………………18 /G[; kR"
1.1.4 Other ways of determining amplitude transmittance and reflectance of the %P05 k
layered medium…………………………………………………………………..19 YaI8hj@}
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ME4 Ir
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 i]oSVXx4WC
1.2.1 Matrix calculating method ………………………………………………………22 wju2xM
1.2.2 Description of optical coating and presentation of calculation results…………..28 v,qK= ]ty
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 vF,\{sgW
1.2.4 Approximate formulas…………………………………………………………...33 =23JE'^=
1.2.5 Other recurrent methods…………………………………………………………34 8JvF4' zx
1.2.6 The admittance phase plane……………………………………………………...38 DWT4D) C,U
1.3 Some common properties of multilayer coatings…………………………………….46 j <[+vr j
1.3.1 The relation between the characteristic matrix and spectral coefficients of a }$E cNm$%
multilayer coating ……………………………………………………………….47 2@ 4^ 81
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 yv2BbrYyy
1.3.3 Transmittance and reflectance of the combination of two multilayer 0tV " X
subsystems ……………………………………………………………………....54 qo{2 CYG\+
1.4 The multilayer coatings optical properties: impact of variations in the layer ?L.c~w; l
parameters……………………………………………………………………………...58
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Eo)w f=rE9
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral a:nMW '!
coefficients: probability assessment method ……………………….…………...63 Hp`Mp )1s
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter DY]\@<ez
variations ………………………………………………………………………...66 :{2exu
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 'fB/6[bd
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 TX x%\ V_6
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 `}uOl C]I
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 1QkAFSl3
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 0{u31#0j
central wavelength ………………………………………………………………80 +o&&5&HR
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 n$>E'oG2 t
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 :i'jQ<|wZN
1.6.1 Common expressions for spectral coefficients of filter-type systems near central qgTN %%"~
wavelength ………………………………………………………………………88 ;yh}$)^9
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 nU]4)t_o\
Chapter 2 Sg$14B
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 zQsu~8P X
2.1 Synthesis methods based on merit function optimization …………………………...98 'J*)o<%
2.1.1 Merit function selection …………………………………………………………98 CH
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2.1.2 Merit function optimization ……………………………………………………101 +Fu=9j/,j
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 L\ p@1N?K
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 e> "/Uii
2.2.1 Needle-like variations of the refractive index ………………………………….115 4E& = qC]S
2.2.2 The principal idea of the method ………………………………………………119 z>_jC+
2.2.3 Description of the method ……………………………………………………...124 $'M: H_T
Bibliography …...………………………………………….……………….………..……130
