| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS ~Ei<Z`3}7"
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Contents <aw[ XFg
Preface……………………………………………………………………….………..……….4 #Z #-Ht
Chapter 1 #mT"gs
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Ef\ -VKh
THEORY……………………………………………………………………………………….5 V#HuIgf-
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 _`V'r#Qn
1.1.1 Layered medium electromagnetic field equations………………………………...5 U:`Kss`
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 aX VFc5C\
1.1.3 The Fresnel formulas ……………………………………………………………18 bcyzhK=
1.1.4 Other ways of determining amplitude transmittance and reflectance of the .}t
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layered medium…………………………………………………………………..19 |)&%A%m
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 gR**@t=;j
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 K9[UB
1.2.1 Matrix calculating method ………………………………………………………22 #WuBL_nZ~
1.2.2 Description of optical coating and presentation of calculation results…………..28 <%d>v-=B
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 w]H->B29C
1.2.4 Approximate formulas…………………………………………………………...33 x:;kSh
1.2.5 Other recurrent methods…………………………………………………………34 8}[).d160
1.2.6 The admittance phase plane……………………………………………………...38 X SDpRo
1.3 Some common properties of multilayer coatings…………………………………….46 _#niyW+?~
1.3.1 The relation between the characteristic matrix and spectral coefficients of a r$1Qf}J3=
multilayer coating ……………………………………………………………….47 s1rCpzK0
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 *|0 -~u%q
1.3.3 Transmittance and reflectance of the combination of two multilayer yfSmDPh
subsystems ……………………………………………………………………....54 D- c4EV
1.4 The multilayer coatings optical properties: impact of variations in the layer 2T35{Q!=F
parameters……………………………………………………………………………...58 8y L Y
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Z r8*et
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral f 2.HF@
coefficients: probability assessment method ……………………….…………...63 uD'6mk*
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter h\o.&6sd
variations ………………………………………………………………………...66 b sX[UF
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 QY/w
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 \ bcLiKE{
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 fl(wV.Je|
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 tYS06P^<
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the -~1~I
e2
central wavelength ………………………………………………………………80 w}KkvP^
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 3$ pX
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Y|n"dMrL
1.6.1 Common expressions for spectral coefficients of filter-type systems near central p'%s=TGwv
wavelength ………………………………………………………………………88 N[' .BN
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 yAt ^;
Chapter 2 3n _htgcv
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ,prf;|e?
2.1 Synthesis methods based on merit function optimization …………………………...98 A&VG~r $
2.1.1 Merit function selection …………………………………………………………98 *pq\MiD/
2.1.2 Merit function optimization ……………………………………………………101 J zl6eo[;
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 fVlB=8DNk&
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ^sw?gH*
2.2.1 Needle-like variations of the refractive index ………………………………….115 [WmM6UEVS
2.2.2 The principal idea of the method ………………………………………………119 ;+%rw 2Z,B
2.2.3 Description of the method ……………………………………………………...124 d-qUtgqV86
Bibliography …...………………………………………….……………….………..……130
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