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Basics of OPTICS OF MULTILAYER SYSTEMS 6g-Q  
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Contents /7fD;H^*  
Preface……………………………………………………………………….………..……….4 N!~5S`  
Chapter 1 kc7,F
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SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: L']"I^(N  
THEORY……………………………………………………………………………………….5 xh:A*Z
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 oB$c-!&  
1.1.1 Layered medium electromagnetic field equations………………………………...5 \n>7T*iM&  
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 uefrE53  
1.1.3 The Fresnel formulas ……………………………………………………………18 35KRJY#  
1.1.4 Other ways of determining amplitude transmittance and reflectance of the V]5MIiNl  
layered medium…………………………………………………………………..19 $}8@?>-w  
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 >n"4M~I  
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Aryp!oW  
1.2.1 Matrix calculating method ………………………………………………………22 rX}FhBl5  
1.2.2 Description of optical coating and presentation of calculation results…………..28 ^:u-wr8?{  
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 7SJbrOL4Q-  
1.2.4 Approximate formulas…………………………………………………………...33 wM1&_%N  
1.2.5 Other recurrent methods…………………………………………………………34 C7=N
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1.2.6 The admittance phase plane……………………………………………………...38 =1+/`w  
1.3 Some common properties of multilayer coatings…………………………………….46 <]f{X<ef  
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ~Z:)Y*  
multilayer coating ……………………………………………………………….47 @:Emmzucv|  
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 vI20G89E  
1.3.3 Transmittance and reflectance of the combination of two multilayer r7jh)Q;BbR  
subsystems ……………………………………………………………………....54 {`ByZB  
1.4 The multilayer coatings optical properties: impact of variations in the layer =eyPo(B  
parameters……………………………………………………………………………...58 M3VTzwuf^S  
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… <%N*IE"q  
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Sfa;;7W@R  
coefficients: probability assessment method ……………………….…………...63 hYbaVE  
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter !Bv.@~  
variations ………………………………………………………………………...66 1$)}EL  
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 "SA*  
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 U8a5rF><  
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 gx.\&W b  
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 MG,)|XpyWJ  
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the k![oJ.vHD  
central wavelength ………………………………………………………………80 q&2L@l3A  
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 7nPjeh  
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 <<PXh&wu0  
1.6.1 Common expressions for spectral coefficients of filter-type systems near central t\WU}aKML  
wavelength ………………………………………………………………………88 )4R[
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ( TJGJY  
Chapter 2 UCo`l~K)qg  
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 }U
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2.1 Synthesis methods based on merit function optimization …………………………...98 e^k)756  
2.1.1 Merit function selection …………………………………………………………98 3/ '5#$  
2.1.2 Merit function optimization ……………………………………………………101 kjF4c6v  
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 TF?~vS%@P  
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 K SJ Ko  
2.2.1 Needle-like variations of the refractive index ………………………………….115 '?Xf(6o1  
2.2.2 The principal idea of the method ………………………………………………119 5fy{!  
2.2.3 Description of the method ……………………………………………………...124 NQcNY=  
Bibliography …...………………………………………….……………….………..……130

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Basics of OPTICS OF MULTILAYER SYSTEMS &[ ,*  
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OPTICS OF MULTILAYER

OPTICS OF MULTILAYER

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