Basics of OPTICS OF MULTILAYER SYSTEMS )e]:T4*vo
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Contents dI'C[.zp[
Preface……………………………………………………………………….………..……….4 uK): d&]Ux
Chapter 1 /`2VJw
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: := *>:*.Kb
THEORY……………………………………………………………………………………….5 v T3LhN+ 1
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 yTbBYx9Bi
1.1.1 Layered medium electromagnetic field equations………………………………...5 P),%S9jP;
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ;2%3~L 8?V
1.1.3 The Fresnel formulas ……………………………………………………………18 0~BQ8O=+mn
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ]FQ4v.7
layered medium…………………………………………………………………..19 ;41s&~eR
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 >-+M Wu=
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 s7T=/SC54
1.2.1 Matrix calculating method ………………………………………………………22 _czLKbcF
1.2.2 Description of optical coating and presentation of calculation results…………..28 2c9@n9Vx3a
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 v
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1.2.4 Approximate formulas…………………………………………………………...33 7B+?1 E(
1.2.5 Other recurrent methods…………………………………………………………34 ( |O;Ci
1.2.6 The admittance phase plane……………………………………………………...38 ,gD30Pylz
1.3 Some common properties of multilayer coatings…………………………………….46 |oO0%#1H
1.3.1 The relation between the characteristic matrix and spectral coefficients of a $0cMrf@
multilayer coating ……………………………………………………………….47 LhV4 ^\+
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 | %6B#uy
1.3.3 Transmittance and reflectance of the combination of two multilayer |!IJ/ivEgw
subsystems ……………………………………………………………………....54 TvM{ QGN
1.4 The multilayer coatings optical properties: impact of variations in the layer w_A-:S
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parameters……………………………………………………………………………...58 lWnV{/q\ X
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… T /[)U
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Zj`eR\7~
coefficients: probability assessment method ……………………….…………...63 tk_y~-xz
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter >o'D/'>ku
variations ………………………………………………………………………...66 ) @))3
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 zIRa%%.i<
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ilFM+x @
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 {"4t`dM
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 q@Q|oB0W$)
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the y "7TO#
central wavelength ………………………………………………………………80 Fi*6ud\n!
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 <&W3\/xx
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 I0)iC[s8;
1.6.1 Common expressions for spectral coefficients of filter-type systems near central oHeo]<Fbv
wavelength ………………………………………………………………………88 hhYo9jTHW
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 | b@?]M
Chapter 2 $OjsaE %
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 EXb{/4
2.1 Synthesis methods based on merit function optimization …………………………...98 i_gS!1Z 2
2.1.1 Merit function selection …………………………………………………………98 S5bk<8aPP
2.1.2 Merit function optimization ……………………………………………………101 7g(rJGjtg
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Wy4v~]xd%
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 HJ_xg6.x
2.2.1 Needle-like variations of the refractive index ………………………………….115 |bd 5aRS9
2.2.2 The principal idea of the method ………………………………………………119 hkW"D<i i-
2.2.3 Description of the method ……………………………………………………...124 hM>xe8yE
Bibliography …...………………………………………….……………….………..……130
