Basics of OPTICS OF MULTILAYER SYSTEMS (f,D$mX
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Preface……………………………………………………………………….………..……….4 o$FqMRep
Chapter 1 .cdm@_Ls
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: RMMx6L|-:
THEORY……………………………………………………………………………………….5 [cv7s=U%
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 7SE\(K=<%
1.1.1 Layered medium electromagnetic field equations………………………………...5 rhO
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 .Wv2aJq
1.1.3 The Fresnel formulas ……………………………………………………………18 vz</|s
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ~@S5*(&8
layered medium…………………………………………………………………..19 f^@`[MJj1C
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 (D]l /akP
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 yd 2v _
1.2.1 Matrix calculating method ………………………………………………………22 6q RZ#MC
1.2.2 Description of optical coating and presentation of calculation results…………..28 rj&
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Yv\.QrxPm
1.2.4 Approximate formulas…………………………………………………………...33 h?jy'>T?b2
1.2.5 Other recurrent methods…………………………………………………………34 WX&Man!f
1.2.6 The admittance phase plane……………………………………………………...38 <7fF9X
1.3 Some common properties of multilayer coatings…………………………………….46 3<LG~HWST
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ^} P| L
multilayer coating ……………………………………………………………….47 Fy3&Emu
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ??5qR8n.
1.3.3 Transmittance and reflectance of the combination of two multilayer .9_]8 T
subsystems ……………………………………………………………………....54 3
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1.4 The multilayer coatings optical properties: impact of variations in the layer E}sj l
parameters……………………………………………………………………………...58 \ Q7 Nz2X
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… RbKAB8
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral hP LQ)c?
coefficients: probability assessment method ……………………….…………...63 B.v g2N
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter P/5bNK!
variations ………………………………………………………………………...66 pRe, B'&
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 &2C6q04b
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 c+c3C8s*8
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 -(V]knIF
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Me;@/;c(
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the :uy8$g*;TE
central wavelength ………………………………………………………………80 rs2G{a
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 Nlemb:'eP3
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Y4e64`V)
1.6.1 Common expressions for spectral coefficients of filter-type systems near central t<mT=(zt*
wavelength ………………………………………………………………………88 -fFM-gt^t
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 Q]9H9?}N?
Chapter 2 A rC4pT
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 -bJht
2.1 Synthesis methods based on merit function optimization …………………………...98 Oaf!\ z}
2.1.1 Merit function selection …………………………………………………………98 >MZWm6M8
2.1.2 Merit function optimization ……………………………………………………101 teH $hd-q
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 s1. YH?A;
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 0i/l2&x*k]
2.2.1 Needle-like variations of the refractive index ………………………………….115 ]CsF} wr'z
2.2.2 The principal idea of the method ………………………………………………119 E,&B P$B
2.2.3 Description of the method ……………………………………………………...124 0(\ybppx
Bibliography …...………………………………………….……………….………..……130
