Basics of OPTICS OF MULTILAYER SYSTEMS O`4X[r1LD
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Contents ZWv$K0agu
Preface……………………………………………………………………….………..……….4 lsd\ `X5,
Chapter 1 3)sqAs(
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS:
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THEORY……………………………………………………………………………………….5 q~Ud>{
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 H!N,PI?rn
1.1.1 Layered medium electromagnetic field equations………………………………...5 gDH x+"?
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ??4QDa-
1.1.3 The Fresnel formulas ……………………………………………………………18 iw%DQ }$
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Wr;)3K
layered medium…………………………………………………………………..19 yq2Bz7P
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 B}p/ ,4x6
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Q{ RHW@_/
1.2.1 Matrix calculating method ………………………………………………………22 Adh CC13B
1.2.2 Description of optical coating and presentation of calculation results…………..28 7RO=X%0A
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 '7$v@Tvnre
1.2.4 Approximate formulas…………………………………………………………...33 q
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1.2.5 Other recurrent methods…………………………………………………………34 * GA#.$n
1.2.6 The admittance phase plane……………………………………………………...38 ezL*YM8?@
1.3 Some common properties of multilayer coatings…………………………………….46 6eb5 q/
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ^T" A9uaG
multilayer coating ……………………………………………………………….47 Ofn:<d
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 B $HQFdTli
1.3.3 Transmittance and reflectance of the combination of two multilayer 1i{B47|
subsystems ……………………………………………………………………....54 kG{ (Qi
1.4 The multilayer coatings optical properties: impact of variations in the layer /H)l\m
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parameters……………………………………………………………………………...58 Y?> S.B7
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… |Q$C%7
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 0]T
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coefficients: probability assessment method ……………………….…………...63 0pu'K)Rb
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter #ws6z`mt
variations ………………………………………………………………………...66 .UJk0%1
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 i"r=b%;;
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 KxvT} "k
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 <ioX|.7ZX
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 4VK5TW g
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the RD~QNj9,T
central wavelength ………………………………………………………………80 !-: a`Vs+
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 SN 11J+
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 d(k`Yk8
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 1 %*X,E
wavelength ………………………………………………………………………88 %o~zsIl
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 RgEU TpX
Chapter 2 GU!|J7 1z
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 n32?GRp
2.1 Synthesis methods based on merit function optimization …………………………...98 GSl\n"S]=
2.1.1 Merit function selection …………………………………………………………98 4((Z8@iX/
2.1.2 Merit function optimization ……………………………………………………101 %$b
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2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 z%b3/rx
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 u+{5c5_
2.2.1 Needle-like variations of the refractive index ………………………………….115 rGoB&% pc
2.2.2 The principal idea of the method ………………………………………………119 $UKDXQF"
2.2.3 Description of the method ……………………………………………………...124 /+'@}u
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Bibliography …...………………………………………….……………….………..……130
