Basics of OPTICS OF MULTILAYER SYSTEMS "i;*\+ x
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Contents 1"87EP
Preface……………………………………………………………………….………..……….4 P# M<CG9
Chapter 1 gME:\ud$
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: c~Q`{2%+
THEORY……………………………………………………………………………………….5 >EPaZp6
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Cf8R2(-4
1.1.1 Layered medium electromagnetic field equations………………………………...5 LGdf_M-f
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 &@Ji+
1.1.3 The Fresnel formulas ……………………………………………………………18 :Map,]]B_
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 2b vYF ;<r
layered medium…………………………………………………………………..19 6"#Tvj~-8
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 B)LXxdkOn
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 *GY,h$ Ul
1.2.1 Matrix calculating method ………………………………………………………22 y"{UN M|R
1.2.2 Description of optical coating and presentation of calculation results…………..28 dW] Ej"W
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 9
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1.2.4 Approximate formulas…………………………………………………………...33 -0[>} !l=G
1.2.5 Other recurrent methods…………………………………………………………34 c;A
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1.2.6 The admittance phase plane……………………………………………………...38 ]7Xs=>"Iw
1.3 Some common properties of multilayer coatings…………………………………….46 U/~Zk@3j
1.3.1 The relation between the characteristic matrix and spectral coefficients of a |G5=>W
multilayer coating ……………………………………………………………….47 c{ r6a=C
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 {ILQ
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1.3.3 Transmittance and reflectance of the combination of two multilayer Xqq?S
subsystems ……………………………………………………………………....54 @idp8J [td
1.4 The multilayer coatings optical properties: impact of variations in the layer oWn_3gzw;
parameters……………………………………………………………………………...58 W"DxIy
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… oD|+X/F K
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral m''iE
coefficients: probability assessment method ……………………….…………...63 J0{WqA.P
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter $ET/0v"V
variations ………………………………………………………………………...66 rSzXa4m(
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ~=aI2( b
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 )@};lmPR
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 YV>VA<c
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the _16 &K}<
central wavelength ………………………………………………………………80 9fk\Ay1P
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 +=lcN~U2
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Ix l"'Q_z
1.6.1 Common expressions for spectral coefficients of filter-type systems near central LP-KD
wavelength ………………………………………………………………………88 uc{Qhw!;:
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 m/"=5*pA
Chapter 2 [~&:`I1
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 pu
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2.1 Synthesis methods based on merit function optimization …………………………...98 7Ohu$5\
2.1.1 Merit function selection …………………………………………………………98 &Cn9
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2.1.2 Merit function optimization ……………………………………………………101 2+hfbFu,1
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Hr64M0V3B
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 TPmZ/c^
2.2.1 Needle-like variations of the refractive index ………………………………….115 LxYM "_1A;
2.2.2 The principal idea of the method ………………………………………………119 k}owEBsn}
2.2.3 Description of the method ……………………………………………………...124 H;"N|pBy
Bibliography …...………………………………………….……………….………..……130
