Basics of OPTICS OF MULTILAYER SYSTEMS TaE&8;H# N
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Contents ^{w]r5d
Preface……………………………………………………………………….………..……….4 6 xAR:
Chapter 1 \KT}T
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: hF7#i_UN<
THEORY……………………………………………………………………………………….5 iK <v r
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 }='1<~0
1.1.1 Layered medium electromagnetic field equations………………………………...5 <-K'9ut,
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 o2r)K AA
1.1.3 The Fresnel formulas ……………………………………………………………18 pZO`18z
1.1.4 Other ways of determining amplitude transmittance and reflectance of the vILq5iR
layered medium…………………………………………………………………..19 y759S)U>>p
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 pG(%yIiAi
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ;&MI
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1.2.1 Matrix calculating method ………………………………………………………22 g Q~X;'
1.2.2 Description of optical coating and presentation of calculation results…………..28 b$G &i'd
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 cuW&X9\m,
1.2.4 Approximate formulas…………………………………………………………...33 C6cEt5
1.2.5 Other recurrent methods…………………………………………………………34 '}.Z' %;
1.2.6 The admittance phase plane……………………………………………………...38 9_<>#)u5
1.3 Some common properties of multilayer coatings…………………………………….46 Ki tx%P`i
1.3.1 The relation between the characteristic matrix and spectral coefficients of a y{]iwO;
multilayer coating ……………………………………………………………….47 @O Rk
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 IW-lC{hK
1.3.3 Transmittance and reflectance of the combination of two multilayer pv9Z-WCix$
subsystems ……………………………………………………………………....54 UA]U_P$c
1.4 The multilayer coatings optical properties: impact of variations in the layer gdkQ
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parameters……………………………………………………………………………...58 AQa;D2B$
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… |ZuS"'3_w
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral d1=fA%pJ
coefficients: probability assessment method ……………………….…………...63 1T@#gE["Ic
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter %`1 p 8>n
variations ………………………………………………………………………...66 szW85{<+
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 L!
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 qKL
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ae`6hW2
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Me XGE
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the fNTe_akp
central wavelength ………………………………………………………………80
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 `X ;2lgL
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 mcFJ__3MAV
1.6.1 Common expressions for spectral coefficients of filter-type systems near central (c=.?{U
wavelength ………………………………………………………………………88 7C"&f *lEi
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 pwG" _|h
Chapter 2 h xQx$
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 98x&2(N
2.1 Synthesis methods based on merit function optimization …………………………...98 B8sc;Z.
2.1.1 Merit function selection …………………………………………………………98 Wz] ny3K[.
2.1.2 Merit function optimization ……………………………………………………101
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2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 8)
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 / >q?H)6
2.2.1 Needle-like variations of the refractive index ………………………………….115 WY 'QhieH
2.2.2 The principal idea of the method ………………………………………………119 < 1(j&U
2.2.3 Description of the method ……………………………………………………...124 5h6c W
Bibliography …...………………………………………….……………….………..……130
