Basics of OPTICS OF MULTILAYER SYSTEMS C#rc@r,F
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Contents .@)mxC:\K9
Preface……………………………………………………………………….………..……….4 aeyNdMk -
Chapter 1 &hHW3Q(1
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: gC%G;-gm
THEORY……………………………………………………………………………………….5 A*h{L sx;
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 + 1JH
1.1.1 Layered medium electromagnetic field equations………………………………...5 u*S=[dq
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 lLq< xf
1.1.3 The Fresnel formulas ……………………………………………………………18 ->z54 T
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ))D:8l@
layered medium…………………………………………………………………..19 i=a-<A5x
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 =rA ~7+}
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 \ b
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1.2.1 Matrix calculating method ………………………………………………………22 Bm$"WbOq*R
1.2.2 Description of optical coating and presentation of calculation results…………..28 KAA-G2%M
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 8VG!TpX/B
1.2.4 Approximate formulas…………………………………………………………...33 @tohNO>
1.2.5 Other recurrent methods…………………………………………………………34 <`X"}I3 ba
1.2.6 The admittance phase plane……………………………………………………...38 vD/NgRBww
1.3 Some common properties of multilayer coatings…………………………………….46 Kemw^48ts
1.3.1 The relation between the characteristic matrix and spectral coefficients of a WS-dS6Q}
multilayer coating ……………………………………………………………….47 E9\v A*a
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 %t=kdc0=_
1.3.3 Transmittance and reflectance of the combination of two multilayer 2=0DCF;Bv
subsystems ……………………………………………………………………....54 % )jxW{
1.4 The multilayer coatings optical properties: impact of variations in the layer ]=rht9),"
parameters……………………………………………………………………………...58 'AGto'Yy;
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ,)+ o
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral <tpmUA[]
coefficients: probability assessment method ……………………….…………...63
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ,H}_ %}10
variations ………………………………………………………………………...66 [L`ZE *z
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 !?f 5>Bl
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 C`=p + 2I]
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 j hY ToMq
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 (2ur5uk+
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 3uU]kD^
central wavelength ………………………………………………………………80 wS+V]`b
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 I
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 I4;A8I
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 3<=,1 cU
wavelength ………………………………………………………………………88 r?m+.fJ B
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 @J{m@ji{
Chapter 2 i"zuil
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 VUTacA Y>L
2.1 Synthesis methods based on merit function optimization …………………………...98 !f>d_RG
2.1.1 Merit function selection …………………………………………………………98 a8u 9aEB
2.1.2 Merit function optimization ……………………………………………………101 Rtb :nJ8
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ^
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 t$2_xX
2.2.1 Needle-like variations of the refractive index ………………………………….115 sAo&
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2.2.2 The principal idea of the method ………………………………………………119 ERwH LA
2.2.3 Description of the method ……………………………………………………...124 i
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Bibliography …...………………………………………….……………….………..……130
