Basics of OPTICS OF MULTILAYER SYSTEMS n7vLw7
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Contents y*M,&,$
Preface……………………………………………………………………….………..……….4 S?{|ql py
Chapter 1
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SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: O= 1uF
THEORY……………………………………………………………………………………….5 ?l_>rSly5
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 X$O,L[] 4
1.1.1 Layered medium electromagnetic field equations………………………………...5 YbC6&_
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 u.gh04{5
1.1.3 The Fresnel formulas ……………………………………………………………18 b; SFnZa8
1.1.4 Other ways of determining amplitude transmittance and reflectance of the auP:r
layered medium…………………………………………………………………..19 IbpE@C
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 iSxxy1R
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 GLb}_-|
1.2.1 Matrix calculating method ………………………………………………………22 +q]
1.2.2 Description of optical coating and presentation of calculation results…………..28 :):=KowI
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 /Q"nQSG
1.2.4 Approximate formulas…………………………………………………………...33 0EM`,?i .Q
1.2.5 Other recurrent methods…………………………………………………………34 #K7i<Bf
1.2.6 The admittance phase plane……………………………………………………...38 W%09.bF
1.3 Some common properties of multilayer coatings…………………………………….46 RB_7S!qC5
1.3.1 The relation between the characteristic matrix and spectral coefficients of a /UjRuUC]
multilayer coating ……………………………………………………………….47 xPh%?j?*v
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 x Z@H{):
1.3.3 Transmittance and reflectance of the combination of two multilayer vi6EI
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subsystems ……………………………………………………………………....54 A.v cE
1.4 The multilayer coatings optical properties: impact of variations in the layer a4,b P*H
parameters……………………………………………………………………………...58 v&(X& q
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… J+&AtGq]u
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral J`O4]XRY
coefficients: probability assessment method ……………………….…………...63 8\8uXOS
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 5 (MWgC1
variations ………………………………………………………………………...66 GI $t8{M
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 >b-rAO\{}
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 0$,Ag;"^?
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 (0W%Y Z!&
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ^ h^2='p
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ew4 IAF
central wavelength ………………………………………………………………80 _]tR1T5e
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ,ewg3mYHC&
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 *|Re,cY
1.6.1 Common expressions for spectral coefficients of filter-type systems near central k Tex>1W;
wavelength ………………………………………………………………………88 /,5`#Gte_
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 N|Ua|^
Chapter 2 | qHWM
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 V#!ypX]AB[
2.1 Synthesis methods based on merit function optimization …………………………...98 44?5]C7
2.1.1 Merit function selection …………………………………………………………98 h^>kjMM
2.1.2 Merit function optimization ……………………………………………………101 X3]E8)645N
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 v%&f00
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 i TD}gC
2.2.1 Needle-like variations of the refractive index ………………………………….115 ,-c(D-&
2.2.2 The principal idea of the method ………………………………………………119 5S$HDO&
2.2.3 Description of the method ……………………………………………………...124 )X\.Xr-6q
Bibliography …...………………………………………….……………….………..……130
