Basics of OPTICS OF MULTILAYER SYSTEMS H_ez'yy
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Contents XFh>U7z.
Preface……………………………………………………………………….………..……….4 $8'O
Chapter 1 ~35U]s@v
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: V2<?ol
THEORY……………………………………………………………………………………….5 z8J."27N D
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 viAMr"z
1.1.1 Layered medium electromagnetic field equations………………………………...5 WwUv5GZTW
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 UEzb^(8>
1.1.3 The Fresnel formulas ……………………………………………………………18 T1r3=Y4
1.1.4 Other ways of determining amplitude transmittance and reflectance of the A?o Xq b
layered medium…………………………………………………………………..19 u]ZqOJXxu
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 = Mb1o[
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 f*24)Wn<
1.2.1 Matrix calculating method ………………………………………………………22 6O22P?v
1.2.2 Description of optical coating and presentation of calculation results…………..28 4j!]:r a
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 X2xu wA
1.2.4 Approximate formulas…………………………………………………………...33 yj$TPe_BW
1.2.5 Other recurrent methods…………………………………………………………34 7]%Ypv$
1.2.6 The admittance phase plane……………………………………………………...38 Vm |Y$ C
1.3 Some common properties of multilayer coatings…………………………………….46 ((^sDE6(
1.3.1 The relation between the characteristic matrix and spectral coefficients of a wfP5@ !I
multilayer coating ……………………………………………………………….47 3tmdi 3s
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 w Hem5 E
1.3.3 Transmittance and reflectance of the combination of two multilayer $
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subsystems ……………………………………………………………………....54 R i 'L
1.4 The multilayer coatings optical properties: impact of variations in the layer dna6QV>A
parameters……………………………………………………………………………...58 IB`>'~s& A
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ne>g?"Pex{
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ~-83Q5/[
coefficients: probability assessment method ……………………….…………...63 " sgjWo6
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter !gmH$1w
variations ………………………………………………………………………...66 -.|4Y#b:&
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 z 8*8OWM
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 P\&! ]
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 C P3<1~
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 i#%a- I:M
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the &
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central wavelength ………………………………………………………………80 QQpP#F|w
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 x5Z-{"
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 5eA8niq#
1.6.1 Common expressions for spectral coefficients of filter-type systems near central IjfxR mV
wavelength ………………………………………………………………………88 }elH75[64
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 )!Bd6-
Chapter 2 1'4J[S\cM
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 "W#t;;9Wz
2.1 Synthesis methods based on merit function optimization …………………………...98 9 F^;!
2.1.1 Merit function selection …………………………………………………………98 ,b$2= JO'f
2.1.2 Merit function optimization ……………………………………………………101 |Cdvfk
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 s:Akk kF
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 z1!6%W_.
2.2.1 Needle-like variations of the refractive index ………………………………….115 ;_:Oo l,
2.2.2 The principal idea of the method ………………………………………………119 dtAbc7
2.2.3 Description of the method ……………………………………………………...124 RA jkH`
Bibliography …...………………………………………….……………….………..……130
