Basics of OPTICS OF MULTILAYER SYSTEMS d]k>7.
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Contents K{HRjNda#
Preface……………………………………………………………………….………..……….4 -iS\3P.
Chapter 1 8+uwzBNZ:
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: g Bq, So
THEORY……………………………………………………………………………………….5 ewk62{
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 UtiS?w6
1.1.1 Layered medium electromagnetic field equations………………………………...5 .Lp0_R@
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 2ZB'WzH.X
1.1.3 The Fresnel formulas ……………………………………………………………18 y^:g"|q
1.1.4 Other ways of determining amplitude transmittance and reflectance of the PZRpH
layered medium…………………………………………………………………..19 V2'(}k
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ^Yn{Vi2.
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 7k:}9M~
1.2.1 Matrix calculating method ………………………………………………………22 jpaY:fcF
1.2.2 Description of optical coating and presentation of calculation results…………..28 &S<tX]v
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 WFg'G>*
1.2.4 Approximate formulas…………………………………………………………...33 lvb0dOmY
1.2.5 Other recurrent methods…………………………………………………………34 Tfgx>2
1.2.6 The admittance phase plane……………………………………………………...38 I, .`w/I+
1.3 Some common properties of multilayer coatings…………………………………….46 .dV o[m;
1.3.1 The relation between the characteristic matrix and spectral coefficients of a p/'C
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multilayer coating ……………………………………………………………….47 ZV_Z)<
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 6A/Nlk.
1.3.3 Transmittance and reflectance of the combination of two multilayer ID5?x8o#k
subsystems ……………………………………………………………………....54 S0g5Ym
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1.4 The multilayer coatings optical properties: impact of variations in the layer ![:S~x1
parameters……………………………………………………………………………...58 +8Zt<snG
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 'e\m6~u\hm
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral "a6
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coefficients: probability assessment method ……………………….…………...63 2:/'
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter M0 x5s@
variations ………………………………………………………………………...66 ZqkP# ]+Y'
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 I
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 FcsEv {#U
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 <0 R7uH
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 QM9~O#rL
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the OcMd'fwO
central wavelength ………………………………………………………………80 Wb!%_1dER
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 i,FG?\x@
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 0: h;ots'
1.6.1 Common expressions for spectral coefficients of filter-type systems near central o~gduNG#
wavelength ………………………………………………………………………88 V@84Cb
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 v(=fV/
Chapter 2 M`KrB5a+6
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 zY\v|l<T
2.1 Synthesis methods based on merit function optimization …………………………...98 ,^,Vq]$3
2.1.1 Merit function selection …………………………………………………………98 27E6S)zv
2.1.2 Merit function optimization ……………………………………………………101 x7l)i!/$
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 RXt`y62yK
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 5gGYG]*l
2.2.1 Needle-like variations of the refractive index ………………………………….115 ?9v!UT
2.2.2 The principal idea of the method ………………………………………………119 :{LVS
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2.2.3 Description of the method ……………………………………………………...124 sG0cN;I]t
Bibliography …...………………………………………….……………….………..……130