Basics of OPTICS OF MULTILAYER SYSTEMS D V=xqC6}
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Contents 7 (pl HW|
Preface……………………………………………………………………….………..……….4 DTo P|P
Chapter 1 (Q[(] dfc
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: vNSeNS@jxC
THEORY……………………………………………………………………………………….5 D]NJ ^.X
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 x't@M c
1.1.1 Layered medium electromagnetic field equations………………………………...5 f`bRg8v
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 &\L\n}i-
1.1.3 The Fresnel formulas ……………………………………………………………18 :7[4wQD t4
1.1.4 Other ways of determining amplitude transmittance and reflectance of the SI9P g C
layered medium…………………………………………………………………..19 Jm[_ X
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 #j4jZBOTM
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 \Y^GA;AMQQ
1.2.1 Matrix calculating method ………………………………………………………22 \kEC|O)8
1.2.2 Description of optical coating and presentation of calculation results…………..28 j SdW?IH
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 z# Db~
1.2.4 Approximate formulas…………………………………………………………...33 @ @"abhT
1.2.5 Other recurrent methods…………………………………………………………34 ,lb >
1.2.6 The admittance phase plane……………………………………………………...38 PsO>&Te 2
1.3 Some common properties of multilayer coatings…………………………………….46 cxpG6c
1.3.1 The relation between the characteristic matrix and spectral coefficients of a &@fW6},iW
multilayer coating ……………………………………………………………….47 l
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 x9 i^ _3Z
1.3.3 Transmittance and reflectance of the combination of two multilayer ,u^%[ejH
subsystems ……………………………………………………………………....54 ? F/)<r
1.4 The multilayer coatings optical properties: impact of variations in the layer Y[. f`Ei2
parameters……………………………………………………………………………...58 bmI6OIWl
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… > K s.
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral pz ~REsx
coefficients: probability assessment method ……………………….…………...63 BNq6dz$ J
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter oz&RNB.K
variations ………………………………………………………………………...66 t-?#x
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 !P@4d G
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 P 9?I]a)G
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 K8 Hj)$E61
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 EFz Pt?l
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the {Y1&GO;
central wavelength ………………………………………………………………80 gPcOm
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 Q3rLCg,;
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 yII+#?D
1.6.1 Common expressions for spectral coefficients of filter-type systems near central D8\9n HUD`
wavelength ………………………………………………………………………88 Y{g[LG`U
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 }S 6h1X
Chapter 2 _|wnmeL*
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 L!0}&i;u~5
2.1 Synthesis methods based on merit function optimization …………………………...98 ("P]bU+'>
2.1.1 Merit function selection …………………………………………………………98 7=a=@D[
2.1.2 Merit function optimization ……………………………………………………101 K: b^@>XH
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 =?[:Nj636
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 i 0'g$
2.2.1 Needle-like variations of the refractive index ………………………………….115 ;"JgNad
2.2.2 The principal idea of the method ………………………………………………119 C=8I Ql[^e
2.2.3 Description of the method ……………………………………………………...124 VYnB&3 %DF
Bibliography …...………………………………………….……………….………..……130
