Basics of OPTICS OF MULTILAYER SYSTEMS WZ ~rsSZSV
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Contents tM ]qR+
Preface……………………………………………………………………….………..……….4 ='OPU5(;O
Chapter 1 i)8,u
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ZZFa<AK4
THEORY……………………………………………………………………………………….5 cy/;qd+!M
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 `<Zp!Hl(j
1.1.1 Layered medium electromagnetic field equations………………………………...5 Ge[N5N>
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 m]Z&
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1.1.3 The Fresnel formulas ……………………………………………………………18 P* R`3Y,
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 0$/wH #f
layered medium…………………………………………………………………..19 W)w@ju$Ko
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 @;d(>_n
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 a{69JY5
1.2.1 Matrix calculating method ………………………………………………………22 i~.L{K
1.2.2 Description of optical coating and presentation of calculation results…………..28 i>q]U:U
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Kv!CL9^LX7
1.2.4 Approximate formulas…………………………………………………………...33 + lU:I
1.2.5 Other recurrent methods…………………………………………………………34 %,-vmqr
1.2.6 The admittance phase plane……………………………………………………...38 V w HTtZ
1.3 Some common properties of multilayer coatings…………………………………….46 xC!, v 0&
1.3.1 The relation between the characteristic matrix and spectral coefficients of a e/F=5_Io
multilayer coating ……………………………………………………………….47 e [3sWv
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 hU+sg~E
1.3.3 Transmittance and reflectance of the combination of two multilayer #ra:^9;Es:
subsystems ……………………………………………………………………....54 srJ,Jr(
1.4 The multilayer coatings optical properties: impact of variations in the layer *V3 }L
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parameters……………………………………………………………………………...58 N ~g 'Z
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ;&^S-+
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral +;pdG[N
coefficients: probability assessment method ……………………….…………...63 }O5c.3
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter x>;! `} x
variations ………………………………………………………………………...66 |z Gwt Z
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Nx;U]O6A
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 xhj
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 6#KRI%adw`
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 -GDX#A-J
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the I %b,
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central wavelength ………………………………………………………………80 #: w/vk
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 GmPNzHDb
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 5A Vo#}&\
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 9] Uvy|
wavelength ………………………………………………………………………88 w,;CrW T2t
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 * pyi;
Chapter 2 ) #9 /vIQ
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 mz3!HksZ "
2.1 Synthesis methods based on merit function optimization …………………………...98 S3`zB?7,
2.1.1 Merit function selection …………………………………………………………98 G?8LYg!-
2.1.2 Merit function optimization ……………………………………………………101 'h.{fKG]ME
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 {(Drw~/@
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 | ?~-k[|
2.2.1 Needle-like variations of the refractive index ………………………………….115 /
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2.2.2 The principal idea of the method ………………………………………………119 k2" Z:\?z
2.2.3 Description of the method ……………………………………………………...124 aYkm]w;C
Bibliography …...………………………………………….……………….………..……130
