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Basics of OPTICS OF MULTILAYER SYSTEMS r:5u(2  
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Contents lNx:_g:SrZ  
Preface……………………………………………………………………….………..……….4 .$zo_~ mR  
Chapter 1 n{=Nf|=  
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: evlz R/  
THEORY……………………………………………………………………………………….5 I(va;hG<o  
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 >dfk2.6e  
1.1.1 Layered medium electromagnetic field equations………………………………...5 R]" j
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 aA=7x&z@  
1.1.3 The Fresnel formulas ……………………………………………………………18 Qsg([K  
1.1.4 Other ways of determining amplitude transmittance and reflectance of the =2/[n8pSsM  
layered medium…………………………………………………………………..19 Id=g!L|  
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 HME`7dw?  
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 z+]YB5zK%  
1.2.1 Matrix calculating method ………………………………………………………22 B qcFbY  
1.2.2 Description of optical coating and presentation of calculation results…………..28 bj_oA i  
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 cm`x;[e6l  
1.2.4 Approximate formulas…………………………………………………………...33 eVRjU  
1.2.5 Other recurrent methods…………………………………………………………34 ]dL#k>$0q  
1.2.6 The admittance phase plane……………………………………………………...38 ]]50c  
1.3 Some common properties of multilayer coatings…………………………………….46 kz^?!l)X0  
1.3.1 The relation between the characteristic matrix and spectral coefficients of a UgD&tD0fp  
multilayer coating ……………………………………………………………….47 u.,l_D_  
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 c52S2f7  
1.3.3 Transmittance and reflectance of the combination of two multilayer :ywm4)  
subsystems ……………………………………………………………………....54 :\KJw  
1.4 The multilayer coatings optical properties: impact of variations in the layer lO=~&_  
parameters……………………………………………………………………………...58 o,_R;'\E[a  
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… }o7"2hht  
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral t{Z:N']H  
coefficients: probability assessment method ……………………….…………...63  4_d'Uh&]  
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter .NT9dX  
variations ………………………………………………………………………...66 wg=-&
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 V]P%@<C  
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 MXrh[QCU)  
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 /XXy!=1J  
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 2Z7r ZjXW  
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the UJk/Lxv  
central wavelength ………………………………………………………………80 aS&,$sR  
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 17+2`@vJgM  
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 15CKcM6  
1.6.1 Common expressions for spectral coefficients of filter-type systems near central lR0WDJv  
wavelength ………………………………………………………………………88 $m;DwlM  
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 :7)lgiM2  
Chapter 2 b9TsuY  
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 YxWA] yL  
2.1 Synthesis methods based on merit function optimization …………………………...98 +K7oyZg  
2.1.1 Merit function selection …………………………………………………………98 0 ![  
2.1.2 Merit function optimization ……………………………………………………101 %OAvhutS  
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 eY8rm  
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 3pjK`"Nmz\  
2.2.1 Needle-like variations of the refractive index ………………………………….115 L(DDyA{bA  
2.2.2 The principal idea of the method ………………………………………………119 P:fcbfH+  
2.2.3 Description of the method ……………………………………………………...124 yR[htD`  
Bibliography …...………………………………………….……………….………..……130

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OPTICS OF MULTILAYER

OPTICS OF MULTILAYER

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