Basics of OPTICS OF MULTILAYER SYSTEMS M j?`j_X
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Contents :WS@=sZN
Preface……………………………………………………………………….………..……….4 m6K}|j
Chapter 1 +wU@ynw
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: gH Eu/8E
THEORY……………………………………………………………………………………….5 cJ
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 n;C
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1.1.1 Layered medium electromagnetic field equations………………………………...5 6|%?te x
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 L>NL:68yN
1.1.3 The Fresnel formulas ……………………………………………………………18 ~&_z2|UXp
1.1.4 Other ways of determining amplitude transmittance and reflectance of the wn, KY$/
layered medium…………………………………………………………………..19 l^-];|Y
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 D~iz+{Q4
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 9@:2wR |
1.2.1 Matrix calculating method ………………………………………………………22 7~% ?#
1.2.2 Description of optical coating and presentation of calculation results…………..28 (ejvF):|
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 xY8$I6
1.2.4 Approximate formulas…………………………………………………………...33 r: '.nhe
1.2.5 Other recurrent methods…………………………………………………………34 ,vawzq[oSy
1.2.6 The admittance phase plane……………………………………………………...38 !cLo> ,4
1.3 Some common properties of multilayer coatings…………………………………….46 9Cp-qA%t
1.3.1 The relation between the characteristic matrix and spectral coefficients of a [z\$?VJspQ
multilayer coating ……………………………………………………………….47 q=m'^
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 G]tn i
1.3.3 Transmittance and reflectance of the combination of two multilayer 8)3*6+D
subsystems ……………………………………………………………………....54 " 5!oi]@>(
1.4 The multilayer coatings optical properties: impact of variations in the layer |\t-g" ~sN
parameters……………………………………………………………………………...58 *?>T,g x}
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… CL;}IBd a
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ^_W#+>&--
coefficients: probability assessment method ……………………….…………...63 "ycJ:Xv49
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter D&
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variations ………………………………………………………………………...66 4G 0m\[Du
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 -p-ZzgQ
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 W:n ef<WH
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 +oML&g-g_
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ~?Pw& K2
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the eA ? RK.e
central wavelength ………………………………………………………………80 ZzpUUH/r
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 D%Sl AzZ3
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 vX"*4m>b?+
1.6.1 Common expressions for spectral coefficients of filter-type systems near central n\'4
wavelength ………………………………………………………………………88 ]
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 At>DjKx]O
Chapter 2 E_wCN&`[
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 Y(' #jU
2.1 Synthesis methods based on merit function optimization …………………………...98 50wulGJud
2.1.1 Merit function selection …………………………………………………………98 }?i0
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2.1.2 Merit function optimization ……………………………………………………101 !hy-L_wL]
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Vwf$JdK%&l
2.2 Synthesis method based on the needle-like variations of the refractive index ……114
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2.2.1 Needle-like variations of the refractive index ………………………………….115 7U"g3 a)=
2.2.2 The principal idea of the method ………………………………………………119 W,n!3:7 s
2.2.3 Description of the method ……………………………………………………...124 Sy_G, +$\
Bibliography …...………………………………………….……………….………..……130
