Basics of OPTICS OF MULTILAYER SYSTEMS C44 Dz.rs
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Contents iyhB;s5Rgw
Preface……………………………………………………………………….………..……….4 t
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Chapter 1 (5N&bh`E
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 7"y"%+ */
THEORY……………………………………………………………………………………….5 ,G,T&W
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 f;% 4O'
1.1.1 Layered medium electromagnetic field equations………………………………...5 N1!|nS3w
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Hw/1~O$T
1.1.3 The Fresnel formulas ……………………………………………………………18 Hca)5$yL
1.1.4 Other ways of determining amplitude transmittance and reflectance of the /T*]RO4%>]
layered medium…………………………………………………………………..19 j:,* Liz
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ;z7iUke0%
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 vexQP}N0
1.2.1 Matrix calculating method ………………………………………………………22 ]Ikj Z=
1.2.2 Description of optical coating and presentation of calculation results…………..28 B: uW(E
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 6q8qq/ h)
1.2.4 Approximate formulas…………………………………………………………...33 fD|ox
1.2.5 Other recurrent methods…………………………………………………………34 +kl@`&g a
1.2.6 The admittance phase plane……………………………………………………...38 [w~1e)D
1.3 Some common properties of multilayer coatings…………………………………….46 Nr7MSFiL
1.3.1 The relation between the characteristic matrix and spectral coefficients of a *pv hkJ g(
multilayer coating ……………………………………………………………….47 NzRL(A6V
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 I)O-i_}L&K
1.3.3 Transmittance and reflectance of the combination of two multilayer ~GS`@IU}
subsystems ……………………………………………………………………....54 +;z4.C{gM
1.4 The multilayer coatings optical properties: impact of variations in the layer @v2kAOw[
parameters……………………………………………………………………………...58 Xf9VW}`*8
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 9!FV. yp%F
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral yZ+o7?(2p
coefficients: probability assessment method ……………………….…………...63 A0WQZt!FEN
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter f=J#mmH w$
variations ………………………………………………………………………...66 q^dI!93n|
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ipKkz
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 poHDA=#
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 /sdkQ{J!.
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 F{f "xM
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ;nv4lxm
central wavelength ………………………………………………………………80 |g 4!Yd
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 >1mCjP
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 K | Y r
1.6.1 Common expressions for spectral coefficients of filter-type systems near central +V7*vlx-
wavelength ………………………………………………………………………88 JVTG3: zD
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 @eT!v{o
Chapter 2 )kgy L,9
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 K#F~$k|1B
2.1 Synthesis methods based on merit function optimization …………………………...98 0/ (YH
2.1.1 Merit function selection …………………………………………………………98 ;][1_
2.1.2 Merit function optimization ……………………………………………………101 CWI(Q`((>
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 fX} dh9
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 o &LNtl;
2.2.1 Needle-like variations of the refractive index ………………………………….115 s bW`
2.2.2 The principal idea of the method ………………………………………………119 =UNzjmP503
2.2.3 Description of the method ……………………………………………………...124 m2<sVTN`^
Bibliography …...………………………………………….……………….………..……130
