Basics of OPTICS OF MULTILAYER SYSTEMS D[yyFo,z
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Contents ?z1v_ Jh
Preface……………………………………………………………………….………..……….4 M OD&3>NI
Chapter 1 LH4A!a]
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: n- 2X?<_Z
THEORY……………………………………………………………………………………….5 elR'e6Q
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 _4N.]jr5
1.1.1 Layered medium electromagnetic field equations………………………………...5 bKpy?5&>
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ~`AB-0t.u
1.1.3 The Fresnel formulas ……………………………………………………………18 P{9:XSa%
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 4Et(3[P71
layered medium…………………………………………………………………..19 V8/d27\
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 w!"L\QT
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ` 0NU
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1.2.1 Matrix calculating method ………………………………………………………22 ~^obf(N`
1.2.2 Description of optical coating and presentation of calculation results…………..28 _<c"/B
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Jb"FY:/Qv+
1.2.4 Approximate formulas…………………………………………………………...33 =R=V
1.2.5 Other recurrent methods…………………………………………………………34 x/O;8 ^b
1.2.6 The admittance phase plane……………………………………………………...38 |E >h*Y
1.3 Some common properties of multilayer coatings…………………………………….46 K} CgFBk
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 6X@z(EEL
multilayer coating ……………………………………………………………….47 hH`x*:Qja
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 Be|! S_Y P
1.3.3 Transmittance and reflectance of the combination of two multilayer zgGysjV
subsystems ……………………………………………………………………....54 r)|~Rs!y,
1.4 The multilayer coatings optical properties: impact of variations in the layer I:jIChT
parameters……………………………………………………………………………...58 c6[m'cy
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… XN<!.RCw
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral b23A& 1X
coefficients: probability assessment method ……………………….…………...63 NAD^10
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter BsFO]F5mmX
variations ………………………………………………………………………...66 dCoP
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ?1ey$SSU]
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 uJ2ZHrJ
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 \$_02:#
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ^# $IoW
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 1x_EAHZ>7
central wavelength ………………………………………………………………80 [^
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 \s#~ %l
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ] S%_&ZMCM
1.6.1 Common expressions for spectral coefficients of filter-type systems near central iAH,f5T
wavelength ………………………………………………………………………88 9W=(D|,,
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 &MpLm&
Chapter 2 |X=p`iz1&
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97
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2.1 Synthesis methods based on merit function optimization …………………………...98 9^!.!%6O$
2.1.1 Merit function selection …………………………………………………………98 'aEK{#en
2.1.2 Merit function optimization ……………………………………………………101 f$>_>E
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 X}Q4;='C-
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 8~(,qU8- N
2.2.1 Needle-like variations of the refractive index ………………………………….115 }p?,J8=-
2.2.2 The principal idea of the method ………………………………………………119 M1eh4IVE?
2.2.3 Description of the method ……………………………………………………...124 ) ' xyK
Bibliography …...………………………………………….……………….………..……130
