Basics of OPTICS OF MULTILAYER SYSTEMS eDm~B (G$
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Contents tv)U 7 K0
Preface……………………………………………………………………….………..……….4 \xH#X=J
Chapter 1 Ua@rp3fr
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: b,U3b})(
THEORY……………………………………………………………………………………….5 cdDMV %V
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 h9McC 3
1.1.1 Layered medium electromagnetic field equations………………………………...5 DiB~Ovh|
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 k+"+s
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1.1.3 The Fresnel formulas ……………………………………………………………18 Q e!Q
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the "rj qDpH
layered medium…………………………………………………………………..19 &?@gUk74"
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 q>~\w1%}a\
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 +q==Y/z
1.2.1 Matrix calculating method ………………………………………………………22 $> 3/6(bW
1.2.2 Description of optical coating and presentation of calculation results…………..28 idC4yH42
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 2 o`a^'Iw
1.2.4 Approximate formulas…………………………………………………………...33 Q}J'S5%
1.2.5 Other recurrent methods…………………………………………………………34 ]to"X7/
1.2.6 The admittance phase plane……………………………………………………...38 i4Y_5
1.3 Some common properties of multilayer coatings…………………………………….46 OAc*W<Q 0
1.3.1 The relation between the characteristic matrix and spectral coefficients of a <bwsK,C
multilayer coating ……………………………………………………………….47 eB:OvOol*^
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 &=sVq^d@qe
1.3.3 Transmittance and reflectance of the combination of two multilayer x9#>0
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subsystems ……………………………………………………………………....54 ,t+5( qi
1.4 The multilayer coatings optical properties: impact of variations in the layer )
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parameters……………………………………………………………………………...58 ^KU:5Bn
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… v5|X=B>&>
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 9E (VU.
coefficients: probability assessment method ……………………….…………...63 ^N!l$&=
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter g& y R -
variations ………………………………………………………………………...66 gc:qqJi)X
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Ul?Ha{ W
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 8t$a8 PE
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 }}3*tn<6
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 T,72I
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the X51 7PT8O
central wavelength ………………………………………………………………80 wX6VapFboI
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 3z[yKua\
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 g1Q^x/
1.6.1 Common expressions for spectral coefficients of filter-type systems near central APT'2 -I_
wavelength ………………………………………………………………………88 V| > u,
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 `0rEV _$
Chapter 2 G
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 [_jTy;E
2.1 Synthesis methods based on merit function optimization …………………………...98 TxhTK5#f
2.1.1 Merit function selection …………………………………………………………98 '|0Dt|$
2.1.2 Merit function optimization ……………………………………………………101 J9oGw P
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 q/,W'lQ\;
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 ex8mA6g
2.2.2 The principal idea of the method ………………………………………………119 DRD%pm(
2.2.3 Description of the method ……………………………………………………...124 4q)eNcs
Bibliography …...………………………………………….……………….………..……130
