Basics of OPTICS OF MULTILAYER SYSTEMS U3_${
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Contents R'Jrbe|
Preface……………………………………………………………………….………..……….4 3E*|^*
Chapter 1 x;~:p;]J2F
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 4>,X.|9{
THEORY……………………………………………………………………………………….5 A3eCI
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 /3,/j)`a
1.1.1 Layered medium electromagnetic field equations………………………………...5 5%jhVys23
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 TUfj\d,
1.1.3 The Fresnel formulas ……………………………………………………………18 ZJ3g,d c
1.1.4 Other ways of determining amplitude transmittance and reflectance of the A-!e$yz>
layered medium…………………………………………………………………..19 7ws<' d7/
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 &N^ j
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 V,-we|"
1.2.1 Matrix calculating method ………………………………………………………22 ZDW9H6ux
1.2.2 Description of optical coating and presentation of calculation results…………..28 g* YD gY
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 =UKxf
1.2.4 Approximate formulas…………………………………………………………...33 !Se0&Ob
1.2.5 Other recurrent methods…………………………………………………………34 c5ij2X| I
1.2.6 The admittance phase plane……………………………………………………...38 DhE-g<
1.3 Some common properties of multilayer coatings…………………………………….46 LdZVXp^
1.3.1 The relation between the characteristic matrix and spectral coefficients of a WE\TUENac(
multilayer coating ……………………………………………………………….47 `;85Mo:qJ
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 3"x_Y
1.3.3 Transmittance and reflectance of the combination of two multilayer CXq[ VYM&X
subsystems ……………………………………………………………………....54 oxxuw
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1.4 The multilayer coatings optical properties: impact of variations in the layer ep6+YK:cn
parameters……………………………………………………………………………...58 Da-Lf2qT9
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… P) vD?)Q
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral HPp hTu}`
coefficients: probability assessment method ……………………….…………...63 JV~
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter T8+[R2_
variations ………………………………………………………………………...66 7( 84j5zb
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ||:> &
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 >eTbg"\
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 = g j?!d`
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 A4"TJZBg}
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the d6MWgg
central wavelength ………………………………………………………………80 k!Yc_ZB:*l
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 CV0id&Nv
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 \B#tB?rA
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ^*AI19w!Ys
wavelength ………………………………………………………………………88 l|.}>SfL^u
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ^+yz}YFM
Chapter 2 x X&B&"]5
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 M+%Xq0`T
2.1 Synthesis methods based on merit function optimization …………………………...98 x17 :~[c']
2.1.1 Merit function selection …………………………………………………………98 iM!2m$'s
2.1.2 Merit function optimization ……………………………………………………101 & 'u|^d
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 _*AI1/>`
2.2 Synthesis method based on the needle-like variations of the refractive index ……114
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2.2.1 Needle-like variations of the refractive index ………………………………….115 Kg 6J:HD49
2.2.2 The principal idea of the method ………………………………………………119 &@lfr 623
2.2.3 Description of the method ……………………………………………………...124 Cfi4~ &
Bibliography …...………………………………………….……………….………..……130
