Basics of OPTICS OF MULTILAYER SYSTEMS }@V(y 9K
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Contents g[j"]~
Preface……………………………………………………………………….………..……….4 aU2O5 z&
Chapter 1 c{j0A;XMS
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: x X
THEORY……………………………………………………………………………………….5 P}H7WH
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 `,&h!h((
1.1.1 Layered medium electromagnetic field equations………………………………...5 I`2hxLwh+
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 >U 9*
1.1.3 The Fresnel formulas ……………………………………………………………18 pHY~_^B4&
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 7vV3"uns
layered medium…………………………………………………………………..19 B5!$5 Qc
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 A%u-6"
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 qU#Gz7/
1.2.1 Matrix calculating method ………………………………………………………22 $CO^dFf
1.2.2 Description of optical coating and presentation of calculation results…………..28 ;*+jCL 2F
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 {y'c*NS
1.2.4 Approximate formulas…………………………………………………………...33 b IcLMG
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1.2.5 Other recurrent methods…………………………………………………………34 u|=_!$8
1.2.6 The admittance phase plane……………………………………………………...38 ZYrXa v<
1.3 Some common properties of multilayer coatings…………………………………….46 W z3y+I/&
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ow
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multilayer coating ……………………………………………………………….47 F`U%xn,
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 D2~e@J(K
1.3.3 Transmittance and reflectance of the combination of two multilayer kVQKP U
subsystems ……………………………………………………………………....54 ;]MHU/
1.4 The multilayer coatings optical properties: impact of variations in the layer ]E88zWDY`
parameters……………………………………………………………………………...58 [z`U 9J
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… U=p,drF,A
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral < r,l
coefficients: probability assessment method ……………………….…………...63 IR|AlIv
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ld4Qh Zia
variations ………………………………………………………………………...66 &?/h#oF@\
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 8MM#q+8
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 (D{Fln\
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Dq
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 s6 w</
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ?I`']|I
central wavelength ………………………………………………………………80 "Sc_E}q |e
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 >"B95$x5
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ! SD?
1.6.1 Common expressions for spectral coefficients of filter-type systems near central "Q#/J )N
wavelength ………………………………………………………………………88 Zy T9y
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 $Dd IY}
Chapter 2 3.?Pd K&C
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 W sQo+Ua
2.1 Synthesis methods based on merit function optimization …………………………...98 KDu M;
2.1.1 Merit function selection …………………………………………………………98 _NA0$bGN9
2.1.2 Merit function optimization ……………………………………………………101 [(w _!|S
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 GNqw]@'Yf
2.2 Synthesis method based on the needle-like variations of the refractive index ……114
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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 ^~0\d;l_
2.2.3 Description of the method ……………………………………………………...124
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Bibliography …...………………………………………….……………….………..……130
