Basics of OPTICS OF MULTILAYER SYSTEMS tntQO!pM
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Contents 8u,f<XHi"a
Preface……………………………………………………………………….………..……….4 !18M!8Xea
Chapter 1 <mm. b
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: c&1:H1 #
THEORY……………………………………………………………………………………….5 <_S>- ;by
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 z*cC2+R} =
1.1.1 Layered medium electromagnetic field equations………………………………...5 io[$QTY
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 *Txt`z[|
1.1.3 The Fresnel formulas ……………………………………………………………18 !+;'kI2
1.1.4 Other ways of determining amplitude transmittance and reflectance of the bp06xHMu
layered medium…………………………………………………………………..19 q 1Ja*=r
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 IpX>G]"-C
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 >Cb [
1.2.1 Matrix calculating method ………………………………………………………22 D0 (%{S^
1.2.2 Description of optical coating and presentation of calculation results…………..28 O<&8 gk~
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 $"d< F3k
1.2.4 Approximate formulas…………………………………………………………...33 OC$Y8Ofr
1.2.5 Other recurrent methods…………………………………………………………34 yw|O,V<4N
1.2.6 The admittance phase plane……………………………………………………...38 <<z YF.9L]
1.3 Some common properties of multilayer coatings…………………………………….46 a&6e~E$K2
1.3.1 The relation between the characteristic matrix and spectral coefficients of a #S57SD
multilayer coating ……………………………………………………………….47 _H:mBk,,
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 "T`Q,
1.3.3 Transmittance and reflectance of the combination of two multilayer ]-Z="YPY
subsystems ……………………………………………………………………....54 ^:.=S`,^
1.4 The multilayer coatings optical properties: impact of variations in the layer `u%`N j
parameters……………………………………………………………………………...58 [
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ,k*g `OTW
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral " "GeO%J8
coefficients: probability assessment method ……………………….…………...63 Voi`OCut
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter RR u1/nam
variations ………………………………………………………………………...66 5]/i[T_
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 VP|ga }(
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 %!5[3b'h
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 B|Y6;4?
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 "XWrd [Df
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ?U~9d"2=
central wavelength ………………………………………………………………80 `K .2&6xc
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 "~y@rqIba
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 |[ymNG
1.6.1 Common expressions for spectral coefficients of filter-type systems near central t ta \.ic
wavelength ………………………………………………………………………88 29(s^#e8A
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 [FHSFr
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Chapter 2 ~ _SoP
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 K5O8G
2.1 Synthesis methods based on merit function optimization …………………………...98 i%m]<yElm
2.1.1 Merit function selection …………………………………………………………98 5 &WYL
2.1.2 Merit function optimization ……………………………………………………101 d4Y8q1
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Q`nsL)J
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 n>d@}hyv
2.2.1 Needle-like variations of the refractive index ………………………………….115 K
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2.2.2 The principal idea of the method ………………………………………………119 [89qg+z
2.2.3 Description of the method ……………………………………………………...124 *U vh;d{
Bibliography …...………………………………………….……………….………..……130
