Basics of OPTICS OF MULTILAYER SYSTEMS [c06 N$:
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Contents Hq 188<
Preface……………………………………………………………………….………..……….4 "g#i'"qnW
Chapter 1 < d_!mKw
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: +2j AC r
THEORY……………………………………………………………………………………….5 ;({W#Wa
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ?pZOeqqu$
1.1.1 Layered medium electromagnetic field equations………………………………...5 40<m rVl
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 y^%y<~f
1.1.3 The Fresnel formulas ……………………………………………………………18 /FJu)H..U
1.1.4 Other ways of determining amplitude transmittance and reflectance of the V$?SR44>nH
layered medium…………………………………………………………………..19 alvrh'5 1
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 OydwE
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 eGH aY4|
1.2.1 Matrix calculating method ………………………………………………………22 JO< wU
1.2.2 Description of optical coating and presentation of calculation results…………..28 i7>tU=
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 IN G@B#Cl
1.2.4 Approximate formulas…………………………………………………………...33 o0 vUj
1.2.5 Other recurrent methods…………………………………………………………34 t<viX's
1.2.6 The admittance phase plane……………………………………………………...38 ?S$P9^ii'
1.3 Some common properties of multilayer coatings…………………………………….46 Wiu"k%Qsh
1.3.1 The relation between the characteristic matrix and spectral coefficients of a @{O`E^}-D
multilayer coating ……………………………………………………………….47 E\,-XH
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 |H+Wed|
1.3.3 Transmittance and reflectance of the combination of two multilayer 8 *T=Xei8
subsystems ……………………………………………………………………....54 ^ ovR7+V
1.4 The multilayer coatings optical properties: impact of variations in the layer aAA U{EWW
parameters……………………………………………………………………………...58
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ,WB{i^TD
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral iW /}#
coefficients: probability assessment method ……………………….…………...63 5o8EC"
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter /~f'}]W
variations ………………………………………………………………………...66 <3hRyG@ vB
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 & 9 ?\b7
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 /Mu @,)''
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 .h4 \Y A
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 qeZ? 7#Gf
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 0=E]cQwh
central wavelength ………………………………………………………………80 R!N%o~C 2-
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 Tyf`j,=
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 fsWTF<Y
1.6.1 Common expressions for spectral coefficients of filter-type systems near central `lt"[K<
wavelength ………………………………………………………………………88 P(z+ +A&
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 OH(waKq2I
Chapter 2 -p XSSa;O9
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ?m? ::R H
2.1 Synthesis methods based on merit function optimization …………………………...98 Ak"m 85B
2.1.1 Merit function selection …………………………………………………………98 nK%LRcAs
2.1.2 Merit function optimization ……………………………………………………101 "~C,bk
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 3x'| ]Ns
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ,>mrPtxN
2.2.1 Needle-like variations of the refractive index ………………………………….115 xx%j.zDI]
2.2.2 The principal idea of the method ………………………………………………119 k{SAvKx=
2.2.3 Description of the method ……………………………………………………...124 -I,$_
Bibliography …...………………………………………….……………….………..……130
