Basics of OPTICS OF MULTILAYER SYSTEMS 8>
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Contents f'*HP%+Y
Preface……………………………………………………………………….………..……….4 >pz/wTOi
Chapter 1 ;sb0,2YyP
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: lkBab$ S)
THEORY……………………………………………………………………………………….5 I C 7n;n9
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 6]na#<
1.1.1 Layered medium electromagnetic field equations………………………………...5 h1J-AfV
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12
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1.1.3 The Fresnel formulas ……………………………………………………………18 |(Io(e
1.1.4 Other ways of determining amplitude transmittance and reflectance of the _/7[=e}y
layered medium…………………………………………………………………..19 w Xfy,W
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 iQS?LksQX
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 RQv`D&u_
1.2.1 Matrix calculating method ………………………………………………………22 to+j Q9q8
1.2.2 Description of optical coating and presentation of calculation results…………..28 7 -bU9{5
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 P6;L\9=H<
1.2.4 Approximate formulas…………………………………………………………...33 wN"irXG
1.2.5 Other recurrent methods…………………………………………………………34 O]i}r`E8,
1.2.6 The admittance phase plane……………………………………………………...38 (eG#JVsm9
1.3 Some common properties of multilayer coatings…………………………………….46 5h1FvJg
1.3.1 The relation between the characteristic matrix and spectral coefficients of a {U7j
multilayer coating ……………………………………………………………….47 IB(5 &u.
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 a!4'}gHR
1.3.3 Transmittance and reflectance of the combination of two multilayer ;\( wJ{u?Y
subsystems ……………………………………………………………………....54 -,3Ka:
1.4 The multilayer coatings optical properties: impact of variations in the layer H|==i2 V{
parameters……………………………………………………………………………...58 n (-XI&Kn
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...…………
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral mbSJ}3c"
coefficients: probability assessment method ……………………….…………...63 CQ6Z[hLWF
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter O" n /.`
variations ………………………………………………………………………...66 5=5~GX-kr
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ]@>bz
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Mv JEX8M
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 @I #@%"AW
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 EVrOu""
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the |Ax~zk;
central wavelength ………………………………………………………………80 T<?JL.8 g_
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 !dStl:B
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 $UgM7V$
1.6.1 Common expressions for spectral coefficients of filter-type systems near central WZ;f3
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wavelength ………………………………………………………………………88 Jc:*X4-'
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 VI[ikNpX
Chapter 2 ?,TON5Fl-
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 Yc+ /="&z
2.1 Synthesis methods based on merit function optimization …………………………...98 _D[vMr[
2.1.1 Merit function selection …………………………………………………………98 / IAK'/
2.1.2 Merit function optimization ……………………………………………………101 eB^:+h#A_
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 =A GsW
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Z Oyq{w!2
2.2.1 Needle-like variations of the refractive index ………………………………….115 m?>$!B4jFB
2.2.2 The principal idea of the method ………………………………………………119 Ga"$_DyM
2.2.3 Description of the method ……………………………………………………...124 Of SYOL7o
Bibliography …...………………………………………….……………….………..……130
