Basics of OPTICS OF MULTILAYER SYSTEMS ]IX6>p,
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Contents #jY\l&E
Preface……………………………………………………………………….………..……….4 8:W,""
Chapter 1 *g0} pD;r
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: AH*{Bi[vX
THEORY……………………………………………………………………………………….5 4k}3^.#
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 BGk>:Z`
1.1.1 Layered medium electromagnetic field equations………………………………...5 /-Saz29f^Q
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Gk"o/]Sf
1.1.3 The Fresnel formulas ……………………………………………………………18 t(<^of:
1.1.4 Other ways of determining amplitude transmittance and reflectance of the N(*Xjy+PX
layered medium…………………………………………………………………..19 m
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 aQ@9(j>
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 "Jd!TLt\x
1.2.1 Matrix calculating method ………………………………………………………22 *t_"]v-w
1.2.2 Description of optical coating and presentation of calculation results…………..28 /g|H?F0
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 #Az#dt]H
1.2.4 Approximate formulas…………………………………………………………...33 BQ X6Q<
1.2.5 Other recurrent methods…………………………………………………………34 Yd}Jz
1.2.6 The admittance phase plane……………………………………………………...38 u\L=nCtLby
1.3 Some common properties of multilayer coatings…………………………………….46 <Mdyz!
1.3.1 The relation between the characteristic matrix and spectral coefficients of a KyQO>g{R
multilayer coating ……………………………………………………………….47 .9":Ljs(L
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 87QK&S\
1.3.3 Transmittance and reflectance of the combination of two multilayer z]/;?
subsystems ……………………………………………………………………....54 zWN/>~}U\
1.4 The multilayer coatings optical properties: impact of variations in the layer x2q6y
parameters……………………………………………………………………………...58 ;m/h?Y~
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 4CUoXs'
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral yH\3*#+
coefficients: probability assessment method ……………………….…………...63 hDO\Q7
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ,r=9$i_
variations ………………………………………………………………………...66 _J|TCm
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 li!3bv
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 VnZRsFY<^
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 l|,
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 kTC'`xv
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the <)hA?3J
central wavelength ………………………………………………………………80 3K8#,TK3
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 +"sjkdum1
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 4trP*u,4
1.6.1 Common expressions for spectral coefficients of filter-type systems near central HDmjt+3&n
wavelength ………………………………………………………………………88 3YKJN4
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 pUGFQ."\
Chapter 2 LB(I^
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 J^!2F}:
2.1 Synthesis methods based on merit function optimization …………………………...98 ,M4G_U[
2.1.1 Merit function selection …………………………………………………………98 >
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2.1.2 Merit function optimization ……………………………………………………101 UR3qzPm!0e
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 r JvtE}x1
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 3MmpB9l#H
2.2.1 Needle-like variations of the refractive index ………………………………….115 _H,xnh#nZ
2.2.2 The principal idea of the method ………………………………………………119 S.<aCN<@
2.2.3 Description of the method ……………………………………………………...124 )bd)noZi
Bibliography …...………………………………………….……………….………..……130