Basics of OPTICS OF MULTILAYER SYSTEMS 5',8 ziJQ
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Contents zGA q- <
Preface……………………………………………………………………….………..……….4 opy("qH
Chapter 1 0c<.iM
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: jw^<IMAG\8
THEORY……………………………………………………………………………………….5 e}
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 mUdOX7$c>
1.1.1 Layered medium electromagnetic field equations………………………………...5 H1QJ k_RL
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 $ us]35Z3
1.1.3 The Fresnel formulas ……………………………………………………………18 ]pNvxXbeW
1.1.4 Other ways of determining amplitude transmittance and reflectance of the p8h9Ng* &`
layered medium…………………………………………………………………..19 pEIRh 1
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 O$&mFL[`
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 d(: 8M
1.2.1 Matrix calculating method ………………………………………………………22 `Nb[G)Xh
1.2.2 Description of optical coating and presentation of calculation results…………..28 FtfKe"qw
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ebUBrxZX
1.2.4 Approximate formulas…………………………………………………………...33 ymx>i~>7J
1.2.5 Other recurrent methods…………………………………………………………34 `lO[x.[
1.2.6 The admittance phase plane……………………………………………………...38 ,+meT`'vn
1.3 Some common properties of multilayer coatings…………………………………….46 zxbpEJzpn
1.3.1 The relation between the characteristic matrix and spectral coefficients of a OZ
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multilayer coating ……………………………………………………………….47 *KV0%)}sbL
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 XINu=N(g
1.3.3 Transmittance and reflectance of the combination of two multilayer O&4SCVZp
subsystems ……………………………………………………………………....54 =/y]d<g
1.4 The multilayer coatings optical properties: impact of variations in the layer :UF%K>k2
parameters……………………………………………………………………………...58 C/vI EYG4
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… =u2l. CX
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral d4>Z8FF|1B
coefficients: probability assessment method ……………………….…………...63 aTqd@},?
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter $RIecv<e_
variations ………………………………………………………………………...66 QLEKsX7p>
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Vzdh8)Mu\
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 \n8] M\<
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 |"/ 8XA
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 pgI^4h
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the .!$*:4ok
central wavelength ………………………………………………………………80 gcPTLh[^Er
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 V EqS;~[
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 :(!` /#6H
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 5q;GIw^L
wavelength ………………………………………………………………………88 TDFkxB>
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 toya fHf
Chapter 2 kb{]>3Y"
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 q Gw -tPD<
2.1 Synthesis methods based on merit function optimization …………………………...98 im9G,e
2.1.1 Merit function selection …………………………………………………………98 q)S^P>
2.1.2 Merit function optimization ……………………………………………………101 oX S1QT`B
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 \N!AXD
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 P@$/P99
2.2.1 Needle-like variations of the refractive index ………………………………….115 w)k N kD
2.2.2 The principal idea of the method ………………………………………………119 #sPHdz'3M
2.2.3 Description of the method ……………………………………………………...124 E9Np 0M<
Bibliography …...………………………………………….……………….………..……130
