Basics of OPTICS OF MULTILAYER SYSTEMS kf<c, 3A
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Contents P
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Preface……………………………………………………………………….………..……….4 6}ce1|mkg/
Chapter 1 7FAIew\r
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 9 |'
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THEORY……………………………………………………………………………………….5 Lp_$?MCD.
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Ls&+XlrX8
1.1.1 Layered medium electromagnetic field equations………………………………...5 G+0><,S
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ,eR8 ~ (`=
1.1.3 The Fresnel formulas ……………………………………………………………18 b9!.-^<8y
1.1.4 Other ways of determining amplitude transmittance and reflectance of the l0I}&,+
layered medium…………………………………………………………………..19 @.'z* |z
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 XMGx ^mn
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 <"W?<VjO
1.2.1 Matrix calculating method ………………………………………………………22 U 4Z[!s$
1.2.2 Description of optical coating and presentation of calculation results…………..28 pD"YNlB^
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 X*i/A<Y`=
1.2.4 Approximate formulas…………………………………………………………...33 W+_ R hJ
1.2.5 Other recurrent methods…………………………………………………………34 WzjL-a(
1.2.6 The admittance phase plane……………………………………………………...38 >*I N
1.3 Some common properties of multilayer coatings…………………………………….46 ~
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1.3.1 The relation between the characteristic matrix and spectral coefficients of a WvujcmOf
multilayer coating ……………………………………………………………….47 }^9]jSq5
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 #? d Uv#
1.3.3 Transmittance and reflectance of the combination of two multilayer eqq`TT#Z
subsystems ……………………………………………………………………....54 !=3Rg-'d1
1.4 The multilayer coatings optical properties: impact of variations in the layer L'l F/qe^
parameters……………………………………………………………………………...58 7| YN:7iA
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… oK2pM18
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 9qKzS<"h
coefficients: probability assessment method ……………………….…………...63 0n.S,3|
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 9M_(He
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variations ………………………………………………………………………...66
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Zmf'{t T5
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 &rp!%]+xAM
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 d6`OXTD
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Z?oG*G:
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the
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central wavelength ………………………………………………………………80 SVagT'BB
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 I^D0<lHl~
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 RsW9:*R
1.6.1 Common expressions for spectral coefficients of filter-type systems near central YzAFC11,
wavelength ………………………………………………………………………88 'Hw4j:pS
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 Q.+|xwz
Chapter 2 m#f{]+6U
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 - hzj V|
2.1 Synthesis methods based on merit function optimization …………………………...98 &-%X:~|:X
2.1.1 Merit function selection …………………………………………………………98 4 ,G w#@
2.1.2 Merit function optimization ……………………………………………………101 vfcb :x
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 1DE@N1l
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 3LDsxE=N:q
2.2.1 Needle-like variations of the refractive index ………………………………….115
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2.2.2 The principal idea of the method ………………………………………………119 QK; T~
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2.2.3 Description of the method ……………………………………………………...124 HSN8O@dy
Bibliography …...………………………………………….……………….………..……130
