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Basics of OPTICS OF MULTILAYER SYSTEMS 1--5ok h  
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Contents L\!Pa+Iod  
Preface……………………………………………………………………….………..……….4 ho 4~-xmN  
Chapter 1 r-=#C1eY&  
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: C4ge_u#  
THEORY……………………………………………………………………………………….5 nD|Bo 9  
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 %-> X$,Q :  
1.1.1 Layered medium electromagnetic field equations………………………………...5 FK>8(M/  
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 o[aRG7C  
1.1.3 The Fresnel formulas ……………………………………………………………18 ZxY%x/K  
1.1.4 Other ways of determining amplitude transmittance and reflectance of the E<Efxb'p  
layered medium…………………………………………………………………..19 (zte'F4  
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 7
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 bvi Y.G3  
1.2.1 Matrix calculating method ………………………………………………………22 \vsfY   
1.2.2 Description of optical coating and presentation of calculation results…………..28 bt"*@NJ$  
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 5!-'~W  
1.2.4 Approximate formulas…………………………………………………………...33 Dhv ^}m@  
1.2.5 Other recurrent methods…………………………………………………………34 0"LJ{:plz  
1.2.6 The admittance phase plane……………………………………………………...38 L~=h?C<  
1.3 Some common properties of multilayer coatings…………………………………….46 ,x&T8o/a  
1.3.1 The relation between the characteristic matrix and spectral coefficients of a k,OP*M  
multilayer coating ……………………………………………………………….47
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 K8daSvc  
1.3.3 Transmittance and reflectance of the combination of two multilayer 274F+X  
subsystems ……………………………………………………………………....54 OjFB_ N  
1.4 The multilayer coatings optical properties: impact of variations in the layer H+6+I
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parameters……………………………………………………………………………...58 /5pVzv+rm  
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Onz@A"  
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ZuH@qq\  
coefficients: probability assessment method ……………………….…………...63 ?t46TV'G  
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter S8 .1%sw  
variations ………………………………………………………………………...66 7a\at)q/y  
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 gd#+N]C_  
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 dv1Y2[  
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 gLy1*k4  
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 N"L@  
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the =*>ri  
central wavelength ………………………………………………………………80 e#BxlC  
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 9#cPEbb~  
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 clyZD`*  
1.6.1 Common expressions for spectral coefficients of filter-type systems near central C;>!SRCp  
wavelength ………………………………………………………………………88 b*Sw")#  
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 wkc)2z   
Chapter 2 L.X"wIs^  
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 '(fQtQ%  
2.1 Synthesis methods based on merit function optimization …………………………...98 j2^Vz{  
2.1.1 Merit function selection …………………………………………………………98 &!N9.e:-]  
2.1.2 Merit function optimization ……………………………………………………101 /fgy07T  
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 yI$KBx/]n  
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 k}18 ~cWM  
2.2.1 Needle-like variations of the refractive index ………………………………….115 /3#)  
2.2.2 The principal idea of the method ………………………………………………119 +7E&IK  
2.2.3 Description of the method ……………………………………………………...124 fkk&pu  
Bibliography …...………………………………………….……………….………..……130

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OPTICS OF MULTILAYER

OPTICS OF MULTILAYER

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