Basics of OPTICS OF MULTILAYER SYSTEMS C~o\Q# *j
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Contents >^o dV
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Preface……………………………………………………………………….………..……….4 >) + -:
Chapter 1 +Y|1 7 n
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ;kE|Vx
THEORY……………………………………………………………………………………….5 TAE@KSPvo
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 [>MPM$9F-m
1.1.1 Layered medium electromagnetic field equations………………………………...5 ()\=(n!J
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 !Au@\/}
1.1.3 The Fresnel formulas ……………………………………………………………18 d[( }
1.1.4 Other ways of determining amplitude transmittance and reflectance of the r9\ 7I7z
layered medium…………………………………………………………………..19 L9"yQD^R7?
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 -% ,3qhsd
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 XCAy _fL<B
1.2.1 Matrix calculating method ………………………………………………………22 vGST{Lz;
1.2.2 Description of optical coating and presentation of calculation results…………..28 Q"(*SA+-|
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 G JeP~
1.2.4 Approximate formulas…………………………………………………………...33 ~R+,4
1.2.5 Other recurrent methods…………………………………………………………34 Vs"1:gi&
1.2.6 The admittance phase plane……………………………………………………...38 $URL7hrh U
1.3 Some common properties of multilayer coatings…………………………………….46 awC:{5R8v
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 7kT&}`g.
multilayer coating ……………………………………………………………….47 &;x* u G
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 *ydh.R<hb
1.3.3 Transmittance and reflectance of the combination of two multilayer q4xP<b^
subsystems ……………………………………………………………………....54 Dr oa1_FX
1.4 The multilayer coatings optical properties: impact of variations in the layer U)sw
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parameters……………………………………………………………………………...58 pRez${f.(s
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… J? 4E Hl
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Tu[I84
coefficients: probability assessment method ……………………….…………...63 N"zg)MsX
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter < _8p6{=
variations ………………………………………………………………………...66 <aR sogu"P
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 o"19{ D^.
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 nQm
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ahmxbv3f=5
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 >U9JbkeF
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the :G8:b.
central wavelength ………………………………………………………………80 |!?lwBs4
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 #* ~3gMI{=
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ]*&`J4i
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 86f8b{_e"
wavelength ………………………………………………………………………88 t}X+P`Ovq
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 mr[+\
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Chapter 2 } Nc Ed ;
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 Co^^rd@
2.1 Synthesis methods based on merit function optimization …………………………...98 TOge!Q>a
2.1.1 Merit function selection …………………………………………………………98 C(J +tbk
2.1.2 Merit function optimization ……………………………………………………101 ZP(T=Q
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 F5s`AjU
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 d&owS+B{48
2.2.1 Needle-like variations of the refractive index ………………………………….115 }9*N EU) o
2.2.2 The principal idea of the method ………………………………………………119 }J0HEpn4
2.2.3 Description of the method ……………………………………………………...124 <KEVA?0>
Bibliography …...………………………………………….……………….………..……130
