Basics of OPTICS OF MULTILAYER SYSTEMS Q;^([39DI
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Contents 43VuH
Preface……………………………………………………………………….………..……….4 Em?skUnG,
Chapter 1 #Gg^f m
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: \ o3i9Q9C
THEORY……………………………………………………………………………………….5 gM= ~dBz
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Hm iwpI
1.1.1 Layered medium electromagnetic field equations………………………………...5 @a3<fmJ
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 O;zW '*c+
1.1.3 The Fresnel formulas ……………………………………………………………18 nv8,O= #s
1.1.4 Other ways of determining amplitude transmittance and reflectance of the }Jtaq[y\r
layered medium…………………………………………………………………..19 odhgIl&u
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ?IWLl
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 {6AJ>}3
1.2.1 Matrix calculating method ………………………………………………………22 q6D hypB
1.2.2 Description of optical coating and presentation of calculation results…………..28 Nyo6R9 ^
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 h*K hH>\
1.2.4 Approximate formulas…………………………………………………………...33 Uex b>|
1.2.5 Other recurrent methods…………………………………………………………34 {C6Yr9
1.2.6 The admittance phase plane……………………………………………………...38 G.N3 R
1.3 Some common properties of multilayer coatings…………………………………….46
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1.3.1 The relation between the characteristic matrix and spectral coefficients of a g 0 8
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multilayer coating ……………………………………………………………….47 C1nQZtF R
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 t +#Ss v8
1.3.3 Transmittance and reflectance of the combination of two multilayer WFdS#Xf V
subsystems ……………………………………………………………………....54
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1.4 The multilayer coatings optical properties: impact of variations in the layer A} "*`y
parameters……………………………………………………………………………...58
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Ay_<?F+&
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral un/R7 "
coefficients: probability assessment method ……………………….…………...63 [v& _MQ
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter pp-Ur?PM
variations ………………………………………………………………………...66 du qu}*Jw
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 N ; h q
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 E }yxF .
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 t3WlVUtq3
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 JxWHrs h[
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the yQW\0&a$
central wavelength ………………………………………………………………80 B\mdOTLQ
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 DU tpd|
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 [|>.iH X
1.6.1 Common expressions for spectral coefficients of filter-type systems near central o4J K$%
wavelength ………………………………………………………………………88 nxJhK
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 *83+!DV|
Chapter 2 .xD-eWw3R
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 `#UTOYx4
2.1 Synthesis methods based on merit function optimization …………………………...98 =1,g#HS
2.1.1 Merit function selection …………………………………………………………98 ~9n@MPS^!
2.1.2 Merit function optimization ……………………………………………………101 |p+VitM7
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 o+vf
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 FD6|>G
2.2.1 Needle-like variations of the refractive index ………………………………….115 B}jZ~/D}
2.2.2 The principal idea of the method ………………………………………………119 H;CGLis
2.2.3 Description of the method ……………………………………………………...124 OW.ckYt%
Bibliography …...………………………………………….……………….………..……130
