Basics of OPTICS OF MULTILAYER SYSTEMS %)?jaE}[
#Xo x2{~
Contents `o295eiY(b
Preface……………………………………………………………………….………..……….4 Z [d13G;
Chapter 1 4C%p KV
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 25-h5$s
THEORY……………………………………………………………………………………….5
w: QO@
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 matna
1.1.1 Layered medium electromagnetic field equations………………………………...5 Z%:>nDZV
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 QAp]cE1ew
1.1.3 The Fresnel formulas ……………………………………………………………18 9jqsEd-SW
1.1.4 Other ways of determining amplitude transmittance and reflectance of the /\h *v!:
layered medium…………………………………………………………………..19 @`:X,]{
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 B 5|\<CF
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 OQB7C0+ &
1.2.1 Matrix calculating method ………………………………………………………22 OM&GypP6&
1.2.2 Description of optical coating and presentation of calculation results…………..28 vQK/xg
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 !e~[U-
1.2.4 Approximate formulas…………………………………………………………...33 3u$ 1W@T(
1.2.5 Other recurrent methods…………………………………………………………34 qrw
1.2.6 The admittance phase plane……………………………………………………...38 6X%g -aTs
1.3 Some common properties of multilayer coatings…………………………………….46 n "6L\u
1.3.1 The relation between the characteristic matrix and spectral coefficients of a =!^
gQ0~4
multilayer coating ……………………………………………………………….47 v /c]=/
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 T!KwRxJ23
1.3.3 Transmittance and reflectance of the combination of two multilayer S* O .
?
subsystems ……………………………………………………………………....54 ZDbe]9#Xh
1.4 The multilayer coatings optical properties: impact of variations in the layer LrbD%2U$j5
parameters……………………………………………………………………………...58 _7<{+Zzm
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… pF8 #H~
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 2*V[kmD/3
coefficients: probability assessment method ……………………….…………...63 bC1G5`v_D
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter &t AYF_}
variations ………………………………………………………………………...66 +|,4g_(j
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 #Ir?v
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 poxF`a6e+
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 pcwYgq#5
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 e@W+ehx"
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the {XmCG%%L
central wavelength ………………………………………………………………80 C\GP}:[T3
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ebQgk
Y=
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 znwKwc8,
1.6.1 Common expressions for spectral coefficients of filter-type systems near central % (y{Sca
wavelength ………………………………………………………………………88 n%7?G=_kj
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 / GC&@y0yi
Chapter 2 }ARA K ^%
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 J4"Fj, FS
2.1 Synthesis methods based on merit function optimization …………………………...98 R/ZScOW[
2.1.1 Merit function selection …………………………………………………………98 =#S .t:HQ*
2.1.2 Merit function optimization ……………………………………………………101 +wmG5!%$|
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ~E7IU<B
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 *b.
>
2.2.1 Needle-like variations of the refractive index ………………………………….115 ^0OP&s;"
2.2.2 The principal idea of the method ………………………………………………119 \ }?X5X>
2.2.3 Description of the method ……………………………………………………...124 WqCC4R,-
Bibliography …...………………………………………….……………….………..……130
