Basics of OPTICS OF MULTILAYER SYSTEMS PV,Z@qm@^
kKF=%J ?X
Contents RTVU3 fw
Preface……………………………………………………………………….………..……….4 eWqS]cM#
Chapter 1 0z \KI?kd
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: TFb7P/g
THEORY……………………………………………………………………………………….5 lB _9b_|2
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 CL2zZk{u_
1.1.1 Layered medium electromagnetic field equations………………………………...5 d i_UJ~
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ~Zsj@d
1.1.3 The Fresnel formulas ……………………………………………………………18 o% +w:u.
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 8*8 Y\"
layered medium…………………………………………………………………..19 8# $HKWUK
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 fASklcQ
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 b(N+_=
n
1.2.1 Matrix calculating method ………………………………………………………22 4'D^ >z!c
1.2.2 Description of optical coating and presentation of calculation results…………..28 8-+# !]
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 H%n /;DW
1.2.4 Approximate formulas…………………………………………………………...33 0>j0 L8#^p
1.2.5 Other recurrent methods…………………………………………………………34 C4E}.``Hm
1.2.6 The admittance phase plane……………………………………………………...38 !Yo 2P"
1.3 Some common properties of multilayer coatings…………………………………….46 D A=LR
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Nb lPVxS
multilayer coating ……………………………………………………………….47 'exR;q\
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 JGq9RB]D$
1.3.3 Transmittance and reflectance of the combination of two multilayer g&/lyQ+G
subsystems ……………………………………………………………………....54 dKPXs-5
1.4 The multilayer coatings optical properties: impact of variations in the layer "d/54PKWx
parameters……………………………………………………………………………...58 1y [~xxgE
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… x!I@cP#O
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ZWyf.VJ
coefficients: probability assessment method ……………………….…………...63 o&q:b9T
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter c)Q-yPMl)
variations ………………………………………………………………………...66 W !el[@
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 (~\HizSl
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 TQt[he$O
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 >H euf"V
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 S~ckIN]
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the |C./gdq
central wavelength ………………………………………………………………80 w@P86'< v
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 -"Kjn `8
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 i|H^&$|
1.6.1 Common expressions for spectral coefficients of filter-type systems near central i`9}">7v~
wavelength ………………………………………………………………………88 ?a+J4Zr3
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 W"/,<xHuh
Chapter 2 X..M!3W
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 7K C2%s#7
2.1 Synthesis methods based on merit function optimization …………………………...98 H RahBTd(z
2.1.1 Merit function selection …………………………………………………………98 : [?7,/w
2.1.2 Merit function optimization ……………………………………………………101
_JpTHpqu
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 y1Br4K5C
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 + tkm,> s
2.2.1 Needle-like variations of the refractive index ………………………………….115 #m7evb5eg*
2.2.2 The principal idea of the method ………………………………………………119 N["M "s(N
2.2.3 Description of the method ……………………………………………………...124 j5hQ;~Fa|
Bibliography …...………………………………………….……………….………..……130
