Basics of OPTICS OF MULTILAYER SYSTEMS LOi5 ^Um|
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Contents yWu80C8 q
Preface……………………………………………………………………….………..……….4 EP7L5GZ-a
Chapter 1 ZVE q{x1Zc
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: E
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THEORY……………………………………………………………………………………….5 ~P|YAaFx
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 "YHqls} c
1.1.1 Layered medium electromagnetic field equations………………………………...5 R1 / )Yy
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Q$G!-y+"i
1.1.3 The Fresnel formulas ……………………………………………………………18 *nU7v3D
1.1.4 Other ways of determining amplitude transmittance and reflectance of the V3K
layered medium…………………………………………………………………..19 w<N [ K>
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 i;`r zsRb
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 FVsVY1
1.2.1 Matrix calculating method ………………………………………………………22 D_`MeqF}C
1.2.2 Description of optical coating and presentation of calculation results…………..28 ?n> h /[/
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 &H;0N"Fn
1.2.4 Approximate formulas…………………………………………………………...33 e?3 S0}
1.2.5 Other recurrent methods…………………………………………………………34 8.Wf^j$+{
1.2.6 The admittance phase plane……………………………………………………...38 ZffK] ;D
1.3 Some common properties of multilayer coatings…………………………………….46 t.c XrX`k
1.3.1 The relation between the characteristic matrix and spectral coefficients of a >V@-tT"^:
multilayer coating ……………………………………………………………….47 = yOIP@
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 cF3V{b|bU
1.3.3 Transmittance and reflectance of the combination of two multilayer E"&fT!yi
subsystems ……………………………………………………………………....54 " GkBX
1.4 The multilayer coatings optical properties: impact of variations in the layer G/\t<>O8o
parameters……………………………………………………………………………...58 qYZX,
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… bcC ;i~9
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 6;9SU+/
coefficients: probability assessment method ……………………….…………...63 dGMBgj
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter >%x7-->IB
variations ………………………………………………………………………...66 U)=?3}s(
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 C^XJE1D.
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 wq J^tA!
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ZJ'#XZpr
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 :84fd\It4
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ?V"X =B2
central wavelength ………………………………………………………………80 l_ Ftt N
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 SaMg)s~B
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 i5w
1.6.1 Common expressions for spectral coefficients of filter-type systems near central \ $}^u5Y
wavelength ………………………………………………………………………88 ~~,\BhG?
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 _5EM < Ux
Chapter 2 yYwZZa1
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 4*d$o =wa
2.1 Synthesis methods based on merit function optimization …………………………...98 ZGf R:a)wc
2.1.1 Merit function selection …………………………………………………………98 sL75C|f9
2.1.2 Merit function optimization ……………………………………………………101 fI;6!M#
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 jQ@z!GirT
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 c#|!^gjf
2.2.1 Needle-like variations of the refractive index ………………………………….115 \ " {+J
2.2.2 The principal idea of the method ………………………………………………119 4 ,!#E0
2.2.3 Description of the method ……………………………………………………...124 5Jh= ${
Bibliography …...………………………………………….……………….………..……130
