Basics of OPTICS OF MULTILAYER SYSTEMS }4A+J"M4y
{hZ_f3o
Contents o LuGW5wzj
Preface……………………………………………………………………….………..……….4 s-o0N{b?#'
Chapter 1 ?G0=\U<
o,
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: n8iejdA'
THEORY……………………………………………………………………………………….5 i,<TaW*I
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 + :iN oDz
1.1.1 Layered medium electromagnetic field equations………………………………...5 c5R58#XK=
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 BU<A+Pe>
1.1.3 The Fresnel formulas ……………………………………………………………18 ;u!>( QQ
1.1.4 Other ways of determining amplitude transmittance and reflectance of the (!W:-|[K\
layered medium…………………………………………………………………..19 2@uo2]o)
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 gqyQ Zew
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 9_5Fl,u
z
1.2.1 Matrix calculating method ………………………………………………………22 [=S@lURzm@
1.2.2 Description of optical coating and presentation of calculation results…………..28 ?P0$n 7,
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 vZhN%
DfY
1.2.4 Approximate formulas…………………………………………………………...33 h1FM)n[E7
1.2.5 Other recurrent methods…………………………………………………………34 <M7@JgC &
1.2.6 The admittance phase plane……………………………………………………...38 h&NcN-["
1.3 Some common properties of multilayer coatings…………………………………….46 FTtYzKX(bv
1.3.1 The relation between the characteristic matrix and spectral coefficients of a b kLm]n3
multilayer coating ……………………………………………………………….47 F>96]71
2
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 pWO,yxr:
1.3.3 Transmittance and reflectance of the combination of two multilayer T%
Kj >-
subsystems ……………………………………………………………………....54 ! Hdg
$,
1.4 The multilayer coatings optical properties: impact of variations in the layer HGh`O\f8
parameters……………………………………………………………………………...58 j:O=9
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Z +(V'e;
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral O292 JA
coefficients: probability assessment method ……………………….…………...63 daGGgSbh
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter `GqS.O}C
variations ………………………………………………………………………...66 Nt $/JBB[$
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Bei z*2-}a
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 z )a8
^]`
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 %_K NAuM
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 HZkC3$
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the =5[}&W
central wavelength ………………………………………………………………80 )l\BZndf
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 >e>Q'g{
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Hh$x8ADf
1.6.1 Common expressions for spectral coefficients of filter-type systems near central =S|SQz5%w
wavelength ………………………………………………………………………88 V[HH P_
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 x6.a n_W6
Chapter 2 Jc-0.^]E}
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 C-@@`EP
2.1 Synthesis methods based on merit function optimization …………………………...98 o'D{ql
2.1.1 Merit function selection …………………………………………………………98 O-U_Zx0zd
2.1.2 Merit function optimization ……………………………………………………101 )o
SFHf
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 [JO' ta
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 .px*.e s
2.2.1 Needle-like variations of the refractive index ………………………………….115 m!$"-nh9
2.2.2 The principal idea of the method ………………………………………………119 s@j z u
2.2.3 Description of the method ……………………………………………………...124 5A>W;Q\4
Bibliography …...………………………………………….……………….………..……130
