Basics of OPTICS OF MULTILAYER SYSTEMS 'z=:[#b
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Contents M!M! Ni
Preface……………………………………………………………………….………..……….4 BsZ{|,oQnZ
Chapter 1 qJR!$?
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: kJs ^ z
THEORY……………………………………………………………………………………….5 4 y}"Hy
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 I-NN29 Sk
1.1.1 Layered medium electromagnetic field equations………………………………...5 "()sb? &
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 bVr*h2 p
1.1.3 The Fresnel formulas ……………………………………………………………18 !SHj$Jwa'
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ']o od !
layered medium…………………………………………………………………..19 qu6DQ@
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 vOI[Z0Lq9h
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 % qsvtc`
1.2.1 Matrix calculating method ………………………………………………………22 9O,,m~B
1.2.2 Description of optical coating and presentation of calculation results…………..28 ALd;$fd qf
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ;% q39U}
1.2.4 Approximate formulas…………………………………………………………...33 o[6y+ <'o
1.2.5 Other recurrent methods…………………………………………………………34 (3,.3)%`
1.2.6 The admittance phase plane……………………………………………………...38 j%Y\A ~DV
1.3 Some common properties of multilayer coatings…………………………………….46 Ja^ 5?Ar|
1.3.1 The relation between the characteristic matrix and spectral coefficients of a t@bt6J .{
multilayer coating ……………………………………………………………….47 o5Rz%k#h
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 &[|VZ[
1.3.3 Transmittance and reflectance of the combination of two multilayer 3mt%!}S
subsystems ……………………………………………………………………....54 8_\W/I!7b
1.4 The multilayer coatings optical properties: impact of variations in the layer |E/L.gdP7
parameters……………………………………………………………………………...58 zjX7C~h^Q
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… C idM(
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral \Mx
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coefficients: probability assessment method ……………………….…………...63 {GqXP0'
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter w3*-^: ?j
variations ………………………………………………………………………...66 `kBnSi o~
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 `m%dX'0 E
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 DhKr;e
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 #'o7x 'n^
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 %.x@gi q
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 0??Yr
central wavelength ………………………………………………………………80 2O""4_G
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 0^ !Gib
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 q@#BPu"\l
1.6.1 Common expressions for spectral coefficients of filter-type systems near central +S {
wavelength ………………………………………………………………………88 W 5DbFSgB
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 uVU`tDzd:
Chapter 2 -
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 Bmr< O !
2.1 Synthesis methods based on merit function optimization …………………………...98 +GNWF%
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2.1.1 Merit function selection …………………………………………………………98 )q?$p9
2.1.2 Merit function optimization ……………………………………………………101 \ %_ZV9cKF
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 jD< pIHau
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 E)' 8U
2.2.1 Needle-like variations of the refractive index ………………………………….115 wgd<3 X
2.2.2 The principal idea of the method ………………………………………………119 } ~enEZ
2.2.3 Description of the method ……………………………………………………...124 oFg'wAO.
Bibliography …...………………………………………….……………….………..……130
