Basics of OPTICS OF MULTILAYER SYSTEMS 0]5X Tc3r
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Contents eikZ~!@
Preface……………………………………………………………………….………..……….4 xY]q[a?cy
Chapter 1 *0" oj fVn
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: g^
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THEORY……………………………………………………………………………………….5 d,?D '/
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ]*=!lfrV
1.1.1 Layered medium electromagnetic field equations………………………………...5 HTQTDbhV^
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 0p.MH~mx
1.1.3 The Fresnel formulas ……………………………………………………………18 4*Hzys[{
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Rw
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layered medium…………………………………………………………………..19 Zq &'a_
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 q`mxN!1[
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 i ZPNss
1.2.1 Matrix calculating method ………………………………………………………22 gw"SKp!]
1.2.2 Description of optical coating and presentation of calculation results…………..28 Fy\q >(v.
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 q `PA~ C];
1.2.4 Approximate formulas…………………………………………………………...33 jR}EBaI}
1.2.5 Other recurrent methods…………………………………………………………34 pNd`fV#jX
1.2.6 The admittance phase plane……………………………………………………...38 :q3w;B~
1.3 Some common properties of multilayer coatings…………………………………….46 2p9^ =
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 'AK '(cZ
multilayer coating ……………………………………………………………….47 Gjeb)Y6N
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 p#qla'
1.3.3 Transmittance and reflectance of the combination of two multilayer /[lEZ['^
subsystems ……………………………………………………………………....54 Il4]1d|
1.4 The multilayer coatings optical properties: impact of variations in the layer 5 ph CEKt;
parameters……………………………………………………………………………...58 {HY3E}YJL
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ]h1.1@ >xc
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ! (lF#MG}
coefficients: probability assessment method ……………………….…………...63 6p
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter cZ )JvU9]
variations ………………………………………………………………………...66 w_>\Yd [
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 oUsfO-dET^
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 MR,I`9P e
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 L/ Kb\\f
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 cQ <|Of
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the |BM#r fQ
central wavelength ………………………………………………………………80 Sr Nc
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 UH0l8ixc
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 @{RhO|UR
1.6.1 Common expressions for spectral coefficients of filter-type systems near central @7"n X
wavelength ………………………………………………………………………88 ;{0alhMZ
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 !G vT{
Chapter 2 0`.&U^dG
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 (M|DNDM'd
2.1 Synthesis methods based on merit function optimization …………………………...98 j~Fd8]@
2.1.1 Merit function selection …………………………………………………………98 p #w8$Qjp
2.1.2 Merit function optimization ……………………………………………………101 c;/vzIJj
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 h/A\QW8Sd
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 C3^3<
2.2.1 Needle-like variations of the refractive index ………………………………….115 m4h)Wq
2.2.2 The principal idea of the method ………………………………………………119 c
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2.2.3 Description of the method ……………………………………………………...124 +}at#%1@
Bibliography …...………………………………………….……………….………..……130
