Basics of OPTICS OF MULTILAYER SYSTEMS 8$c) ]Bv
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Contents .S:(O+#Gm
Preface……………………………………………………………………….………..……….4 b
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Chapter 1 Qc Wg
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: EkV#i
THEORY……………………………………………………………………………………….5 U
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Lp%J:ogV`
1.1.1 Layered medium electromagnetic field equations………………………………...5 p+Q 9 ?9
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 F
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1.1.3 The Fresnel formulas ……………………………………………………………18 B _ J2Bf
1.1.4 Other ways of determining amplitude transmittance and reflectance of the m>Z3p7!N}
layered medium…………………………………………………………………..19 8'E7Uj
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 K!AA4!eUzM
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ~_0XG 0oA
1.2.1 Matrix calculating method ………………………………………………………22 N5W!(h)
1.2.2 Description of optical coating and presentation of calculation results…………..28 u~,hT Y(%
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 !'!\>x$
1.2.4 Approximate formulas…………………………………………………………...33 "KF ]s.
1.2.5 Other recurrent methods…………………………………………………………34 F,as>X#
1.2.6 The admittance phase plane……………………………………………………...38 3\ ]j4*i!
1.3 Some common properties of multilayer coatings…………………………………….46 5(2 C
1.3.1 The relation between the characteristic matrix and spectral coefficients of a : CqR1_n%
multilayer coating ……………………………………………………………….47 ]Ky`AG`2~
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 qYo U\y7
1.3.3 Transmittance and reflectance of the combination of two multilayer i<$?rB!i<1
subsystems ……………………………………………………………………....54 @r<2]RXlc
1.4 The multilayer coatings optical properties: impact of variations in the layer = ,6X_m
parameters……………………………………………………………………………...58 i{9.b pp/
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… .5>]DZn6
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral %<+Ku11
coefficients: probability assessment method ……………………….…………...63 <k3KCt
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 5 GPrZY"
variations ………………………………………………………………………...66 IRR b^Q6
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 CXGMc)#>f
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 hKh ad8
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 @/N]_2@8;
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ) iV^rLwL
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ]N\D^`iQ
central wavelength ………………………………………………………………80 mY fHBW:
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 fg , vTpBk
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 _J2?B?S/j
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ^N^s|c'
wavelength ………………………………………………………………………88 fHwS12SB
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 @:Ft+*2
Chapter 2 g`Q!5WK*
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 i"+TKo-
2.1 Synthesis methods based on merit function optimization …………………………...98 f fI=Bt]t
2.1.1 Merit function selection …………………………………………………………98 CX2qtI8N?
2.1.2 Merit function optimization ……………………………………………………101 Pxkh;:agD
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 L)<~0GcP
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 (QojId Ht
2.2.1 Needle-like variations of the refractive index ………………………………….115 ,c`Wmp^AY
2.2.2 The principal idea of the method ………………………………………………119 Jw;G_dQ[
2.2.3 Description of the method ……………………………………………………...124 .i )n1
Bibliography …...………………………………………….……………….………..……130
