Basics of OPTICS OF MULTILAYER SYSTEMS *|_u~v:)|5
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Contents e)!X9><J
Preface……………………………………………………………………….………..……….4
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Chapter 1 :G y
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SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: "^22 Y}VB
THEORY……………………………………………………………………………………….5 '(^p$=3|@D
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 LeQ2,/7l:
1.1.1 Layered medium electromagnetic field equations………………………………...5 c)iQ3_&=
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 7lR(6ka&/
1.1.3 The Fresnel formulas ……………………………………………………………18 V aVKWJg$
1.1.4 Other ways of determining amplitude transmittance and reflectance of the X*$ 7g;
layered medium…………………………………………………………………..19 Tk.MtIs)V}
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 *v l_3S5_
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 t( p
1.2.1 Matrix calculating method ………………………………………………………22 WDE_"Mm
1.2.2 Description of optical coating and presentation of calculation results…………..28 ` mALx! `
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 !Aunwq^
1.2.4 Approximate formulas…………………………………………………………...33 C(e!cOG
1.2.5 Other recurrent methods…………………………………………………………34 5!tmG- 'b
1.2.6 The admittance phase plane……………………………………………………...38 [RC|W%<Z>
1.3 Some common properties of multilayer coatings…………………………………….46 (:Bo'q
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1.3.1 The relation between the characteristic matrix and spectral coefficients of a 3w!oJB
multilayer coating ……………………………………………………………….47 tQo"$ JN}
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51
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1.3.3 Transmittance and reflectance of the combination of two multilayer aH'^`] '_=
subsystems ……………………………………………………………………....54 EU>@k{ Qt
1.4 The multilayer coatings optical properties: impact of variations in the layer -}4 H'%Z(i
parameters……………………………………………………………………………...58 7dV^35 KP
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ;u}MG3Y8
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral N|1J @"H
coefficients: probability assessment method ……………………….…………...63 L?Wl#wP\;*
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ) bPNL$O
variations ………………………………………………………………………...66 "/ @
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 6<rc ]T'|
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 +n2x@ 0op
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ,1^)JshZ~
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 WYEvW<Hv
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the <XCH {Te1
central wavelength ………………………………………………………………80 MW 'z*r|,
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 O!Mm~@Mo A
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 '
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central gj6"U {D
wavelength ………………………………………………………………………88 }Z0)FU +
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 `n5RDz/f0
Chapter 2 O }IS{/^7
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ~aA+L-s|
2.1 Synthesis methods based on merit function optimization …………………………...98 Haq 23 K
2.1.1 Merit function selection …………………………………………………………98 _IT,>#ba
2.1.2 Merit function optimization ……………………………………………………101 oY +RG|j@
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 R`TM@aaS:
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 e|+uLbN&;c
2.2.1 Needle-like variations of the refractive index ………………………………….115 `z+:Z>>
2.2.2 The principal idea of the method ………………………………………………119 ks(PH6:]<
2.2.3 Description of the method ……………………………………………………...124 tH>%`:
Bibliography …...………………………………………….……………….………..……130
