Basics of OPTICS OF MULTILAYER SYSTEMS ]ImS@!Ajjx
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Contents <0 1MXT-
Preface……………………………………………………………………….………..……….4 !WDdq_n*v
Chapter 1 c5Offnq'1
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: K5k,47"
THEORY……………………………………………………………………………………….5 B{zIW'L d
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Q>||HtF$ A
1.1.1 Layered medium electromagnetic field equations………………………………...5 c-gaK\u}j}
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 )TXn 7{M:
1.1.3 The Fresnel formulas ……………………………………………………………18 F= # zy#@.
1.1.4 Other ways of determining amplitude transmittance and reflectance of the uE/qr aA
layered medium…………………………………………………………………..19 L 9G=+T9
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 Xf# uK\f
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 .%D] z{''
1.2.1 Matrix calculating method ………………………………………………………22 sYXVSNonm
1.2.2 Description of optical coating and presentation of calculation results…………..28 iPE-j#|
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 u, &Z5S
1.2.4 Approximate formulas…………………………………………………………...33 heRQ|n.Dz)
1.2.5 Other recurrent methods…………………………………………………………34 R$PiF1ffj
1.2.6 The admittance phase plane……………………………………………………...38 |/rBR!kPq
1.3 Some common properties of multilayer coatings…………………………………….46 UY>{e>/H9
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ULsz<Hj
multilayer coating ……………………………………………………………….47 c L84}1QD
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 SR8[
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1.3.3 Transmittance and reflectance of the combination of two multilayer qf
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subsystems ……………………………………………………………………....54 ;r8,Wx@f1C
1.4 The multilayer coatings optical properties: impact of variations in the layer "zm.jNn
parameters……………………………………………………………………………...58 # U!J2240
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… C10A$=!
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral k9Yr&8B
coefficients: probability assessment method ……………………….…………...63 MLL2V `vBT
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Rk`c'WP0*
variations ………………………………………………………………………...66 <f:b%Pm 7
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 c*LnLK/m
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 hX YVi6(k
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 W6]iJ
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 rs\*$20
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 0z\=uQ0
central wavelength ………………………………………………………………80 b/E1v,/<
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 k%uRG_
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 M*@MkN*u&
1.6.1 Common expressions for spectral coefficients of filter-type systems near central BXm{x6\
wavelength ………………………………………………………………………88 Ik~5j(^E-
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 qOkw6jfluh
Chapter 2 6`%}s3Xq
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ~>)cY{wE_
2.1 Synthesis methods based on merit function optimization …………………………...98 T*'5-WV|3t
2.1.1 Merit function selection …………………………………………………………98 4yjAi@ /2
2.1.2 Merit function optimization ……………………………………………………101 C $rZn%dp(
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 hZ$* s f
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Qg1LT8
2.2.1 Needle-like variations of the refractive index ………………………………….115 mnG\UK,k
2.2.2 The principal idea of the method ………………………………………………119 `/Z8mFs Y
2.2.3 Description of the method ……………………………………………………...124 - !7QH'
Bibliography …...………………………………………….……………….………..……130
