Basics of OPTICS OF MULTILAYER SYSTEMS 7KzMa%=
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Contents QV@NA@;XZ
Preface……………………………………………………………………….………..……….4 V&>\U?q:
Chapter 1 ZJ7<!?6
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: kQY+D1
THEORY……………………………………………………………………………………….5 V;V,G+0Re
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 cx(W{O"Jb
1.1.1 Layered medium electromagnetic field equations………………………………...5
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ~il{6Z+#n
1.1.3 The Fresnel formulas ……………………………………………………………18 V>2mz c
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 7w U$P
layered medium…………………………………………………………………..19 s.)nS $
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 [v!TQwMU
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 rq.S0bzH
1.2.1 Matrix calculating method ………………………………………………………22 ZS u0e%
1.2.2 Description of optical coating and presentation of calculation results…………..28 BIr 24N
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 5}/TB_W7j
1.2.4 Approximate formulas…………………………………………………………...33 vj23j[!|
1.2.5 Other recurrent methods…………………………………………………………34 5"] t{-PD
1.2.6 The admittance phase plane……………………………………………………...38 B Rx`83CK
1.3 Some common properties of multilayer coatings…………………………………….46 _E{hB
1.3.1 The relation between the characteristic matrix and spectral coefficients of a D3>;X= 1
multilayer coating ……………………………………………………………….47 %!>~2=Q2*
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 $YyN-C
1.3.3 Transmittance and reflectance of the combination of two multilayer (xJZeY)-b^
subsystems ……………………………………………………………………....54 _IK@K 6V1
1.4 The multilayer coatings optical properties: impact of variations in the layer 0K&\5xXM
parameters……………………………………………………………………………...58 +foyPj!%
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… r. V< 5xV
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ~alC5|wCUQ
coefficients: probability assessment method ……………………….…………...63 2eOde(K+
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 'Si 1r%'m#
variations ………………………………………………………………………...66 l]s, CX
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 XU}|Ud562
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 +Y^_1
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 e (^\0 =u<
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 qQ_o>+3VAy
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the )cMW,
central wavelength ………………………………………………………………80 #\[((y:q
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 .i7bI 2^
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 !U@?Va~Zn
1.6.1 Common expressions for spectral coefficients of filter-type systems near central l9J ]<gG
wavelength ………………………………………………………………………88 T|h/n\fx)a
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 `W8A *
Chapter 2 4gTD HQP
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 m,~
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2.1 Synthesis methods based on merit function optimization …………………………...98 -'tgr6=|w"
2.1.1 Merit function selection …………………………………………………………98 l+>&-lX'
2.1.2 Merit function optimization ……………………………………………………101 2#n4t2 p
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 9Fl}"p[>L.
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 WrR97]7t
2.2.1 Needle-like variations of the refractive index ………………………………….115 6[h 3pb/m
2.2.2 The principal idea of the method ………………………………………………119 8%UI<I,
2.2.3 Description of the method ……………………………………………………...124 y<G@7?
Bibliography …...………………………………………….……………….………..……130
