Basics of OPTICS OF MULTILAYER SYSTEMS $yZ(ws
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Contents $uUJV% EX
Preface……………………………………………………………………….………..……….4 xL|4'8
Chapter 1 8 O.5ML{
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: +pjU4>)
THEORY……………………………………………………………………………………….5 ? >iZ){0,
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 {%8=q J3@
1.1.1 Layered medium electromagnetic field equations………………………………...5 VMW< ?V
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 (h27SLYm
1.1.3 The Fresnel formulas ……………………………………………………………18 k(w J6pc
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ~!ICBF~j
layered medium…………………………………………………………………..19 ^ " 4u1
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 u`wT_?%w
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 [KsVI.gn
1.2.1 Matrix calculating method ………………………………………………………22 m@y _Wt
1.2.2 Description of optical coating and presentation of calculation results…………..28 <Q?_],ip
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Iq(;?_
1.2.4 Approximate formulas…………………………………………………………...33 *Vp$#Rb
1.2.5 Other recurrent methods…………………………………………………………34 Nu6]R677Y
1.2.6 The admittance phase plane……………………………………………………...38 0zqTX< A
1.3 Some common properties of multilayer coatings…………………………………….46 -P$E)5?^
1.3.1 The relation between the characteristic matrix and spectral coefficients of a G2hBJTW
multilayer coating ……………………………………………………………….47 YL@d+
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 5h>t4 [~
1.3.3 Transmittance and reflectance of the combination of two multilayer .iH#8Z
subsystems ……………………………………………………………………....54 !@@rO--&
1.4 The multilayer coatings optical properties: impact of variations in the layer 'q*:+|"
parameters……………………………………………………………………………...58 zNQ|G1o
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...…………
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ATf {;S}
coefficients: probability assessment method ……………………….…………...63 dWhF[q"
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter x^JjoI2vf
variations ………………………………………………………………………...66 W'M\DKJ?
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 D(gpF85t
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 0%5x&vx'S
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 :@q9ll`6u
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 * !x/ia9
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 2`w\<h
central wavelength ………………………………………………………………80 oxL4* bqZ
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ! jb{q bq
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 pd
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central -~ ycr[}x
wavelength ………………………………………………………………………88 |h65[9DMP
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 m7~[f7U
Chapter 2 Is ! DiB
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 od~`q4p1(-
2.1 Synthesis methods based on merit function optimization …………………………...98 &-6 D'@
2.1.1 Merit function selection …………………………………………………………98 .j 0]hn]
2.1.2 Merit function optimization ……………………………………………………101 2\ =cv
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 3a#j&]
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 n)rF !a
2.2.1 Needle-like variations of the refractive index ………………………………….115 Y4dTv<=K@i
2.2.2 The principal idea of the method ………………………………………………119 fO{E65uA
2.2.3 Description of the method ……………………………………………………...124 A At <{
Bibliography …...………………………………………….……………….………..……130
