Basics of OPTICS OF MULTILAYER SYSTEMS UI:{*N**Z
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Contents $V)LGu2( m
Preface……………………………………………………………………….………..……….4 8EPV\M1%
Chapter 1 .SdEhW15)
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: QPfS3 %p`
THEORY……………………………………………………………………………………….5 =`X@+~%-
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 )Cz^X p)#
1.1.1 Layered medium electromagnetic field equations………………………………...5 3Ec m Nwr
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 u-h3x j
1.1.3 The Fresnel formulas ……………………………………………………………18 ?fEX&t,'
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ~R cd
layered medium…………………………………………………………………..19 <8 At = U
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 5 b[:B~J
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 V|.aud=7z
1.2.1 Matrix calculating method ………………………………………………………22 v|Tg %
1.2.2 Description of optical coating and presentation of calculation results…………..28 GfU+'k;9
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ^ >ca*g
1.2.4 Approximate formulas…………………………………………………………...33 !DCJ2h%E[_
1.2.5 Other recurrent methods…………………………………………………………34 L/GM~*Xp(O
1.2.6 The admittance phase plane……………………………………………………...38 `R ^g[0 w'
1.3 Some common properties of multilayer coatings…………………………………….46 S~F:%@,*
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 5e,Dk0d
multilayer coating ……………………………………………………………….47 685o1c|
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 #~.i\|VL
1.3.3 Transmittance and reflectance of the combination of two multilayer l#o43xr
subsystems ……………………………………………………………………....54 BQB O]<99
1.4 The multilayer coatings optical properties: impact of variations in the layer *<U&DOYV:
parameters……………………………………………………………………………...58 asW1GZO
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… KW&&AuPb}
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral $YS D%/c
coefficients: probability assessment method ……………………….…………...63 $#@4i4TN-
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter R\:C |/6f
variations ………………………………………………………………………...66 A0rdQmrOL
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 NI(`o8fN
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 J6 [x(T
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 4 _N)1u !
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 nHKEtKDd
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the }C7tlA8,7
central wavelength ………………………………………………………………80 =pcj{B{qa
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 n/?5[O-D]
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 #K! Df%,<
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ''BP4=r5 n
wavelength ………………………………………………………………………88 vo`wYJ3W
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ].dTEzL9X
Chapter 2 @? Y^=0
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 o Ayk
2.1 Synthesis methods based on merit function optimization …………………………...98 7^iF,N
2.1.1 Merit function selection …………………………………………………………98 /"CKVQ
2.1.2 Merit function optimization ……………………………………………………101 sD{b0mZT
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 N`Bt|#R
2.2.1 Needle-like variations of the refractive index ………………………………….115 "}SER C7
2.2.2 The principal idea of the method ………………………………………………119 4rM77Uw>
2.2.3 Description of the method ……………………………………………………...124 % C
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Bibliography …...………………………………………….……………….………..……130
