Basics of OPTICS OF MULTILAYER SYSTEMS a,*|*Cv
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Contents ~ln96*)M;
Preface……………………………………………………………………….………..……….4 QfU{W@ !h
Chapter 1 6CWm;%B#G
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: r<kqs,-~
THEORY……………………………………………………………………………………….5 }cy<$=c#E_
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 %Zu+=I Z
1.1.1 Layered medium electromagnetic field equations………………………………...5 ~{yQsEU
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 .TRp74
1.1.3 The Fresnel formulas ……………………………………………………………18 iJ`v 3PP
1.1.4 Other ways of determining amplitude transmittance and reflectance of the =G/`r!r*0I
layered medium…………………………………………………………………..19 /u'M7R
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ~c
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 *3Ci4\Ew
1.2.1 Matrix calculating method ………………………………………………………22 . sPa${
1.2.2 Description of optical coating and presentation of calculation results…………..28 Je~Ybh
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 +Xr87x;
1.2.4 Approximate formulas…………………………………………………………...33 K06&.>v_
1.2.5 Other recurrent methods…………………………………………………………34 bU"2D.k
1.2.6 The admittance phase plane……………………………………………………...38 Rwz (20n\^
1.3 Some common properties of multilayer coatings…………………………………….46 u Qg&A`4
1.3.1 The relation between the characteristic matrix and spectral coefficients of a yy3-Xu4
multilayer coating ……………………………………………………………….47 O>L
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ulnlRx
1.3.3 Transmittance and reflectance of the combination of two multilayer wd~!j&`a
subsystems ……………………………………………………………………....54 :E9 @9>3S
1.4 The multilayer coatings optical properties: impact of variations in the layer RV+0C&0ff
parameters……………………………………………………………………………...58 [mI;>q
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… {f)"F;]V
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Y]t)k9|vv
coefficients: probability assessment method ……………………….…………...63 'd
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter )h?Pz1-W1
variations ………………………………………………………………………...66
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 A 4|a{\|$
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 mo3HUXf}8
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 _"%-=^_
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 vwQ6=
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the d_} q.%*
central wavelength ………………………………………………………………80 yY42+%P
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 wi/dR}*A
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Vnq&lz%QqC
1.6.1 Common expressions for spectral coefficients of filter-type systems near central |\~!o N
wavelength ………………………………………………………………………88 2f$6}m'Ad
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 G+xdh
Chapter 2 o}K!p %5_
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 [6Gb@jG
2.1 Synthesis methods based on merit function optimization …………………………...98 U#!f^@&AB
2.1.1 Merit function selection …………………………………………………………98 ,] ,dOIOwn
2.1.2 Merit function optimization ……………………………………………………101 #!X4\+)
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 $>fMu
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 :Vf :_;
2.2.1 Needle-like variations of the refractive index ………………………………….115 \.<V ~d?
2.2.2 The principal idea of the method ………………………………………………119 H #;-(`F
2.2.3 Description of the method ……………………………………………………...124 AlRng& o~
Bibliography …...………………………………………….……………….………..……130
