Basics of OPTICS OF MULTILAYER SYSTEMS CJJzCVj
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Contents n 3D;"a3
Preface……………………………………………………………………….………..……….4 :]^P1sH[
Chapter 1 2gq9k}38
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: |,!IZ-
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THEORY……………………………………………………………………………………….5 .QN>z-YA6:
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 iT Ax=SG
1.1.1 Layered medium electromagnetic field equations………………………………...5 Z3& _
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 cxr=k%~}J
1.1.3 The Fresnel formulas ……………………………………………………………18 S>]pRV9rT
1.1.4 Other ways of determining amplitude transmittance and reflectance of the hnc@
layered medium…………………………………………………………………..19 8F&=a,ps[
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 gm[z[~X@
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 8_ tK4PwP
1.2.1 Matrix calculating method ………………………………………………………22
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1.2.2 Description of optical coating and presentation of calculation results…………..28 "v y NxZE
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 .[JYj(p
1.2.4 Approximate formulas…………………………………………………………...33 =yyp?WmC8
1.2.5 Other recurrent methods…………………………………………………………34 N,;5{y1;J
1.2.6 The admittance phase plane……………………………………………………...38 8@2OJ =`[
1.3 Some common properties of multilayer coatings…………………………………….46 T2!6(,
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1.3.1 The relation between the characteristic matrix and spectral coefficients of a ML8<4o
multilayer coating ……………………………………………………………….47 T3pmVl
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 < VSA
1.3.3 Transmittance and reflectance of the combination of two multilayer ,H19`;Q
subsystems ……………………………………………………………………....54 U2wbv Xr5-
1.4 The multilayer coatings optical properties: impact of variations in the layer _G.>+!"2/
parameters……………………………………………………………………………...58 <- D0 u?8
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Hr]h
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral *Ie7{EhJ'
coefficients: probability assessment method ……………………….…………...63 M #=]
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ?Vdia:
variations ………………………………………………………………………...66 o)2W`i &
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 2g>SHS@1>
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ,]cD
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 o17ekM L
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 -cSP _1
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the j(k:
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central wavelength ………………………………………………………………80 km1~yQ"bH
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 vOc 9ZE
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 A' /KUi
1.6.1 Common expressions for spectral coefficients of filter-type systems near central :C65-[PSdO
wavelength ………………………………………………………………………88 cvfr)K[0
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 d~`x )B(
Chapter 2 m A*AeP_$
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 'Ub
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2.1 Synthesis methods based on merit function optimization …………………………...98 T|dY
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2.1.1 Merit function selection …………………………………………………………98 HOE_S!N
2.1.2 Merit function optimization ……………………………………………………101 !H irhD N
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 *EZHJt9
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 nx^]>w
2.2.1 Needle-like variations of the refractive index ………………………………….115 Ie`13 L2
2.2.2 The principal idea of the method ………………………………………………119 )Ib<F 7 v
2.2.3 Description of the method ……………………………………………………...124 y LdVd
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Bibliography …...………………………………………….……………….………..……130
