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Basics of OPTICS OF MULTILAYER SYSTEMS ]IX6>p,  
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Contents #jY\l&E  
Preface……………………………………………………………………….………..……….4 8:W,""  
Chapter 1 *g0}pD;r  
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: AH*{Bi[vX  
THEORY……………………………………………………………………………………….5 4k}3^.#  
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 BGk>:Z`  
1.1.1 Layered medium electromagnetic field equations………………………………...5 /-Saz29f^Q  
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Gk"o/]Sf  
1.1.3 The Fresnel formulas ……………………………………………………………18 t(<^
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the N(*Xjy+PX  
layered medium…………………………………………………………………..19 m 2tw[6M  
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 aQ@9(j> F  
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 "Jd!TLt\x  
1.2.1 Matrix calculating method ………………………………………………………22 *t_"]v-w  
1.2.2 Description of optical coating and presentation of calculation results…………..28 /g|H?F0  
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 #Az#dt]H  
1.2.4 Approximate formulas…………………………………………………………...33 BQX6Q<  
1.2.5 Other recurrent methods…………………………………………………………34 Yd}Jz  
1.2.6 The admittance phase plane……………………………………………………...38 u\L=nCtLby  
1.3 Some common properties of multilayer coatings…………………………………….46 <Mdyz!  
1.3.1 The relation between the characteristic matrix and spectral coefficients of a KyQO>g{R  
multilayer coating ……………………………………………………………….47 .9":Ljs(L  
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 87QK&S\  
1.3.3 Transmittance and reflectance of the combination of two multilayer z]/;?  
subsystems ……………………………………………………………………....54 zWN/>~}U\  
1.4 The multilayer coatings optical properties: impact of variations in the layer x2q6y  
parameters……………………………………………………………………………...58 ;m/h?Y~  
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 4CUoXs'  
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral yH\3*#+  
coefficients: probability assessment method ……………………….…………...63 hDO\Q7  
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ,r=9$i_  
variations ………………………………………………………………………...66 _J|TCm  
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 li!3bv  
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 VnZRsFY<^  
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 l|, Hj  
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 kTC'`xv  
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the <)hA?3J  
central wavelength ………………………………………………………………80 3K8#,TK3  
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 +"sjkdum1  
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 4trP*u,4  
1.6.1 Common expressions for spectral coefficients of filter-type systems near central HDmjt+3&n  
wavelength ………………………………………………………………………88 3YKJN4  
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 pUGFQ."\  
Chapter 2 LB(I^  
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 J^!2F}:  
2.1 Synthesis methods based on merit function optimization …………………………...98 ,M4G_U[  
2.1.1 Merit function selection …………………………………………………………98 > whcZ.8  
2.1.2 Merit function optimization ……………………………………………………101 UR3qzPm!0e  
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 r JvtE}x1  
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 3MmpB9l#H  
2.2.1 Needle-like variations of the refractive index ………………………………….115 _H,xnh#nZ  
2.2.2 The principal idea of the method ………………………………………………119 S.<aCN<@  
2.2.3 Description of the method ……………………………………………………...124 )bd)noZi  
Bibliography …...………………………………………….……………….………..……130

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OPTICS OF MULTILAYER

OPTICS OF MULTILAYER

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