Basics of OPTICS OF MULTILAYER SYSTEMS js'* :*7
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Contents Qx'a+kLu9
Preface……………………………………………………………………….………..……….4 fHR1 ku y
Chapter 1 BX2&tQSp
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: @N"h,(^
THEORY……………………………………………………………………………………….5 +
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 a'XC T@B
1.1.1 Layered medium electromagnetic field equations………………………………...5 Y |n_Ro^~
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 x>p=1(L
1.1.3 The Fresnel formulas ……………………………………………………………18 J1P82=$,
1.1.4 Other ways of determining amplitude transmittance and reflectance of the * +lnAxRa?
layered medium…………………………………………………………………..19 ] QtG gWtC
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 +TA(crD
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 __'Z0?.4#
1.2.1 Matrix calculating method ………………………………………………………22 k7f[aM 5]
1.2.2 Description of optical coating and presentation of calculation results…………..28 $l-j(=Md
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 &I <R|a
1.2.4 Approximate formulas…………………………………………………………...33 4- N> #
1.2.5 Other recurrent methods…………………………………………………………34 Q(E $;@
1.2.6 The admittance phase plane……………………………………………………...38 Su6ZO'[)
1.3 Some common properties of multilayer coatings…………………………………….46 QWx CNt:^?
1.3.1 The relation between the characteristic matrix and spectral coefficients of a U7bG(?k)
multilayer coating ……………………………………………………………….47 xL=g(FN(6L
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 24>{T5E
1.3.3 Transmittance and reflectance of the combination of two multilayer ~iyd p
subsystems ……………………………………………………………………....54 `p*7MZ9 -
1.4 The multilayer coatings optical properties: impact of variations in the layer ?r2 Im5N
parameters……………………………………………………………………………...58 l4v)tV~
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… %`-NWAXL
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral +!'6:F
coefficients: probability assessment method ……………………….…………...63 Td
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter E d.~9*m
variations ………………………………………………………………………...66 XZJ }nXy
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 3eFD[c%mN
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 N
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 I eZ} `$[H
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ;{j:5+'
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Kx ?}%@b
central wavelength ………………………………………………………………80 DTAE fs!ZW
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 f+1)Ju~
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 4VD'<`R[
1.6.1 Common expressions for spectral coefficients of filter-type systems near central GDZe6*
wavelength ………………………………………………………………………88 Bn}@wO
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 jFbz:aUF
Chapter 2 Op\l
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 }us%G&A2u
2.1 Synthesis methods based on merit function optimization …………………………...98 ,r:.
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2.1.1 Merit function selection …………………………………………………………98 OKxPf]~4E
2.1.2 Merit function optimization ……………………………………………………101 {(7C=)8):
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 O BF5Tl4
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 (:vY:-\ bO
2.2.1 Needle-like variations of the refractive index ………………………………….115 e8--qV#<
2.2.2 The principal idea of the method ………………………………………………119 eWW\m[k]}
2.2.3 Description of the method ……………………………………………………...124 J[RQF54qA{
Bibliography …...………………………………………….……………….………..……130
