Basics of OPTICS OF MULTILAYER SYSTEMS 8>q:Q<BB2
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Contents 4f,D3e%T|
Preface……………………………………………………………………….………..……….4 !fdni}f)
Chapter 1 c)Ft#vzg&e
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: B.fLgQK0
THEORY……………………………………………………………………………………….5 }D.?O,ue
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 5 v IuH+ 0
1.1.1 Layered medium electromagnetic field equations………………………………...5 t!^FWr&
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 =QEg~sD^)s
1.1.3 The Fresnel formulas ……………………………………………………………18 2 =tPxO')B
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Wo5G23:xz
layered medium…………………………………………………………………..19 YN 4P
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 I%xrDiK97
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 r $ue1bH}|
1.2.1 Matrix calculating method ………………………………………………………22 X70 vDoW
1.2.2 Description of optical coating and presentation of calculation results…………..28 : 4$Ex2
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 S8j;oJ2 d
1.2.4 Approximate formulas…………………………………………………………...33 &B3Eq 1A
1.2.5 Other recurrent methods…………………………………………………………34 ><iE VrpN
1.2.6 The admittance phase plane……………………………………………………...38 X?$Eb
1.3 Some common properties of multilayer coatings…………………………………….46 }|f\'S
1.3.1 The relation between the characteristic matrix and spectral coefficients of a xD#PM |I
multilayer coating ……………………………………………………………….47 ]!H*oP8a*
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 Jl3l\I'
1.3.3 Transmittance and reflectance of the combination of two multilayer KmV#%
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subsystems ……………………………………………………………………....54 9,5v %HZ
1.4 The multilayer coatings optical properties: impact of variations in the layer +AyQ4Q(-o
parameters……………………………………………………………………………...58 { np KdX
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… P,AS`=z
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral pfg" 6P
coefficients: probability assessment method ……………………….…………...63 ,G1|]
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter aq"E@fb
variations ………………………………………………………………………...66 :Yj Ov
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 4,f[D9|:
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 )Y~q6D K
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 7d/ wT+f
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 P&| =
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the G/(oQA
central wavelength ………………………………………………………………80 Ed #%F-1sX
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 M 4M
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 `{I,!t o
1.6.1 Common expressions for spectral coefficients of filter-type systems near central H_;Dq*
wavelength ………………………………………………………………………88 F ']Vg31c
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 Ndi'b_Sh\
Chapter 2 fh$U "
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 F~a5yW:R=)
2.1 Synthesis methods based on merit function optimization …………………………...98 b7v] g]*
2.1.1 Merit function selection …………………………………………………………98 =YA%=
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2.1.2 Merit function optimization ……………………………………………………101 A4';((OXy
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 u !g=>zEu
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 8q7KqYu
2.2.1 Needle-like variations of the refractive index ………………………………….115 c%pW'UE&
2.2.2 The principal idea of the method ………………………………………………119 } 3:TPW5S
2.2.3 Description of the method ……………………………………………………...124 eJ{"\c(
Bibliography …...………………………………………….……………….………..……130
