Basics of OPTICS OF MULTILAYER SYSTEMS N8KHNTb-M
D.HAp+lx
Contents @ O%m,
Preface……………………………………………………………………….………..……….4 /kn t 5
Chapter 1 9
Iw+g]`y*
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: I\[*vgjm3G
THEORY……………………………………………………………………………………….5 Pg`^EJ+
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 7ed *dXY*
1.1.1 Layered medium electromagnetic field equations………………………………...5 #a/lt^}C*
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 I&^?,Fyy<
1.1.3 The Fresnel formulas ……………………………………………………………18 B a Xzz
1.1.4 Other ways of determining amplitude transmittance and reflectance of the js> 6Du
layered medium…………………………………………………………………..19 {!=I GFe
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 V,>#!zUv
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 !x,3k\M
1.2.1 Matrix calculating method ………………………………………………………22 #|'8 O
1.2.2 Description of optical coating and presentation of calculation results…………..28 4 ba 1c
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 <H$ CCo
1.2.4 Approximate formulas…………………………………………………………...33 $CXqkK<6
1.2.5 Other recurrent methods…………………………………………………………34 | o+ vpy
1.2.6 The admittance phase plane……………………………………………………...38 5uu{f&?u)
1.3 Some common properties of multilayer coatings…………………………………….46 1z8.wdWJ}
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ZI5UQH/
multilayer coating ……………………………………………………………….47 zis-}K<
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ,x_g|J _Y
1.3.3 Transmittance and reflectance of the combination of two multilayer bjR&bIA:
subsystems ……………………………………………………………………....54 -,Q<*)q{
1.4 The multilayer coatings optical properties: impact of variations in the layer `RjcJ ?r
parameters……………………………………………………………………………...58 d{YhKf#~
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… >f_D|;EV
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral {( t (}-:Z
coefficients: probability assessment method ……………………….…………...63 EK#w: "
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter of(Nq@
variations ………………………………………………………………………...66 l =' lV]
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 .%*.nq
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 XbHcd8N T
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 S?D2`b
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 .}Xkr+
+]
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the o]jo R3
central wavelength ………………………………………………………………80 t[3Upe%
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 {VI%]n{M
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 a8dR .
1.6.1 Common expressions for spectral coefficients of filter-type systems near central :CH'Bt4<
wavelength ………………………………………………………………………88 S:DB%V3
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 dAga(<K
Chapter 2 IMV oNKW-
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 q/]tJ{ FI
2.1 Synthesis methods based on merit function optimization …………………………...98 m@ jOIt!<
2.1.1 Merit function selection …………………………………………………………98 y*zZ }>
2.1.2 Merit function optimization ……………………………………………………101 b5yb~ ;0
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ,E/vHI8
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 71wyZJ
2.2.1 Needle-like variations of the refractive index ………………………………….115 4,)=r3;&!
2.2.2 The principal idea of the method ………………………………………………119 N\H(AzMw
2.2.3 Description of the method ……………………………………………………...124 ujwI4oj"c
Bibliography …...………………………………………….……………….………..……130
