Basics of OPTICS OF MULTILAYER SYSTEMS _=Z, E.EN
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Contents }!"A! ~&
Preface……………………………………………………………………….………..……….4 (l-tvk4Ln
Chapter 1 4wa`<H&S5
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: iOR_[ y,
THEORY……………………………………………………………………………………….5 +BVym~*^
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 zVXC1 u9B
1.1.1 Layered medium electromagnetic field equations………………………………...5 xy5lE+E_U
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 J
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1.1.3 The Fresnel formulas ……………………………………………………………18 M m[4yP%
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ?t/ ~lv
layered medium…………………………………………………………………..19 tBq
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 Mr;E<Lj ^K
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 (i34sqV$m
1.2.1 Matrix calculating method ………………………………………………………22 lD^]\;?
1.2.2 Description of optical coating and presentation of calculation results…………..28 0fb`08,^
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 C8[&S&<_<
1.2.4 Approximate formulas…………………………………………………………...33 Ss~;m']68
1.2.5 Other recurrent methods…………………………………………………………34 <j&DK2u=i
1.2.6 The admittance phase plane……………………………………………………...38 @hJ%@(
1.3 Some common properties of multilayer coatings…………………………………….46 eqP&8^HP
1.3.1 The relation between the characteristic matrix and spectral coefficients of a
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multilayer coating ……………………………………………………………….47 0Fk5kGD,&K
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 0y
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1.3.3 Transmittance and reflectance of the combination of two multilayer NLUT#!Gr
subsystems ……………………………………………………………………....54 ]w;rfn9D
1.4 The multilayer coatings optical properties: impact of variations in the layer uJFdbBDSh
parameters……………………………………………………………………………...58 yRSTk2N@
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… W%T>SpFl
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral *of3:w
coefficients: probability assessment method ……………………….…………...63 x^ kp^
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter (d(hR0HKE
variations ………………………………………………………………………...66 "OQ^U_
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 0J?~N`# O|
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 lz YEx
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 )Y2{_ bx4"
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 _CW(PsfY
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the } \HN&@
central wavelength ………………………………………………………………80 85n1eE
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 5j d,{ <
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 R_sr?V|"
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 62 O.?Ij
wavelength ………………………………………………………………………88 `S6x<J&T\/
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 RRRCS]y7$t
Chapter 2 jUSmq m'
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 S/D^
2.1 Synthesis methods based on merit function optimization …………………………...98 FrTi+& <
2.1.1 Merit function selection …………………………………………………………98 {DU`[:SQZg
2.1.2 Merit function optimization ……………………………………………………101 2.% .Z_k)
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 V'kX) $
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 1+9W+$=h2
2.2.1 Needle-like variations of the refractive index ………………………………….115 fb{`` ,nO
2.2.2 The principal idea of the method ………………………………………………119 y^%n'h{
2.2.3 Description of the method ……………………………………………………...124 W#KpPDgZE
Bibliography …...………………………………………….……………….………..……130
