Basics of OPTICS OF MULTILAYER SYSTEMS / uI/8>p(
AIsM:s V]
Contents +C7
1".i-
Preface……………………………………………………………………….………..……….4 992;~lBu
Chapter 1 b3b 4'l
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: J#*Uf>5NY
THEORY……………………………………………………………………………………….5 P
Y
+~,T2
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 >V(>2eD'S
1.1.1 Layered medium electromagnetic field equations………………………………...5 > 7!aZO
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 UwtOlV :G{
1.1.3 The Fresnel formulas ……………………………………………………………18 @_YEK3l]l
1.1.4 Other ways of determining amplitude transmittance and reflectance of the FW7+! A&F
layered medium…………………………………………………………………..19 cJA0$)JP&
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 qx
3.oU
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 O;[PEV ~
1.2.1 Matrix calculating method ………………………………………………………22 ($(6]?J(?7
1.2.2 Description of optical coating and presentation of calculation results…………..28 tYIHsm\b
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 %Hv$PsSJ
1.2.4 Approximate formulas…………………………………………………………...33 L*tXy>&b.
1.2.5 Other recurrent methods…………………………………………………………34 ?>MD /l(l
1.2.6 The admittance phase plane……………………………………………………...38 yp5*8g5
1.3 Some common properties of multilayer coatings…………………………………….46 h7Jo _L7
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Ary$,3X2
multilayer coating ……………………………………………………………….47 :w_F<2d0
0
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 AX**q$ 'R
1.3.3 Transmittance and reflectance of the combination of two multilayer 0 w \X
subsystems ……………………………………………………………………....54 3iYz<M
1.4 The multilayer coatings optical properties: impact of variations in the layer 567ot|cc
parameters……………………………………………………………………………...58 wlqV1.K
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… L:Y sAv
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Te'^O,C)y$
coefficients: probability assessment method ……………………….…………...63 j-gLX
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter { #QFDA
variations ………………………………………………………………………...66 3FUZTX]Q1
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 9?D7"P+
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 d1e'!y}R5
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ulfpop*2
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 wdBytH6r.
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the @usQ*k
central wavelength ………………………………………………………………80 ([|5(Omd\
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 e"r'z
n
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 v ;MI*!E
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 6AUzS4O
wavelength ………………………………………………………………………88 QZ{&7mc>
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 XyS#6D
Chapter 2 6(9Ta'ywZ
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 6?*iIA$b
2.1 Synthesis methods based on merit function optimization …………………………...98 &4*&L.hPM^
2.1.1 Merit function selection …………………………………………………………98 $pk3d+0B
2.1.2 Merit function optimization ……………………………………………………101 $ O}gl Q
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 yfTnj: Fz
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 b]RCe^E1
2.2.1 Needle-like variations of the refractive index ………………………………….115 8e>;E
2.2.2 The principal idea of the method ………………………………………………119 ?; )(O 2p
2.2.3 Description of the method ……………………………………………………...124 1+eC'&@Xjt
Bibliography …...………………………………………….……………….………..……130
