| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS }N=zn7 W
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Contents Lw78v@dY
Preface……………………………………………………………………….………..……….4 tLGwF3e$A
Chapter 1 PfMOc+ q
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: I5 7< 0
THEORY……………………………………………………………………………………….5 $2T ty 7
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 oI"Fpo
1.1.1 Layered medium electromagnetic field equations………………………………...5 @ F"ShT0
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 5EZr"[8M
1.1.3 The Fresnel formulas ……………………………………………………………18 X\:(8C;+
1.1.4 Other ways of determining amplitude transmittance and reflectance of the "Kf~`0P
layered medium…………………………………………………………………..19 -)c"cgx.
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 TEy.zzt
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 m_W.r+s~C4
1.2.1 Matrix calculating method ………………………………………………………22 "Vhrs VT
1.2.2 Description of optical coating and presentation of calculation results…………..28 eh#
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1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 [ Sa
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1.2.4 Approximate formulas…………………………………………………………...33 .ceU @^
1.2.5 Other recurrent methods…………………………………………………………34 P=hf/jOv9
1.2.6 The admittance phase plane……………………………………………………...38 v8M#%QoA
1.3 Some common properties of multilayer coatings…………………………………….46 s~'C 'B?
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Wam?(!{mOf
multilayer coating ……………………………………………………………….47 \^Q)`Lqp:g
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 R -0Ohj
1.3.3 Transmittance and reflectance of the combination of two multilayer 1T^L) %&p_
subsystems ……………………………………………………………………....54 ]t 0S_ UH$
1.4 The multilayer coatings optical properties: impact of variations in the layer nqW:P$
parameters……………………………………………………………………………...58 9O_N
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 8 ?R_O}U
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral !!pi\J?sk
coefficients: probability assessment method ……………………….…………...63 tUnVdh6L.B
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter qOanu
variations ………………………………………………………………………...66 Z0@ImhejuB
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 =1?y S3
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ZOsn,nF
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 xL"o)]a=
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 'Z9F0l"Nr
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the g0$k_
central wavelength ………………………………………………………………80 Um| Tf]q
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 X Y?@^
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Rb*\A7o|;
1.6.1 Common expressions for spectral coefficients of filter-type systems near central p- Btbhv
wavelength ………………………………………………………………………88 }e @-[RJ!
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 m^+ ~pC 5
Chapter 2 ' qVa/GJ
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 xo+z[OIlF
2.1 Synthesis methods based on merit function optimization …………………………...98 p$ <qT^]&
2.1.1 Merit function selection …………………………………………………………98 u'."E7o#
2.1.2 Merit function optimization ……………………………………………………101 h!]A(T\J
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 )UUe5H6Hd0
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 '& :"/4@)
2.2.1 Needle-like variations of the refractive index ………………………………….115 DVH><3 FF
2.2.2 The principal idea of the method ………………………………………………119 8m 0sEV>
2.2.3 Description of the method ……………………………………………………...124 lY`<-`{I_
Bibliography …...………………………………………….……………….………..……130
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