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Basics of OPTICS OF MULTILAYER SYSTEMS c],Zw  
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Contents bWZ
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Preface……………………………………………………………………….………..……….4 A&d_!u>  
Chapter 1 k#2b3}(,  
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Wt=%.Y(x  
THEORY……………………………………………………………………………………….5 QbYNL9%  
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 rm<`H(cT  
1.1.1 Layered medium electromagnetic field equations………………………………...5 sDwE,f0h  
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 /AIFgsaY  
1.1.3 The Fresnel formulas ……………………………………………………………18 >?{> !#1  
1.1.4 Other ways of determining amplitude transmittance and reflectance of the D7v.Xq|  
layered medium…………………………………………………………………..19 0Rn`63#  
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 m;<5QK8f  
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 r2&/Ii+  
1.2.1 Matrix calculating method ………………………………………………………22 HmV JkkksJ  
1.2.2 Description of optical coating and presentation of calculation results…………..28 OSK:Cb.-?F  
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 5(DnE?}vo  
1.2.4 Approximate formulas…………………………………………………………...33 |vj!,b88n#  
1.2.5 Other recurrent methods…………………………………………………………34 s ~i,R  
1.2.6 The admittance phase plane……………………………………………………...38 =I$:-[(  
1.3 Some common properties of multilayer coatings…………………………………….46 !
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1.3.1 The relation between the characteristic matrix and spectral coefficients of a K14{c1  
multilayer coating ……………………………………………………………….47 %"3tGi:/  
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 3H5<w4yk  
1.3.3 Transmittance and reflectance of the combination of two multilayer ks8xxY  
subsystems ……………………………………………………………………....54 hw&~OJeo  
1.4 The multilayer coatings optical properties: impact of variations in the layer 1k)`
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parameters……………………………………………………………………………...58 qjRp
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ]Wc 2$  
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral V/8yW3]Xy  
coefficients: probability assessment method ……………………….…………...63 SU4~x0  
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter *%dWNvN4X  
variations ………………………………………………………………………...66 r
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ={nuz-3  
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 >&|/4`HSB  
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 2J7JEv|  
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 kJ0otr2P  
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 1c $iW>0K  
central wavelength ………………………………………………………………80 <gSZ<T  
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 gk"J+u
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 -axmfE?g0  
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ;4(FS  
wavelength ………………………………………………………………………88 28o!>*  
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 _MGhG{p7t  
Chapter 2 (a8oI)~  
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 uX,ln(9I*H  
2.1 Synthesis methods based on merit function optimization …………………………...98 5?MKx!%  
2.1.1 Merit function selection …………………………………………………………98 mvBUm-X  
2.1.2 Merit function optimization ……………………………………………………101 :sekMNM  
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 tP/R9Ezp  
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 gx6$:j;  
2.2.1 Needle-like variations of the refractive index ………………………………….115 xW'(]Z7_  
2.2.2 The principal idea of the method ………………………………………………119 n]%yf9,w  
2.2.3 Description of the method ……………………………………………………...124 4Yl:1rz  
Bibliography …...………………………………………….……………….………..……130

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Basics of OPTICS OF MULTILAYER SYSTEMS Q'S"$^~{  
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OPTICS OF MULTILAYER

OPTICS OF MULTILAYER

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