Basics of OPTICS OF MULTILAYER SYSTEMS 'X< u G
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Contents eW,Pn'
Preface……………………………………………………………………….………..……….4 XQ; d ew+
Chapter 1 bl-s0Ax-
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: }"H900WE|
THEORY……………………………………………………………………………………….5 mLA$ F4/K
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Bd[Gsns
1.1.1 Layered medium electromagnetic field equations………………………………...5 --)[>6)I
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ITUl -L4xE
1.1.3 The Fresnel formulas ……………………………………………………………18 K L~sEli
1.1.4 Other ways of determining amplitude transmittance and reflectance of the boovCW
layered medium…………………………………………………………………..19 dL)5~V8s
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 sH: &OaA
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ox#4|<qM
1.2.1 Matrix calculating method ………………………………………………………22 y-k-E/V}
1.2.2 Description of optical coating and presentation of calculation results…………..28 CZ}tQx5 ga
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 \ vQ (
1.2.4 Approximate formulas…………………………………………………………...33 YO+d+5
1.2.5 Other recurrent methods…………………………………………………………34 75i)$}_1B
1.2.6 The admittance phase plane……………………………………………………...38 0X w?}
1.3 Some common properties of multilayer coatings…………………………………….46 S/jHyJ,
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 8+F2
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multilayer coating ……………………………………………………………….47 v}@ 6"\
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 t[~i})yS
1.3.3 Transmittance and reflectance of the combination of two multilayer "H@AT$Ny(
subsystems ……………………………………………………………………....54 r$zXb9a|<
1.4 The multilayer coatings optical properties: impact of variations in the layer K)ib{V( 50
parameters……………………………………………………………………………...58 `0N/
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… v<4zcMv
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral }e)ltp|
coefficients: probability assessment method ……………………….…………...63 4e sf&-gG
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 0c) 19Ig
variations ………………………………………………………………………...66 =6:Iv"<
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 $MHc4FE[
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 :+n7oOV
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ^+&}:9Ml
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 hQO~9mQ+!
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Lm/^ 8V+
central wavelength ………………………………………………………………80 N]~q@x;<)3
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 URwFN OM2
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 r&w>+KIt
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 5k @ k
wavelength ………………………………………………………………………88 4e4$AB "
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 F6 Ixu_s
Chapter 2 $xqphhBg
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 SU^/qF%8
2.1 Synthesis methods based on merit function optimization …………………………...98 hH~Z hB
2.1.1 Merit function selection …………………………………………………………98 ^H>vJT
2.1.2 Merit function optimization ……………………………………………………101 #~ Q0s)Ze
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 RV~w+%f
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 wTLHg2'y^
2.2.1 Needle-like variations of the refractive index ………………………………….115 'RhMzPmY>
2.2.2 The principal idea of the method ………………………………………………119 &Jj ?C
2.2.3 Description of the method ……………………………………………………...124 $W)FpN;CW/
Bibliography …...………………………………………….……………….………..……130
