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Basics of OPTICS OF MULTILAYER SYSTEMS 3(cU)  
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Contents ocb%&m;i  
Preface……………………………………………………………………….………..……….4 HTR "m
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Chapter 1 ]J8KCjq@  
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: )Ix-5084  
THEORY……………………………………………………………………………………….5 d08`42Z69  
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 a!TBk=P  
1.1.1 Layered medium electromagnetic field equations………………………………...5 V[BY/<z)A  
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 !C9ps]6
 
1.1.3 The Fresnel formulas ……………………………………………………………18 hr)+Pk  
1.1.4 Other ways of determining amplitude transmittance and reflectance of the z }FiU
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layered medium…………………………………………………………………..19 :w?:WH?2L  
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 #i
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 6\NX
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1.2.1 Matrix calculating method ………………………………………………………22 $.suu^>^w  
1.2.2 Description of optical coating and presentation of calculation results…………..28 ] P:NnKgK  
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ~0'_K1(H  
1.2.4 Approximate formulas…………………………………………………………...33 b
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1.2.5 Other recurrent methods…………………………………………………………34 L:|X/c9r[  
1.2.6 The admittance phase plane……………………………………………………...38 h(+m<J  
1.3 Some common properties of multilayer coatings…………………………………….46 R=#q"9qz  
1.3.1 The relation between the characteristic matrix and spectral coefficients of a _QC?:mv6-  
multilayer coating ……………………………………………………………….47 0})7of  
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 v^y}lT  
1.3.3 Transmittance and reflectance of the combination of two multilayer zN?$Sxttx  
subsystems ……………………………………………………………………....54 i?1js! 8  
1.4 The multilayer coatings optical properties: impact of variations in the layer 1kz
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parameters……………………………………………………………………………...58 /8P4%[\  
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ^P3g9'WK  
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral c%xED%X9  
coefficients: probability assessment method ……………………….…………...63 '$2oSd  
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter X]3l| D  
variations ………………………………………………………………………...66 m11"i=S"  
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 xdFP$Y~ogy  
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 {UV<=R,E  
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 m2-fi*Mgg  
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 XudH
 
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Y
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central wavelength ………………………………………………………………80 mK7^:(<.LO  
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 qb>|n1F_  
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 *<|~=*Ddf  
1.6.1 Common expressions for spectral coefficients of filter-type systems near central FthXFxwx$  
wavelength ………………………………………………………………………88 6.`}&E  
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 kB$,1J$q  
Chapter 2 o1p$9PL\:  
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 :$GL.n-?  
2.1 Synthesis methods based on merit function optimization …………………………...98 ~_f |".T  
2.1.1 Merit function selection …………………………………………………………98 s&_
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2.1.2 Merit function optimization ……………………………………………………101 Hz!
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2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 >tXufzW  
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 I;Z`!u:+  
2.2.1 Needle-like variations of the refractive index ………………………………….115 e@2E0u4   
2.2.2 The principal idea of the method ………………………………………………119 8zWBXV  
2.2.3 Description of the method ……………………………………………………...124 OxmlzQ"vM  
Bibliography …...………………………………………….……………….………..……130

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OPTICS OF MULTILAYER

OPTICS OF MULTILAYER

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