Basics of OPTICS OF MULTILAYER SYSTEMS B.Xm*adBT
`M7 ){
Contents w-\fCp )
Preface……………………………………………………………………….………..……….4 -\NB*|9m|
Chapter 1 dk(- yv'
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: U_VD* F4Bv
THEORY……………………………………………………………………………………….5 ww\/ $ |
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 #=O0-si ]P
1.1.1 Layered medium electromagnetic field equations………………………………...5 |LNXu
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 m
1.1.3 The Fresnel formulas ……………………………………………………………18 ~{5%~8h.0r
1.1.4 Other ways of determining amplitude transmittance and reflectance of the /`s^.Xh
layered medium…………………………………………………………………..19 Oi7=z?+j
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 W _DO8n X
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 U;jk+i
1.2.1 Matrix calculating method ………………………………………………………22 %pw m34
1.2.2 Description of optical coating and presentation of calculation results…………..28 j|[s?YJl
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 "lz!'~im
1.2.4 Approximate formulas…………………………………………………………...33 W6_3f-4g
1.2.5 Other recurrent methods…………………………………………………………34 Hb]7>[L
1.2.6 The admittance phase plane……………………………………………………...38 n[iil$VKh
1.3 Some common properties of multilayer coatings…………………………………….46 Q|v=W C6
1.3.1 The relation between the characteristic matrix and spectral coefficients of a C*78ZwZ
multilayer coating ……………………………………………………………….47 yRgo1o w]
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 Gf%o|kX]
1.3.3 Transmittance and reflectance of the combination of two multilayer sztnRX_
subsystems ……………………………………………………………………....54
JI*ikco-
1.4 The multilayer coatings optical properties: impact of variations in the layer S`6'~g
parameters……………………………………………………………………………...58 "QlCcH`g
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… /kJ*WA?J
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral \`XJz{Lm]
coefficients: probability assessment method ……………………….…………...63 /60[T@Mz
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter =x^I 5Pn
variations ………………………………………………………………………...66 !t_,x=
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 O]PfQ
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 n!N;WL3k
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 UfkRY<H
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 jO uv\$
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ivagS\Q
central wavelength ………………………………………………………………80 @O3w4Zs
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 pDKJLa
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 E"" /dC:B
1.6.1 Common expressions for spectral coefficients of filter-type systems near central #m M&CscE
wavelength ………………………………………………………………………88 _*;cwMne-
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 We4 FR4`
Chapter 2 q%y_<Fw#E
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 TY#1Z )%
2.1 Synthesis methods based on merit function optimization …………………………...98 9M!_D?+ P?
2.1.1 Merit function selection …………………………………………………………98 Xt7'clr
2.1.2 Merit function optimization ……………………………………………………101 t xgGL'
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 qB=pp!zQ
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 g9
yCd(2<5
2.2.1 Needle-like variations of the refractive index ………………………………….115 lZua" Ju
2.2.2 The principal idea of the method ………………………………………………119 cj8r-Vu/N
2.2.3 Description of the method ……………………………………………………...124 hZ#tB
Bibliography …...………………………………………….……………….………..……130
