Basics of OPTICS OF MULTILAYER SYSTEMS v675C# l(
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Contents _K^Q]V[nZ
Preface……………………………………………………………………….………..……….4 #-0e0
Chapter 1 VdlT+'HF
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: kxMvOB$
THEORY……………………………………………………………………………………….5
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 @J[@Pu O
1.1.1 Layered medium electromagnetic field equations………………………………...5 U#jz5 <r
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 \^!;r 9z=A
1.1.3 The Fresnel formulas ……………………………………………………………18 lPy|>&Yc
1.1.4 Other ways of determining amplitude transmittance and reflectance of the H; /do-W[
layered medium…………………………………………………………………..19 +A|
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 mUBy*.
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Er;/ zxg9p
1.2.1 Matrix calculating method ………………………………………………………22 Vrt$/ d
1.2.2 Description of optical coating and presentation of calculation results…………..28 e"E 8BU
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 )?F &`+
1.2.4 Approximate formulas…………………………………………………………...33 !eW1d0n'+f
1.2.5 Other recurrent methods…………………………………………………………34 dli(ckr
1.2.6 The admittance phase plane……………………………………………………...38 ?I}RX~Tgg
1.3 Some common properties of multilayer coatings…………………………………….46 m2PUU/8B/
1.3.1 The relation between the characteristic matrix and spectral coefficients of a >y3FU1w5d
multilayer coating ……………………………………………………………….47 ${f< }
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 m'rDoly"62
1.3.3 Transmittance and reflectance of the combination of two multilayer S!(3- {nC
subsystems ……………………………………………………………………....54 TSB2]uH
1.4 The multilayer coatings optical properties: impact of variations in the layer &jE\D^>ko
parameters……………………………………………………………………………...58 )~
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Q:-T' xk@
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 586P~C[ic
coefficients: probability assessment method ……………………….…………...63 Qg4D*r\|@
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter .shi?aWm
variations ………………………………………………………………………...66 GG%b "d-
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 J"`VA_[
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 z`{sD]
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ={g)[:(C.
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 4^F[G p?
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the UB$}`39@
central wavelength ………………………………………………………………80 ,lZ19B?WP
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 Z-iU7 O
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 PLCm\Oh$l
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 5vx 4F f
wavelength ………………………………………………………………………88 I,-n[k\J
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 6jq*lnA%
Chapter 2 >?$2`I
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ;_<~ 9;
2.1 Synthesis methods based on merit function optimization …………………………...98 )|~K&qn`
2.1.1 Merit function selection …………………………………………………………98 \5ls
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2.1.2 Merit function optimization ……………………………………………………101 )+_Vx}O:}
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 1&w %TRC2x
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 7^eyO&4z
2.2.1 Needle-like variations of the refractive index ………………………………….115 U G2+Y' ]
2.2.2 The principal idea of the method ………………………………………………119 $qNF /r F
2.2.3 Description of the method ……………………………………………………...124 %2QGbnt_*
Bibliography …...………………………………………….……………….………..……130
