Basics of OPTICS OF MULTILAYER SYSTEMS twO)b"0
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Contents 1e b1Lvn
Preface……………………………………………………………………….………..……….4 {s`1+6_&Vz
Chapter 1 OEAF.
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: sO(K po9jq
THEORY……………………………………………………………………………………….5 {b#c0>.8-
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5
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1.1.1 Layered medium electromagnetic field equations………………………………...5 }xdI{E1 q)
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 H%%#^rb^
1.1.3 The Fresnel formulas ……………………………………………………………18 }]n&" =Zk-
1.1.4 Other ways of determining amplitude transmittance and reflectance of the C ]r$
layered medium…………………………………………………………………..19 G: @gO2(D
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 O-&n5
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 s l PFDBx
1.2.1 Matrix calculating method ………………………………………………………22 h h d n9n
1.2.2 Description of optical coating and presentation of calculation results…………..28 kYR&t}jlCg
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 @nZ Fw.
1.2.4 Approximate formulas…………………………………………………………...33 b1 KiO2
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1.2.5 Other recurrent methods…………………………………………………………34 }RoM N$r
1.2.6 The admittance phase plane……………………………………………………...38 f qZ!Bi
1.3 Some common properties of multilayer coatings…………………………………….46 PD/~@OsxU
1.3.1 The relation between the characteristic matrix and spectral coefficients of a L g%cVSz/C
multilayer coating ……………………………………………………………….47 +T4< }+ n
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 <R !q OQI
1.3.3 Transmittance and reflectance of the combination of two multilayer MRJ dQCBV
subsystems ……………………………………………………………………....54 atN`w=6A`
1.4 The multilayer coatings optical properties: impact of variations in the layer >w*"LZjTTK
parameters……………………………………………………………………………...58 M>v M @j
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… eg,S(;VEt
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral _5X}&>>lhF
coefficients: probability assessment method ……………………….…………...63 \|T0@ V
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Xbu >8d?n
variations ………………………………………………………………………...66 c9'#G>&h~^
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 >2v_f w
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 +"p" ,Z
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 1-qQp.Wj
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Az)P&*2:'`
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 0` S!+d
central wavelength ………………………………………………………………80 |H @M-
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 aFC3yMKXh
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 =ecv;uu2
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ]T *{ M
wavelength ………………………………………………………………………88 2cmqtlW"
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 {Qhv HV
Chapter 2 Z,d/FC#y(
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 .:lzT"QXI
2.1 Synthesis methods based on merit function optimization …………………………...98 O&O1O> [p1
2.1.1 Merit function selection …………………………………………………………98 !IGVN:E
2.1.2 Merit function optimization ……………………………………………………101 7'&Xg_
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 -J[ D:P.Z
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 @lj
2.2.1 Needle-like variations of the refractive index ………………………………….115 qrdA?V V
2.2.2 The principal idea of the method ………………………………………………119 "`3H0il;<
2.2.3 Description of the method ……………………………………………………...124 Z4(2&t ^
Bibliography …...………………………………………….……………….………..……130
