Basics of OPTICS OF MULTILAYER SYSTEMS p |z W2L
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Contents "zugnim
Preface……………………………………………………………………….………..……….4 =vR>KE
Chapter 1 *p"%cas
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 37VSE@Z+
THEORY……………………………………………………………………………………….5 w0pH|$"/P
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 K#>B'>A \
1.1.1 Layered medium electromagnetic field equations………………………………...5 d2pVO]l YZ
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 @sP?@< C
1.1.3 The Fresnel formulas ……………………………………………………………18 T a_#Rg*!
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 5( 3tPbm{
layered medium…………………………………………………………………..19 $(BW |Pc
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ~MOIrF
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 HM`;%0T0(
1.2.1 Matrix calculating method ………………………………………………………22 'h$1vT
1.2.2 Description of optical coating and presentation of calculation results…………..28 4g|}]K1s
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 0y?bwxkc
1.2.4 Approximate formulas…………………………………………………………...33 YQ]W<0(
1.2.5 Other recurrent methods…………………………………………………………34 \j4TDCs_[
1.2.6 The admittance phase plane……………………………………………………...38 &U:;jlST9
1.3 Some common properties of multilayer coatings…………………………………….46 /)j:Y:5
1.3.1 The relation between the characteristic matrix and spectral coefficients of a LKhUqW
multilayer coating ……………………………………………………………….47 T{Av[>M
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 W_%Dg]l
1.3.3 Transmittance and reflectance of the combination of two multilayer gkDB8,C< j
subsystems ……………………………………………………………………....54 _k&vW(O=:
1.4 The multilayer coatings optical properties: impact of variations in the layer WmeV[iI
parameters……………………………………………………………………………...58 +5voAx!
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… HUZI7rC[=)
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral yN9/'c~
coefficients: probability assessment method ……………………….…………...63 vLq_l 4l
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter @PutUYz
variations ………………………………………………………………………...66 s~3"*,3@
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 QN":Qk(,q
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 b}WU
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ^I7iEv
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 k*J0K=U|
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the r3'0{Nn+
central wavelength ………………………………………………………………80 K1Mn_)%
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 "d% o%
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ? g}G#j
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 05Ak[OOU>
wavelength ………………………………………………………………………88 |Y4c+6@_
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 voiWf?X
Chapter 2 }Ge$?ZFH
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97
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2.1 Synthesis methods based on merit function optimization …………………………...98 1
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2.1.1 Merit function selection …………………………………………………………98 0
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2.1.2 Merit function optimization ……………………………………………………101 !Wgi[VB
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 @kd` 9Yw
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 9! ; /+P
2.2.1 Needle-like variations of the refractive index ………………………………….115 JD9)Qelw^$
2.2.2 The principal idea of the method ………………………………………………119 z#m ~}
2.2.3 Description of the method ……………………………………………………...124 ` p#tx .o
Bibliography …...………………………………………….……………….………..……130
