Basics of OPTICS OF MULTILAYER SYSTEMS &:#m&,tQ
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Contents MC=G "m:_
Preface……………………………………………………………………….………..……….4 !0fI"3P@r
Chapter 1
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SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: y @apJ;_R-
THEORY……………………………………………………………………………………….5 VO`"<
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 }e=e",eAT
1.1.1 Layered medium electromagnetic field equations………………………………...5 3eg5oAZ)G8
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 H =. K
1.1.3 The Fresnel formulas ……………………………………………………………18 LV.&>@*
1.1.4 Other ways of determining amplitude transmittance and reflectance of the zk>h u<_
layered medium…………………………………………………………………..19 v *P[W_.
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 vR]mSX3)?
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 p T=2e&
1.2.1 Matrix calculating method ………………………………………………………22 R [9w
1.2.2 Description of optical coating and presentation of calculation results…………..28 ` -D$Fsl
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 :dDxxrs"
1.2.4 Approximate formulas…………………………………………………………...33 wD=am
1.2.5 Other recurrent methods…………………………………………………………34 K/Jk[29"\
1.2.6 The admittance phase plane……………………………………………………...38 },6*Y*?{
1.3 Some common properties of multilayer coatings…………………………………….46 o>!JrH
1.3.1 The relation between the characteristic matrix and spectral coefficients of a $- w5o`e
multilayer coating ……………………………………………………………….47 '4 9L(>.
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 e\ ~l!f'z
1.3.3 Transmittance and reflectance of the combination of two multilayer }jcIDiSu
subsystems ……………………………………………………………………....54 yqBa_XPV8
1.4 The multilayer coatings optical properties: impact of variations in the layer 'bm:u
parameters……………………………………………………………………………...58 _m7c o :
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ;z0"Ox=7
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral F '#^`G9
coefficients: probability assessment method ……………………….…………...63 lA4hm4"i(,
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter m >hovikY*
variations ………………………………………………………………………...66 j ]H E>
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 s*+ZY Pk
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 U IQ 6SvM
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 6 puVw-X
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 f MzYFM'i
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 7%YYr^d
central wavelength ………………………………………………………………80 _r7=&oL.Q
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 LK
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 XqX
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central ! *8#jy
wavelength ………………………………………………………………………88 HIrEv
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 -Y2&A$cM
Chapter 2 VlV)$z_
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 T7ki/hjRb
2.1 Synthesis methods based on merit function optimization …………………………...98 5{HtJ?sKc5
2.1.1 Merit function selection …………………………………………………………98 9 g4Q Vo|
2.1.2 Merit function optimization ……………………………………………………101 0tSA|->(
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 pNBa.4z:
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 2!{N[* )
2.2.1 Needle-like variations of the refractive index ………………………………….115 `M,Nd'5&|
2.2.2 The principal idea of the method ………………………………………………119 3^'#ny? l
2.2.3 Description of the method ……………………………………………………...124 O <bDU0s{M
Bibliography …...………………………………………….……………….………..……130
