Basics of OPTICS OF MULTILAYER SYSTEMS !] !J"!xg*
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Contents SHe547X1
Preface……………………………………………………………………….………..……….4 4tFn Z2x
Chapter 1 Wvwjj~HP2}
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: biAa&
THEORY……………………………………………………………………………………….5 8,?*e YNjb
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 gqACI XR
1.1.1 Layered medium electromagnetic field equations………………………………...5 vA0f4W 8+
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ag"Nf-o/Y
1.1.3 The Fresnel formulas ……………………………………………………………18 sm;\;MP*yH
1.1.4 Other ways of determining amplitude transmittance and reflectance of the -|/*S]6kK
layered medium…………………………………………………………………..19 m~vEan dm
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 !+ ??3-q
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 C'fQ Z,r-v
1.2.1 Matrix calculating method ………………………………………………………22 OG2&=~hOz-
1.2.2 Description of optical coating and presentation of calculation results…………..28 ?YhG W
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 lgh+\ pj
1.2.4 Approximate formulas…………………………………………………………...33 87:V-*8
1.2.5 Other recurrent methods…………………………………………………………34 WlnS.P\+E
1.2.6 The admittance phase plane……………………………………………………...38 "$N 4S9U
1.3 Some common properties of multilayer coatings…………………………………….46 oJVpJA0IA
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 6g%~~hX
multilayer coating ……………………………………………………………….47 k3r<']S^
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 -^= JKd &p
1.3.3 Transmittance and reflectance of the combination of two multilayer z irnur1
subsystems ……………………………………………………………………....54 ~X1<x4P\
1.4 The multilayer coatings optical properties: impact of variations in the layer %51HJB}C]
parameters……………………………………………………………………………...58 8DZ
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 2B= +p8 3<
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral t$b {zv9C
coefficients: probability assessment method ……………………….…………...63 ?
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter -5Ln 3\ O@
variations ………………………………………………………………………...66 OJPi*i 5*
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 T+)#Du
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 d0N/!;
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 rZG6}<Hx
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 4F?O5&329i
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the _:?b -44
central wavelength ………………………………………………………………80 A<[X @o}92
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 8Z(\iZ5Rgj
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 b n0Rv
1.6.1 Common expressions for spectral coefficients of filter-type systems near central VyxX5Lrj
wavelength ………………………………………………………………………88 E#mpj~{-
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 1F94e)M)"
Chapter 2 ;&]oV`Ib
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 F}=O Mo:.
2.1 Synthesis methods based on merit function optimization …………………………...98 F48W 8'un
2.1.1 Merit function selection …………………………………………………………98 u_X(c'aE;
2.1.2 Merit function optimization ……………………………………………………101 PgwNE wG
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 55vI^SSA
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 x_. }C%
2.2.1 Needle-like variations of the refractive index ………………………………….115 y_N h5
2.2.2 The principal idea of the method ………………………………………………119 lyQNE3
2.2.3 Description of the method ……………………………………………………...124 Z6_ E/ S
Bibliography …...………………………………………….……………….………..……130
