Basics of OPTICS OF MULTILAYER SYSTEMS ~1aM5Ba{
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Contents w+Gav4
Preface……………………………………………………………………….………..……….4 ?o`:V|<v
Chapter 1 xj9xUun
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: R<vbhB/l U
THEORY……………………………………………………………………………………….5 )TyP{X>
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Lxv6\3I+
1.1.1 Layered medium electromagnetic field equations………………………………...5 _k;HhLj`
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 17`-eDd
1.1.3 The Fresnel formulas ……………………………………………………………18 =GW[UnO
1.1.4 Other ways of determining amplitude transmittance and reflectance of the sl"H!cwF
layered medium…………………………………………………………………..19 u?rX:KkS
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 d (:I~ m
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 `
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1.2.1 Matrix calculating method ………………………………………………………22 F\v~ 2/J5v
1.2.2 Description of optical coating and presentation of calculation results…………..28 eKLE^`2*@
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 gX$gUB) x
1.2.4 Approximate formulas…………………………………………………………...33 aL&9.L|1 g
1.2.5 Other recurrent methods…………………………………………………………34 4#.Q|vyl]"
1.2.6 The admittance phase plane……………………………………………………...38 ]vPdj"7
1.3 Some common properties of multilayer coatings…………………………………….46 g_! xD;0
1.3.1 The relation between the characteristic matrix and spectral coefficients of a mxu !$wx
multilayer coating ……………………………………………………………….47 ic4hO>p&
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 zD<8. AIGC
1.3.3 Transmittance and reflectance of the combination of two multilayer ];5Auh 0o
subsystems ……………………………………………………………………....54 r:Q=6j,
1.4 The multilayer coatings optical properties: impact of variations in the layer V#+F*w?&D
parameters……………………………………………………………………………...58 (i?9/8I
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… "!fwIE G
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 8H T3C\$s
coefficients: probability assessment method ……………………….…………...63 A_e5Vb ,u.
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter aT+w6{%Z
variations ………………………………………………………………………...66 D #7q3s
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 _
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 86 !$<!I
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ]=]MJ3_7
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Z6Z/Y()4Tl
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 9qB4\ONXZ
central wavelength ………………………………………………………………80 ?GtI.flV
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 }f% Qk0^
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central e
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wavelength ………………………………………………………………………88 e. #,9
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 QC&,C}t,
Chapter 2 cM4{ e^
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 }n#$p{e$i
2.1 Synthesis methods based on merit function optimization …………………………...98 YfMs~}h,
2.1.1 Merit function selection …………………………………………………………98 U!K#g_}
2.1.2 Merit function optimization ……………………………………………………101 z]LVq k
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 e p Dp*
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Q`Q"p
2.2.1 Needle-like variations of the refractive index ………………………………….115 TZ3gJ6 Cb
2.2.2 The principal idea of the method ………………………………………………119 VR A+p?7-
2.2.3 Description of the method ……………………………………………………...124 <^'IC9D]
Bibliography …...………………………………………….……………….………..……130
