Basics of OPTICS OF MULTILAYER SYSTEMS @ph!3<(In,
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Contents z3jk xWAZ
Preface……………………………………………………………………….………..……….4 UqOBr2 UmG
Chapter 1 X.eOw>.
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: _&uJE&xl}
THEORY……………………………………………………………………………………….5 At'CT5=
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 @-'a{hBR
1.1.1 Layered medium electromagnetic field equations………………………………...5 "lI-/ G
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 z uV%`n
1.1.3 The Fresnel formulas ……………………………………………………………18 :\\NK/"
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 0O9b
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layered medium…………………………………………………………………..19 Vx h39eW
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 d:@+dS
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 i6WH^IQ M
1.2.1 Matrix calculating method ………………………………………………………22 Y%XF64)6
1.2.2 Description of optical coating and presentation of calculation results…………..28 |9#q7kM
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 >A$L&8'C
1.2.4 Approximate formulas…………………………………………………………...33 zm"
1.2.5 Other recurrent methods…………………………………………………………34 K(EJ`2]:r
1.2.6 The admittance phase plane……………………………………………………...38 {]k#=a4
1.3 Some common properties of multilayer coatings…………………………………….46 xB
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1.3.1 The relation between the characteristic matrix and spectral coefficients of a VJ~D.ec
multilayer coating ……………………………………………………………….47 J~m$7T3Af
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 2n:<F9^"
1.3.3 Transmittance and reflectance of the combination of two multilayer ?woL17Gt
subsystems ……………………………………………………………………....54 S&_03
1.4 The multilayer coatings optical properties: impact of variations in the layer i]v3CY|3AI
parameters……………………………………………………………………………...58 ] pn
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… !l (Vk
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral i#[8I-OtN/
coefficients: probability assessment method ……………………….…………...63 !8H0.u
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ~#r>@C
variations ………………………………………………………………………...66 9/k2 zXY
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 )A8#cY!<
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 * Gg7(cnpw
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 OS(`H5D
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 }r: "X<`
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the |+ Y-i4t
central wavelength ………………………………………………………………80 q+?&w'8
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 .U!EA0B
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 1bFZyD"
1.6.1 Common expressions for spectral coefficients of filter-type systems near central %;[D Mc/
wavelength ………………………………………………………………………88 Dvg'
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 d@Z DIy
Chapter 2 zg2d}"dV
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 x{1 v(n8+=
2.1 Synthesis methods based on merit function optimization …………………………...98 s41%A2Enh
2.1.1 Merit function selection …………………………………………………………98 =XfvPB A
2.1.2 Merit function optimization ……………………………………………………101 {7 :1F)Pj
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 /5,6 {R9
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Hn/t'D3
2.2.1 Needle-like variations of the refractive index ………………………………….115 j1_>>xB
2.2.2 The principal idea of the method ………………………………………………119 Xf4Q Lw/r
2.2.3 Description of the method ……………………………………………………...124 7X$CJ%6b
Bibliography …...………………………………………….……………….………..……130
