Basics of OPTICS OF MULTILAYER SYSTEMS P& @ 2DI3m
&o%IKB@
Contents d#xi_L!
Preface……………………………………………………………………….………..……….4 5V5Nx(31i
Chapter 1 aqJ>l }{
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Mhp6,JL
THEORY……………………………………………………………………………………….5 -X BD WV
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 =$xxkc.~G
1.1.1 Layered medium electromagnetic field equations………………………………...5 W:
R2e2
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Ox9WH4E
1.1.3 The Fresnel formulas ……………………………………………………………18 f|Dq#(^\
1.1.4 Other ways of determining amplitude transmittance and reflectance of the u} Kc>/AF
layered medium…………………………………………………………………..19 Hj\>&vMf
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 t M?3oO
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 : 'p+Ql~c
1.2.1 Matrix calculating method ………………………………………………………22 Mtxn@m{i;"
1.2.2 Description of optical coating and presentation of calculation results…………..28 *%'nlAX6%
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 6?8x[l*5M
1.2.4 Approximate formulas…………………………………………………………...33 n1n->l*HGP
1.2.5 Other recurrent methods…………………………………………………………34 |:)UNb?R"O
1.2.6 The admittance phase plane……………………………………………………...38 Cn+'!?!d,
1.3 Some common properties of multilayer coatings…………………………………….46 0
~K4 v Sa
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 7HfA{.|m
multilayer coating ……………………………………………………………….47 K@d, 8 [
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ,xmL[Yk,
1.3.3 Transmittance and reflectance of the combination of two multilayer (Klvctoy
subsystems ……………………………………………………………………....54 d0ZbusHHb
1.4 The multilayer coatings optical properties: impact of variations in the layer S 2vjjS
parameters……………………………………………………………………………...58 bz $)@gLc
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Y6<"_
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ))Q3;mI"
coefficients: probability assessment method ……………………….…………...63 3 >O=d>
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter .$&_fUY
variations ………………………………………………………………………...66 a(cZ]`s]*
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 !| ObNS
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 -hv<8bC~4
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Ib V 7}
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 '1rHvz`B/"
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the W<']Q_ s u
central wavelength ………………………………………………………………80 y?Vsp<
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 P:Nj;Cxh
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 U42B( ow
1.6.1 Common expressions for spectral coefficients of filter-type systems near central %#gHa
wavelength ………………………………………………………………………88 En&`m
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 d^-sxl3}
Chapter 2 Owt|vce T
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 #\DKU@|h
2.1 Synthesis methods based on merit function optimization …………………………...98 v fnVN@ 5
2.1.1 Merit function selection …………………………………………………………98 FH Hi/yh
2.1.2 Merit function optimization ……………………………………………………101 BBkYc:B=SA
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 #21t8
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 #0*O kZMt
2.2.1 Needle-like variations of the refractive index ………………………………….115 (>.+tq}
2.2.2 The principal idea of the method ………………………………………………119 JY6&CL`C
2.2.3 Description of the method ……………………………………………………...124 *.g@6IkAQ
Bibliography …...………………………………………….……………….………..……130
