Basics of OPTICS OF MULTILAYER SYSTEMS ,7<5dIdZ
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Contents )ASI 41
Preface……………………………………………………………………….………..……….4 YJF!_kg.
Chapter 1 : 3*(kb1)&
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: {&G0jsA
THEORY……………………………………………………………………………………….5 0o c5ahp
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 F"~uu9u
1.1.1 Layered medium electromagnetic field equations………………………………...5 Bv@NE2
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 iVwI}%k
1.1.3 The Fresnel formulas ……………………………………………………………18 I6zKvP8pb
1.1.4 Other ways of determining amplitude transmittance and reflectance of the -NH c~ =m
layered medium…………………………………………………………………..19 m)g:@^$
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ]qvrpI!E!
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 I 6X_DPY
1.2.1 Matrix calculating method ………………………………………………………22 z-ra]
1.2.2 Description of optical coating and presentation of calculation results…………..28 / 9^:*,
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 @tR:}J*9s
1.2.4 Approximate formulas…………………………………………………………...33 ~~;J[F p
1.2.5 Other recurrent methods…………………………………………………………34 E&#cU}ErN
1.2.6 The admittance phase plane……………………………………………………...38 2E;UHR
1.3 Some common properties of multilayer coatings…………………………………….46 `[X5mEe
1.3.1 The relation between the characteristic matrix and spectral coefficients of a R:fERj<s
multilayer coating ……………………………………………………………….47 Fe{lM'
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ^ yyL4{/
1.3.3 Transmittance and reflectance of the combination of two multilayer qwoF4_VN
subsystems ……………………………………………………………………....54 s< h]2W
1.4 The multilayer coatings optical properties: impact of variations in the layer ot8UuBq
parameters……………………………………………………………………………...58 R %aed>zo
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… $!H;,Jxv
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral aHuZzYQ*"j
coefficients: probability assessment method ……………………….…………...63 L9W'TvTwo
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter M&wf4)*%0+
variations ………………………………………………………………………...66 Gx,<|v
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 e5W 8YNA
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 xU6)~ae`JW
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 At3>
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 U["'>&B
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the >cpT_M&C,
central wavelength ………………………………………………………………80 Y HSdaocp
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 mu@He&w"
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Utd`T+AF*
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ~
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wavelength ………………………………………………………………………88 $F2 A
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 NGIt~"e7R4
Chapter 2 ;&RBg+Pr
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 Ymt.>8L
2.1 Synthesis methods based on merit function optimization …………………………...98 }M7{~ov#s
2.1.1 Merit function selection …………………………………………………………98 3)cH\gsg9
2.1.2 Merit function optimization ……………………………………………………101 (JenTL`%u
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 @
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 wIeF(}VM
2.2.1 Needle-like variations of the refractive index ………………………………….115 }w&W\g+E$
2.2.2 The principal idea of the method ………………………………………………119 1u>[0<U~E
2.2.3 Description of the method ……………………………………………………...124 %dn!$ [D@
Bibliography …...………………………………………….……………….………..……130
