Basics of OPTICS OF MULTILAYER SYSTEMS g>T
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Contents #N9d$[R*
Preface……………………………………………………………………….………..……….4 8i[LR#D)
Chapter 1 ,cD 1{T\
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: gyFr"9';c
THEORY……………………………………………………………………………………….5 {=iyK/Uf
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 7>mhK7l
1.1.1 Layered medium electromagnetic field equations………………………………...5 #j .FJFGX
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 |]tZ hI"3<
1.1.3 The Fresnel formulas ……………………………………………………………18 2vvh|?M
1.1.4 Other ways of determining amplitude transmittance and reflectance of the P63
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layered medium…………………………………………………………………..19 }LQ\a8]<
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 MQ9vPgh
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 R"{l[9j4>
1.2.1 Matrix calculating method ………………………………………………………22 `M0 YAiG
1.2.2 Description of optical coating and presentation of calculation results…………..28 dN0mYlu1|
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 [4\aYB 9N
1.2.4 Approximate formulas…………………………………………………………...33 U{HML|
1.2.5 Other recurrent methods…………………………………………………………34 n.ct ]+L
1.2.6 The admittance phase plane……………………………………………………...38 nALnB 1
1.3 Some common properties of multilayer coatings…………………………………….46 1daL y
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Km"&m T $
multilayer coating ……………………………………………………………….47 rKT )!o'
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 i*68- n
1.3.3 Transmittance and reflectance of the combination of two multilayer &=NJ
subsystems ……………………………………………………………………....54 r&Q t_
1.4 The multilayer coatings optical properties: impact of variations in the layer u GAh7Sop
parameters……………………………………………………………………………...58 O]bKNA.5
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… yKlU6t&`
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral hLo>R'@uN
coefficients: probability assessment method ……………………….…………...63 /tzlbI]z
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter FJF3B)Va|
variations ………………………………………………………………………...66 ThiN9! Y
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 lvPpC AXY
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 b}}y=zO|$
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 \OA
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Wp`C:H
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the K( z[ }
central wavelength ………………………………………………………………80 xG w?'\
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 "qE {a>d
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 l1DI*0@
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ? oc+ 1e
wavelength ………………………………………………………………………88 F^miq^K=
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 Z)5klg$c
Chapter 2 ?b"Vj+1:x
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 3>M.]w6{
2.1 Synthesis methods based on merit function optimization …………………………...98 *F|+2?a:$
2.1.1 Merit function selection …………………………………………………………98 }_]As}E
2.1.2 Merit function optimization ……………………………………………………101 p {?}g'
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 \imp7}N
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 *_#&"(P
2.2.1 Needle-like variations of the refractive index ………………………………….115 u uSHCp
2.2.2 The principal idea of the method ………………………………………………119 =1IEpxh%
2.2.3 Description of the method ……………………………………………………...124 b Oe<\Y$
Bibliography …...………………………………………….……………….………..……130
