Basics of OPTICS OF MULTILAYER SYSTEMS vp dT2/F
"DRiJ.|APs
Contents d-I=x pB
Preface……………………………………………………………………….………..……….4 qporH]J-E
Chapter 1 $4]4G=o
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: _OK!/T*FBt
THEORY……………………………………………………………………………………….5 FQ/z,it_i
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 rgEN~e'
1.1.1 Layered medium electromagnetic field equations………………………………...5 >=3oe.$)
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 eXkpU7w;
1.1.3 The Fresnel formulas ……………………………………………………………18 Q0L1!}w
1.1.4 Other ways of determining amplitude transmittance and reflectance of the #6#%y~N
layered medium…………………………………………………………………..19 Seq
^o=
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 k7 Ne(4P
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 U:|:Y=O?Q
1.2.1 Matrix calculating method ………………………………………………………22 ayN[y
1.2.2 Description of optical coating and presentation of calculation results…………..28 CH6;jo]
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 31p7oRzr
1.2.4 Approximate formulas…………………………………………………………...33
O44Fj)
1.2.5 Other recurrent methods…………………………………………………………34 )0=H)k0
1.2.6 The admittance phase plane……………………………………………………...38 <V|\yH 9
1.3 Some common properties of multilayer coatings…………………………………….46 { Ut,xi
1.3.1 The relation between the characteristic matrix and spectral coefficients of a m; vm7]5
multilayer coating ……………………………………………………………….47 6-\M }xq?
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 (Y"./BDY
1.3.3 Transmittance and reflectance of the combination of two multilayer d 0:;IUG
subsystems ……………………………………………………………………....54 BD mF+
1.4 The multilayer coatings optical properties: impact of variations in the layer WKq{g+a
parameters……………………………………………………………………………...58 ayLINpL
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… f;b f R&v
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral X$_z"t
coefficients: probability assessment method ……………………….…………...63 =3GgfU5 k
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Q6CVMYT
variations ………………………………………………………………………...66 MO|8A18 B
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 'Ojxzz*tT
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 =r~ExW}+
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 W}WDj:
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 w1+
%+x
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 2>xEE
central wavelength ………………………………………………………………80 2hb>6Z;r]K
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 D<T:UJ
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 X6r3$2!
1.6.1 Common expressions for spectral coefficients of filter-type systems near central k
jx<;##R8
wavelength ………………………………………………………………………88 yY"n: &T(
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 @\U] hN?
Chapter 2 .Z@ i z5
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 n_6#Df*
2.1 Synthesis methods based on merit function optimization …………………………...98 dfXBgsc6i
2.1.1 Merit function selection …………………………………………………………98 $]J< ^{v
2.1.2 Merit function optimization ……………………………………………………101 i`!>zl+D
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 $IJ"fs
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 )vG xF}I3
2.2.1 Needle-like variations of the refractive index ………………………………….115 lXut Z<S[
2.2.2 The principal idea of the method ………………………………………………119 h~ehZJys
2.2.3 Description of the method ……………………………………………………...124 eo&G@zwN
Bibliography …...………………………………………….……………….………..……130
