Basics of OPTICS OF MULTILAYER SYSTEMS u(`,7 o "
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Contents /EpsJb`kj
Preface……………………………………………………………………….………..……….4 AX= 4{b'
Chapter 1 `vijd(a?v
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: w[V71Iej
THEORY……………………………………………………………………………………….5 TnvX&Y'
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ZTwCFn
1.1.1 Layered medium electromagnetic field equations………………………………...5 %+y92'GqG/
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ?H.7
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1.1.3 The Fresnel formulas ……………………………………………………………18 &74*CO9B9
1.1.4 Other ways of determining amplitude transmittance and reflectance of the uWSfr(loX
layered medium…………………………………………………………………..19 F/qx2E$*wo
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 0R0j7\{
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 6*:mc
1.2.1 Matrix calculating method ………………………………………………………22 <hO|:LX
1.2.2 Description of optical coating and presentation of calculation results…………..28 dGr m1w
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Fojs I<
1.2.4 Approximate formulas…………………………………………………………...33 \D]H>i$
1.2.5 Other recurrent methods…………………………………………………………34 '#fwNbD
1.2.6 The admittance phase plane……………………………………………………...38 ~/B[;#
1.3 Some common properties of multilayer coatings…………………………………….46 pxs#OP
1.3.1 The relation between the characteristic matrix and spectral coefficients of a w53+k\.
multilayer coating ……………………………………………………………….47 +$YluG EJ
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 3]X~bQAw
1.3.3 Transmittance and reflectance of the combination of two multilayer :&/b}b!)AX
subsystems ……………………………………………………………………....54 %z_PEqRj
1.4 The multilayer coatings optical properties: impact of variations in the layer h xCt[G@
parameters……………………………………………………………………………...58 } Z~& X L=
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… _qPd)V6yb
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral )ww#dJn
coefficients: probability assessment method ……………………….…………...63 *k] izWsV*
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Y`x54_3 2
variations ………………………………………………………………………...66 @AgV 7#
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 MMI7FlfY
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 X R =^zp?
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 UUlrfur~
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Q0}Sju+HX
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the B tZycI
central wavelength ………………………………………………………………80 2[Ja|W\If
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 d`_X$P 4y
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ^_ cR
1.6.1 Common expressions for spectral coefficients of filter-type systems near central Xiyh3/%yy
wavelength ………………………………………………………………………88 -<'&"-
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 \.R+|`{tf
Chapter 2 Y-.pslg
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 nEZ o F
2.1 Synthesis methods based on merit function optimization …………………………...98 (oYM}#Q
2.1.1 Merit function selection …………………………………………………………98 1i.t^PY
2.1.2 Merit function optimization ……………………………………………………101 jtMN )TM
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 6 n
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 7%-+7O 3ud
2.2.1 Needle-like variations of the refractive index ………………………………….115 <Q4yN!6
2.2.2 The principal idea of the method ………………………………………………119 q x1}e
2.2.3 Description of the method ……………………………………………………...124 `xO9xo#
Bibliography …...………………………………………….……………….………..……130
