| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS cOEzS eFCXjM Contents *gXm&/2* Preface……………………………………………………………………….………..……….4 +l_$}UN Chapter 1 &0S/]E`_M SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: %uhhQ<zs% THEORY……………………………………………………………………………………….5 'k[gxk|d2 1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 a fhZM$ 1.1.1 Layered medium electromagnetic field equations………………………………...5 64qQ:D7C 1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 4WV)&50 1.1.3 The Fresnel formulas ……………………………………………………………18 98eS f 1.1.4 Other ways of determining amplitude transmittance and reflectance of the x+5y287# layered medium…………………………………………………………………..19 QYTwGThWR 1.1.5 Transmittance, reflectance and absorptance …………………………………….20 uDi#a~m@ 1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 E|Z7art 1.2.1 Matrix calculating method ………………………………………………………22 - dt<w;>W 1.2.2 Description of optical coating and presentation of calculation results…………..28 I UxsvW+ 1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 4i o02qd
4 1.2.4 Approximate formulas…………………………………………………………...33 H@WQO]PA 1.2.5 Other recurrent methods…………………………………………………………34 Dbo.N` 1.2.6 The admittance phase plane……………………………………………………...38 S=~8nr/V 1.3 Some common properties of multilayer coatings…………………………………….46 CDM==Xa* 1.3.1 The relation between the characteristic matrix and spectral coefficients of a ;]^JUmxU[d multilayer coating ……………………………………………………………….47 0,`$ KbV\ 1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 I3V>VLv 1.3.3 Transmittance and reflectance of the combination of two multilayer S+YbsLf subsystems ……………………………………………………………………....54 h/%Hk;|9 1.4 The multilayer coatings optical properties: impact of variations in the layer u +OfUBrf parameters……………………………………………………………………………...58 3M&75OE 1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… lCyp&b#(L 1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral &Wup
7 coefficients: probability assessment method ……………………….…………...63 {m%X\s;ni 1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 5K*-)F
] variations ………………………………………………………………………...66
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 oos35xV. 1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 C&'Y@GE5 1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72
" V`MNZ 1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Eqva]
4 1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the jTx,5s- central wavelength ………………………………………………………………80 TGz5t$]I 1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 BDg6ZI<n 1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 1xo<V5 1.6.1 Common expressions for spectral coefficients of filter-type systems near central 4&/-xg87( wavelength ………………………………………………………………………88 hD/bO 1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 BE}qwP^ Chapter 2 +6{KrREX) SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 IczEddt@' 2.1 Synthesis methods based on merit function optimization …………………………...98 o;JBe"1 2.1.1 Merit function selection …………………………………………………………98 '4A8\&lQO 2.1.2 Merit function optimization ……………………………………………………101 r(yb%p+ 2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 STmCj 2.2 Synthesis method based on the needle-like variations of the refractive index ……114 -~h2^Oez 2.2.1 Needle-like variations of the refractive index ………………………………….115 Om0S^4y]x 2.2.2 The principal idea of the method ………………………………………………119 y*6r&989 2.2.3 Description of the method ……………………………………………………...124 dR_hPBn/@ Bibliography …...………………………………………….……………….………..……130
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