Basics of OPTICS OF MULTILAYER SYSTEMS }fpya2Xt
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Contents L\yVE
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Preface……………………………………………………………………….………..……….4 xVvUx,t
Chapter 1 'Pz%c}hJ
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: -@uFRQ t
THEORY……………………………………………………………………………………….5 v1h(_NLI!
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 yu?5t?vf
1.1.1 Layered medium electromagnetic field equations………………………………...5 B(
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 &}ZmT>q`$
1.1.3 The Fresnel formulas ……………………………………………………………18 IS C.~q2
1.1.4 Other ways of determining amplitude transmittance and reflectance of the f49kf**
layered medium…………………………………………………………………..19 T}~TW26v
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ~{c ?-qb
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 VFT@Ic#]
1.2.1 Matrix calculating method ………………………………………………………22 \}-4(Xdaq
1.2.2 Description of optical coating and presentation of calculation results…………..28 I8*VM3
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 G#iQ X`
1.2.4 Approximate formulas…………………………………………………………...33
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1.2.5 Other recurrent methods…………………………………………………………34 ]{-.?W*$
1.2.6 The admittance phase plane……………………………………………………...38 4Nm >5*]
1.3 Some common properties of multilayer coatings…………………………………….46 ?0b-fL^^+l
1.3.1 The relation between the characteristic matrix and spectral coefficients of a z,HhSW?&^
multilayer coating ……………………………………………………………….47 L
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 c0Ug5Vr
1.3.3 Transmittance and reflectance of the combination of two multilayer owVvbC2<b(
subsystems ……………………………………………………………………....54 t2&kGf"
1.4 The multilayer coatings optical properties: impact of variations in the layer iT@` dEZ .
parameters……………………………………………………………………………...58 2:+8]b 3i
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… |@ mz@
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral npP C;KD
coefficients: probability assessment method ……………………….…………...63 ];r!
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter K2 m>D=w
variations ………………………………………………………………………...66 &\zYbGU
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 {%jAp11y+O
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Z[vx0[av&
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 M,Gy.ivz
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 P \7DA4]
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ,(jJOFf
central wavelength ………………………………………………………………80 $Dg-;I
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 >Wg=
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 D(cD8fn,J
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ,n|si#
wavelength ………………………………………………………………………88 68 %aDs
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92
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Chapter 2 Jcw^ Z,
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 eg mUUuO
2.1 Synthesis methods based on merit function optimization …………………………...98 W5j wD
2.1.1 Merit function selection …………………………………………………………98 YMGy-]!o
2.1.2 Merit function optimization ……………………………………………………101 .j6udiv5
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 |T#c q !
2.2.1 Needle-like variations of the refractive index ………………………………….115 F)P:lvp<r
2.2.2 The principal idea of the method ………………………………………………119 i Ad&o `C
2.2.3 Description of the method ……………………………………………………...124 9#E *o~1
Bibliography …...………………………………………….……………….………..……130
