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Basics of OPTICS OF MULTILAYER SYSTEMS ,_K /e  
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Contents [25[c><:w"  
Preface……………………………………………………………………….………..……….4 /8Sg<  
Chapter 1 {q9[0-LyJ  
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 7J~usF>A  
THEORY……………………………………………………………………………………….5 7*bUy)UZ  
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 /D]?+<h1  
1.1.1 Layered medium electromagnetic field equations………………………………...5 l_K=7\N  
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 
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1.1.3 The Fresnel formulas ……………………………………………………………18 8IErLu}  
1.1.4 Other ways of determining amplitude transmittance and reflectance of the BDW%cs  
layered medium…………………………………………………………………..19 wS*An
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 xPFNH`O&  
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 3I87|5V,Z  
1.2.1 Matrix calculating method ………………………………………………………22 <cQ)*~hN  
1.2.2 Description of optical coating and presentation of calculation results…………..28 0n5{Wr$  
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 :'*;>P .(  
1.2.4 Approximate formulas…………………………………………………………...33 jf_xm=n  
1.2.5 Other recurrent methods…………………………………………………………34 uJQ#l\t  
1.2.6 The admittance phase plane……………………………………………………...38 sW'SR  
1.3 Some common properties of multilayer coatings…………………………………….46 -O.q$D=as  
1.3.1 The relation between the characteristic matrix and spectral coefficients of a idWYpU>gC  
multilayer coating ……………………………………………………………….47 {+CW_ce  
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 *v+xKy#M  
1.3.3 Transmittance and reflectance of the combination of two multilayer "MH_hzbBF  
subsystems ……………………………………………………………………....54 {)E)&lL  
1.4 The multilayer coatings optical properties: impact of variations in the layer 
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parameters……………………………………………………………………………...58 #bxUI{*J  
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… >
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral z8HOig?  
coefficients: probability assessment method ……………………….…………...63 zGtWyXP  
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter dso6ZRx  
variations ………………………………………………………………………...66 .M3]\I u  
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 c&!EsMsU  
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 8ZYF%  
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 tOn 6  
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the o:`>r/SlL  
central wavelength ………………………………………………………………80 }.j<kmd  
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 13+f ^  
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 S8+G
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central
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wavelength ………………………………………………………………………88 0L3v[%_j"  
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 5](-(?k}~  
Chapter 2 a: Ch"la  
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 N3J T[7  
2.1 Synthesis methods based on merit function optimization …………………………...98 nnP]x [  
2.1.1 Merit function selection …………………………………………………………98 <1r#hFUUL  
2.1.2 Merit function optimization ……………………………………………………101 ]: VR3e"H  
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 rCOH*m&  
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 O$<m(~[S  
2.2.1 Needle-like variations of the refractive index ………………………………….115 dD%Sbb  
2.2.2 The principal idea of the method ………………………………………………119 "pQFIV,  
2.2.3 Description of the method ……………………………………………………...124 ^T(v4'7  
Bibliography …...………………………………………….……………….………..……130

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OPTICS OF MULTILAYER

OPTICS OF MULTILAYER

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