Basics of OPTICS OF MULTILAYER SYSTEMS KKTfxNxJn
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Contents 9%'HB\ A
Preface……………………………………………………………………….………..……….4 thboHPml{
Chapter 1 *[/X hx"
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ? fX8WRdh
THEORY……………………………………………………………………………………….5 !(AFT!
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 qk{UO
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1.1.1 Layered medium electromagnetic field equations………………………………...5 `pS)q x.a
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ^R DXX+
1.1.3 The Fresnel formulas ……………………………………………………………18 4Tw1gas.
1.1.4 Other ways of determining amplitude transmittance and reflectance of the R$,iDv.jI
layered medium…………………………………………………………………..19 &7nfTc
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 1OwkLy,P
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 2Mi;}J1C{
1.2.1 Matrix calculating method ………………………………………………………22 &!aLOx*3`
1.2.2 Description of optical coating and presentation of calculation results…………..28 jWm BUHCb
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 dM$G)9N)K
1.2.4 Approximate formulas…………………………………………………………...33 L6 }x3
1.2.5 Other recurrent methods…………………………………………………………34 'r < B aL
1.2.6 The admittance phase plane……………………………………………………...38 u:kY4T+Z
1.3 Some common properties of multilayer coatings…………………………………….46 ?)<XuMh
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ^\9G{}VY
multilayer coating ……………………………………………………………….47 xa^HU~
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 :iC\#i]6
1.3.3 Transmittance and reflectance of the combination of two multilayer Nm.>C4
subsystems ……………………………………………………………………....54 $7
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1.4 The multilayer coatings optical properties: impact of variations in the layer 3@bjIX`=H
parameters……………………………………………………………………………...58 H%%nB
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… IYC#H}
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 6spk* 8e
coefficients: probability assessment method ……………………….…………...63 jmNj#R@t
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 7 a npz%
variations ………………………………………………………………………...66 :QSW^x
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ty=?SZF
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 \r9%;?f
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 2^lT !X@
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 />7/S^
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the *}&aK}h}I
central wavelength ………………………………………………………………80 wLSYzz
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 #9"_|d=l
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 1qN9bwRO
1.6.1 Common expressions for spectral coefficients of filter-type systems near central T+"y8#:
wavelength ………………………………………………………………………88 . +?lID
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 v%Q7 \X(
Chapter 2 UL"3skV
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 4># ^Pk?Ra
2.1 Synthesis methods based on merit function optimization …………………………...98 rq?x]`u
2.1.1 Merit function selection …………………………………………………………98 Qeog$g.HI
2.1.2 Merit function optimization ……………………………………………………101 (}8 ;3pp
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 3]'z8i({7Y
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Ol0|)0
2.2.1 Needle-like variations of the refractive index ………………………………….115 Z9^ $jw]
2.2.2 The principal idea of the method ………………………………………………119 [SvwJ IJJ
2.2.3 Description of the method ……………………………………………………...124 EKD >c$T^
Bibliography …...………………………………………….……………….………..……130
