Basics of OPTICS OF MULTILAYER SYSTEMS "i+fO&LpZ
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Contents 9cJzL"yi
Preface……………………………………………………………………….………..……….4 t@K N+
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Chapter 1 K OZHz`1!
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: eGZ{%\PH<
THEORY……………………………………………………………………………………….5 %O$4da"y
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ! } u '%
1.1.1 Layered medium electromagnetic field equations………………………………...5 Y9h~ hD
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 NXQdy g,
1.1.3 The Fresnel formulas ……………………………………………………………18 qT(
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the {-2 8%
layered medium…………………………………………………………………..19 1BQB8i-,
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 J|k~e,C
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 *], ]E;
1.2.1 Matrix calculating method ………………………………………………………22 Dps0$f c
1.2.2 Description of optical coating and presentation of calculation results…………..28 !<ps K[
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 9~8U G (
1.2.4 Approximate formulas…………………………………………………………...33 577H{;pW
1.2.5 Other recurrent methods…………………………………………………………34 [12^NEt
1.2.6 The admittance phase plane……………………………………………………...38 _7?LINF9
1.3 Some common properties of multilayer coatings…………………………………….46 B(< ;]
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Iu`B7UOF
multilayer coating ……………………………………………………………….47 "Dbjp5_
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 OidF{I*O
1.3.3 Transmittance and reflectance of the combination of two multilayer 7<W7pXDp
subsystems ……………………………………………………………………....54 j oa|5v'
1.4 The multilayer coatings optical properties: impact of variations in the layer ,z6&k
parameters……………………………………………………………………………...58 &%QtUPvr9
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… $0[T=9q <+
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral a8K"Z-LlQ
coefficients: probability assessment method ……………………….…………...63 <^}{sdOyu
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter \ "193CW!
variations ………………………………………………………………………...66 ]=5nC)|
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Z!Y ^i N
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 @+L ZSd+I
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 c hE~UQ
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ?zwPF;L*
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the !(=b H"P
central wavelength ………………………………………………………………80 n
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ; M '?k8L
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central ]ee%=+'
wavelength ………………………………………………………………………88 u_.`I8qa
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ] -O/{FIv
Chapter 2 RC5b'+E&#
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 FuEgI8+b
2.1 Synthesis methods based on merit function optimization …………………………...98 w{$t:l)2,
2.1.1 Merit function selection …………………………………………………………98 ;IX3w:Aw
2.1.2 Merit function optimization ……………………………………………………101 +R}(t{ b#
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 B|#*I[4`w@
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Z_&6 <1,H
2.2.1 Needle-like variations of the refractive index ………………………………….115 %a-:f)@
2.2.2 The principal idea of the method ………………………………………………119 #`P4s >IL1
2.2.3 Description of the method ……………………………………………………...124 Snx_NH#tA
Bibliography …...………………………………………….……………….………..……130
