Basics of OPTICS OF MULTILAYER SYSTEMS &b8D'XQu
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Contents ^K[tO54
Preface……………………………………………………………………….………..……….4 >{=RQgGy
Chapter 1 I<-" J^2
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: >~InO^R`5
THEORY……………………………………………………………………………………….5 f^)nZ:~
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 gZ Si\m>
1.1.1 Layered medium electromagnetic field equations………………………………...5 l@jJJ)Qyk
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 nQVBHL>
1.1.3 The Fresnel formulas ……………………………………………………………18
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the 'F~SNIay
layered medium…………………………………………………………………..19 OyZ>R~c'B
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 pD/S\E0@t
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 =D$r5D/xd
1.2.1 Matrix calculating method ………………………………………………………22 SkUP9
1.2.2 Description of optical coating and presentation of calculation results…………..28 jd'R2e
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 WF0>R^SpZ
1.2.4 Approximate formulas…………………………………………………………...33 ?OdA`!wE
1.2.5 Other recurrent methods…………………………………………………………34 bcs(#
1.2.6 The admittance phase plane……………………………………………………...38 ^yZEpQN_
1.3 Some common properties of multilayer coatings…………………………………….46 :HQ/vVw'"9
1.3.1 The relation between the characteristic matrix and spectral coefficients of a _/\H3
multilayer coating ……………………………………………………………….47 N^at{I6C
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 . r"?w
1.3.3 Transmittance and reflectance of the combination of two multilayer K rzM] x
subsystems ……………………………………………………………………....54 ~'mhC46d
1.4 The multilayer coatings optical properties: impact of variations in the layer y~ LVK8
parameters……………………………………………………………………………...58 , FO|'l
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… :]jtV~E\
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral AV!
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coefficients: probability assessment method ……………………….…………...63 ajr8tp'
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter x{5*%}lX8
variations ………………………………………………………………………...66 wUn dNE
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 =c 4U%d2
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 mg]dK p
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 xn[di-L F
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 9$i`B>C~
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the [X]o `
central wavelength ………………………………………………………………80 A G2jl/
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 cxdM!L; `
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 1jVcL)szU
1.6.1 Common expressions for spectral coefficients of filter-type systems near central .m51/X&*n
wavelength ………………………………………………………………………88 H0 t1& :
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 u> Hx#R<*%
Chapter 2 @su,w,xLS
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 TXv#/@
2.1 Synthesis methods based on merit function optimization …………………………...98 Bw[V K7
2.1.1 Merit function selection …………………………………………………………98 PN=yf@<V3F
2.1.2 Merit function optimization ……………………………………………………101 4Rq"xYGXh
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 {\I \4 P
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 K6oLSr+EAK
2.2.1 Needle-like variations of the refractive index ………………………………….115 I^=M>_ s4
2.2.2 The principal idea of the method ………………………………………………119 n9 DFa3
2.2.3 Description of the method ……………………………………………………...124 Y.J$f<[R
Bibliography …...………………………………………….……………….………..……130
