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Preface……………………………………………………………………….………..……….4 ZDl(q~4?z  
Chapter 1 \jBy
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SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: =tfS@o/n  
THEORY……………………………………………………………………………………….5 ILXVyU  
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 7j\jOklV  
1.1.1 Layered medium electromagnetic field equations………………………………...5 y Ide]  
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Pb@9<NXm'  
1.1.3 The Fresnel formulas ……………………………………………………………18 0D48L5kH#'  
1.1.4 Other ways of determining amplitude transmittance and reflectance of the %%k`+nK~  
layered medium…………………………………………………………………..19 ;=?KQq f  
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 [d,"
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ngQ]  
1.2.1 Matrix calculating method ………………………………………………………22 4w0Y(y  
1.2.2 Description of optical coating and presentation of calculation results…………..28 $~2qEe.h  
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 RU GhhK  
1.2.4 Approximate formulas…………………………………………………………...33 /s^O M`5  
1.2.5 Other recurrent methods…………………………………………………………34 {t<U:*n2  
1.2.6 The admittance phase plane……………………………………………………...38  k/}E(_e  
1.3 Some common properties of multilayer coatings…………………………………….46 twJ)h :!_y  
1.3.1 The relation between the characteristic matrix and spectral coefficients of a /YH5s=  
multilayer coating ……………………………………………………………….47 0p'=Vel{}  
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 L&SlUXyt.c  
1.3.3 Transmittance and reflectance of the combination of two multilayer L;k9}HWpP  
subsystems ……………………………………………………………………....54 ?3:xR_VWZu  
1.4 The multilayer coatings optical properties: impact of variations in the layer -+=+W  
parameters……………………………………………………………………………...58 gdyP,zMD7  
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… /I3>u  
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral fu?Y'Qet  
coefficients: probability assessment method ……………………….…………...63 HX:rVHY  
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Y;WHjW(K  
variations ………………………………………………………………………...66 )mMHwLDwH  
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 RA~%Cw4t  
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 $^4URH  
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72  7ehs+GI  
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 :TzHI   
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the l~V^  
central wavelength ………………………………………………………………80 s'|^6/  
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 U[UjL)U  
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 2,O;<9au<  
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ]MXeWS(  
wavelength ………………………………………………………………………88 J 4EG  
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 L5tSS=  
Chapter 2 e$+?l~  
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 U`fxe`nVa  
2.1 Synthesis methods based on merit function optimization …………………………...98 REvY`   
2.1.1 Merit function selection …………………………………………………………98 ?`%)3gx|  
2.1.2 Merit function optimization ……………………………………………………101 %l7|+%M.{  
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 C!8XFf8
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 m# ]VdO'f  
2.2.1 Needle-like variations of the refractive index ………………………………….115 J9 iQW  
2.2.2 The principal idea of the method ………………………………………………119 FF"`F8-w>Z  
2.2.3 Description of the method ……………………………………………………...124 `kdP)lI `  
Bibliography …...………………………………………….……………….………..……130

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OPTICS OF MULTILAYER

OPTICS OF MULTILAYER

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