Basics of OPTICS OF MULTILAYER SYSTEMS ~]C m
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Contents #n6<jF1G
Preface……………………………………………………………………….………..……….4 e> Q_&6L
Chapter 1 uBA84r%{QQ
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: gvy c(d
THEORY……………………………………………………………………………………….5 B^lm'/,@
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 &pEr;:E
1.1.1 Layered medium electromagnetic field equations………………………………...5 xSL%1>MrN
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ctT6va
1.1.3 The Fresnel formulas ……………………………………………………………18 K [M[0D
1.1.4 Other ways of determining amplitude transmittance and reflectance of the v|#}LQZ
layered medium…………………………………………………………………..19 B,avI&7M;S
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 Fpckb18}(O
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ?n9?`8a#
1.2.1 Matrix calculating method ………………………………………………………22 | x/Z
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1.2.2 Description of optical coating and presentation of calculation results…………..28 *WK0dn
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 q&0I7OV
1.2.4 Approximate formulas…………………………………………………………...33 h?+bW'm
1.2.5 Other recurrent methods…………………………………………………………34 " twq#Alx
1.2.6 The admittance phase plane……………………………………………………...38 1jkMje
1.3 Some common properties of multilayer coatings…………………………………….46 WJF#+)P:Y
1.3.1 The relation between the characteristic matrix and spectral coefficients of a D/Hob
multilayer coating ……………………………………………………………….47 ;nZN}&m
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 L6f$I D:
1.3.3 Transmittance and reflectance of the combination of two multilayer 5@< D6>6
subsystems ……………………………………………………………………....54 VtzX I2.2
1.4 The multilayer coatings optical properties: impact of variations in the layer :8 jaW?~
parameters……………………………………………………………………………...58 ~|. vz!A
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 1Aw/-FxJ
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral VmTPE5d
coefficients: probability assessment method ……………………….…………...63 PHv0^l]B
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 1k?k{Ri
variations ………………………………………………………………………...66 -$+`v<[r
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 3PgiV%]
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 0
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 =#K$b *#
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 g1B[RSWv
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 5&N55? G6
central wavelength ………………………………………………………………80 <j^bk"l p
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 5f Dnr&DR
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 1:VbbOu->V
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 0VBbSn}Z<
wavelength ………………………………………………………………………88 yx&'W_Q@
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 P8=!/L2?
Chapter 2 V Mb r@9
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 OjRJyhzS*
2.1 Synthesis methods based on merit function optimization …………………………...98 YMfjTt@ Q
2.1.1 Merit function selection …………………………………………………………98 )MlT=k6S
2.1.2 Merit function optimization ……………………………………………………101 b%"Lwqd r7
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Nv U~? WN
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ,sln 0
2.2.1 Needle-like variations of the refractive index ………………………………….115 6|AD]/t^K
2.2.2 The principal idea of the method ………………………………………………119 N]iu
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2.2.3 Description of the method ……………………………………………………...124 !i77v,
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Bibliography …...………………………………………….……………….………..……130
