Basics of OPTICS OF MULTILAYER SYSTEMS +CM>]Ze
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Contents L>h|1ZK
Preface……………………………………………………………………….………..……….4 EE^x34&=
Chapter 1 en '""
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SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 31~nay15
THEORY……………………………………………………………………………………….5 Gp{,v
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 (3"N~\9m
1.1.1 Layered medium electromagnetic field equations………………………………...5 nwp(% fBo
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Xhq7)/jp
1.1.3 The Fresnel formulas ……………………………………………………………18 VV{>Kq+&,v
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 2t4\L3
layered medium…………………………………………………………………..19 WfD fj
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 egvb#:zW?
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 #R >x]Nt}
1.2.1 Matrix calculating method ………………………………………………………22 j^7A }fz
1.2.2 Description of optical coating and presentation of calculation results…………..28 u0GHcpOm
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 O%3Hp.|!
1.2.4 Approximate formulas…………………………………………………………...33 vK% *5
1.2.5 Other recurrent methods…………………………………………………………34 "M, 1ElQ
1.2.6 The admittance phase plane……………………………………………………...38 D#AqZS> B
1.3 Some common properties of multilayer coatings…………………………………….46 S=0DQ19
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ?G5,}%
multilayer coating ……………………………………………………………….47 @0 'U
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 _1NK9dp:
1.3.3 Transmittance and reflectance of the combination of two multilayer 4-t^?T: qF
subsystems ……………………………………………………………………....54 *i}X(s fe
1.4 The multilayer coatings optical properties: impact of variations in the layer ^D N:.qQ
parameters……………………………………………………………………………...58 )S
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… c:.~%AJx
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral b8e\( Dww
coefficients: probability assessment method ……………………….…………...63 lH; V9D^
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter F#>00b{Q
variations ………………………………………………………………………...66 )q[P&f( h
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 1$8@CT^m
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 <:V~_j6P0
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 f4fBUZ^ A
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 NNF"si\FE
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 0:`|T jf_
central wavelength ………………………………………………………………80 Z;%uDlcXI
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 4; I\% qes
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ~W [I
1.6.1 Common expressions for spectral coefficients of filter-type systems near central $'%GB $.
wavelength ………………………………………………………………………88 p_h/hTi
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 _Z Sp$>)/
Chapter 2 Bz<hP*.O
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 +?Ii=* 7n
2.1 Synthesis methods based on merit function optimization …………………………...98 ?0_<u 4
2.1.1 Merit function selection …………………………………………………………98 7IkPi?&{
2.1.2 Merit function optimization ……………………………………………………101 E?G'F3i
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 +bS\iw +
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 $uZmIu9Bi+
2.2.1 Needle-like variations of the refractive index ………………………………….115 R>* z8n
2.2.2 The principal idea of the method ………………………………………………119 . P$m?p #
2.2.3 Description of the method ……………………………………………………...124 '< U&8?S
Bibliography …...………………………………………….……………….………..……130
