Basics of OPTICS OF MULTILAYER SYSTEMS rKq]zHgpo
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Contents ('oUcDOFTS
Preface……………………………………………………………………….………..……….4 )I9(WV x!]
Chapter 1 ^)I:82"|?
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 4v$AM8/o
THEORY……………………………………………………………………………………….5 ~ VKXL,.
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 omu &:)
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1.1.1 Layered medium electromagnetic field equations………………………………...5 BO|Jrr>
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 } U .B$4Q
1.1.3 The Fresnel formulas ……………………………………………………………18 >i<-rO>kN
1.1.4 Other ways of determining amplitude transmittance and reflectance of the l{g( z !
layered medium…………………………………………………………………..19 #U6qM(J
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 [5-5tipvWp
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 }+1 o D{
1.2.1 Matrix calculating method ………………………………………………………22 &kBs'P8>
1.2.2 Description of optical coating and presentation of calculation results…………..28 TMBdneS-s
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 $Tza <nA
1.2.4 Approximate formulas…………………………………………………………...33 bHM
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1.2.5 Other recurrent methods…………………………………………………………34 .S;/v--F
1.2.6 The admittance phase plane……………………………………………………...38 h'+ s wPh
1.3 Some common properties of multilayer coatings…………………………………….46 xOlkG*3c
1.3.1 The relation between the characteristic matrix and spectral coefficients of a CXA8V"@&b/
multilayer coating ……………………………………………………………….47 0XNb @ogo
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 :z7!X.*
1.3.3 Transmittance and reflectance of the combination of two multilayer 71I nYIed
subsystems ……………………………………………………………………....54 WDq3K/7\
1.4 The multilayer coatings optical properties: impact of variations in the layer > %,tyJ~
parameters……………………………………………………………………………...58 L`v,:#Y
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… T rW3@@}j
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral xh$[E&2u
coefficients: probability assessment method ……………………….…………...63 @ Ia ~9yOY
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter U@WT;:.T
variations ………………………………………………………………………...66 ^8)d8?}
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 eNX-2S
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Nx__zC^r
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 8*X8U:.0o
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 T7`Jtqf
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the iuEdm :pW
central wavelength ………………………………………………………………80 {H74`-C)W
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 Fg xQ}VvlH
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 : %gBcL9T
1.6.1 Common expressions for spectral coefficients of filter-type systems near central -|5&3HVz
wavelength ………………………………………………………………………88 x,+zw9
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 "rtmDNpL
Chapter 2 ~JJv 2
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 B4C`3@a
2.1 Synthesis methods based on merit function optimization …………………………...98 42M3c& @P
2.1.1 Merit function selection …………………………………………………………98 ;_!;D#:
2.1.2 Merit function optimization ……………………………………………………101 'Tn$lh
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Jx]`!dP3
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 }PVB+i M
2.2.1 Needle-like variations of the refractive index ………………………………….115 6*E 7}
2.2.2 The principal idea of the method ………………………………………………119 (DU{o\=
2.2.3 Description of the method ……………………………………………………...124 o fJ@\x S
Bibliography …...………………………………………….……………….………..……130
