Basics of OPTICS OF MULTILAYER SYSTEMS Z%\,w(o[h
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Preface……………………………………………………………………….………..……….4 CJI~_3+K
Chapter 1 GuL<Z1 <c
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: sp`Dvqx0
THEORY……………………………………………………………………………………….5 ^Zp>G{QL{
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ~e.L.,4QZ8
1.1.1 Layered medium electromagnetic field equations………………………………...5 7=, ; h
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Z EO WO
1.1.3 The Fresnel formulas ……………………………………………………………18 sn>~O4"
1.1.4 Other ways of determining amplitude transmittance and reflectance of the >- { Hy x
layered medium…………………………………………………………………..19 RCLeA=/N@0
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 N)>ID(}F1
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 2)~> R
1.2.1 Matrix calculating method ………………………………………………………22
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1.2.2 Description of optical coating and presentation of calculation results…………..28 6\S~P/PkE
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 P
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1.2.4 Approximate formulas…………………………………………………………...33 j 1HW._G
1.2.5 Other recurrent methods…………………………………………………………34 {cw /!B
1.2.6 The admittance phase plane……………………………………………………...38 f'3$9x
1.3 Some common properties of multilayer coatings…………………………………….46 5QO9Q]I#_\
1.3.1 The relation between the characteristic matrix and spectral coefficients of a [;sRV<
multilayer coating ……………………………………………………………….47 w.-!UD9/.x
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 _8agtQ:<
1.3.3 Transmittance and reflectance of the combination of two multilayer "8zDb dK
subsystems ……………………………………………………………………....54 `x%>8/
1.4 The multilayer coatings optical properties: impact of variations in the layer R,=fv
parameters……………………………………………………………………………...58 `n?DU;,
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… {P#|zp 4C{
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral VTHH&$ZNq
coefficients: probability assessment method ……………………….…………...63 n>U5R_T
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 7W.~
variations ………………………………………………………………………...66 I[X772K
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 .Rf_Cl
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 #@ nezu2
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 {3vNPQJ
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 >t_ 6B~x9
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the r^ ZEImjc
central wavelength ………………………………………………………………80 ZO$%[ftb
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 T: W4$P
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 CYYU 7
1.6.1 Common expressions for spectral coefficients of filter-type systems near central f ZA4q0
wavelength ………………………………………………………………………88 i&GH/y
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ."y1 _dDql
Chapter 2 ]
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ZbAcO/
2.1 Synthesis methods based on merit function optimization …………………………...98 ,:\|7 F
2.1.1 Merit function selection …………………………………………………………98 \d$!a5LF}
2.1.2 Merit function optimization ……………………………………………………101 'Ne@e)s9
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Z!X0U7& U
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 b(O 3@Q6[
2.2.1 Needle-like variations of the refractive index ………………………………….115 )U{Qj5W+F
2.2.2 The principal idea of the method ………………………………………………119 (;^syJrh
2.2.3 Description of the method ……………………………………………………...124 '}bgLv
Bibliography …...………………………………………….……………….………..……130
