Basics of OPTICS OF MULTILAYER SYSTEMS tS|gQUF17
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Contents `1;m:,9
Preface……………………………………………………………………….………..……….4 "'Bx<FA
Chapter 1 QnHb*4<
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: xLID @9Hbu
THEORY……………………………………………………………………………………….5 ,+LX.f&/8!
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 r57CyO
1.1.1 Layered medium electromagnetic field equations………………………………...5 s.VtmAH
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 M.b1=Y
1.1.3 The Fresnel formulas ……………………………………………………………18 ;h|zNx0
1.1.4 Other ways of determining amplitude transmittance and reflectance of the H?\ b
layered medium…………………………………………………………………..19 A 5U//y![{
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 9
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 r1vF/yt(
1.2.1 Matrix calculating method ………………………………………………………22 -|Z[GN:
1.2.2 Description of optical coating and presentation of calculation results…………..28 )w 3?o#@
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Y 8$Y]2
1.2.4 Approximate formulas…………………………………………………………...33 b@6hGiqx
1.2.5 Other recurrent methods…………………………………………………………34 5W%^g_I
1.2.6 The admittance phase plane……………………………………………………...38 K+2sq+ 3q
1.3 Some common properties of multilayer coatings…………………………………….46 #kho[`9
1.3.1 The relation between the characteristic matrix and spectral coefficients of a k
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multilayer coating ……………………………………………………………….47 Q7 V* ~{
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 d2cslD d
1.3.3 Transmittance and reflectance of the combination of two multilayer D jzHEqiH
subsystems ……………………………………………………………………....54 |AgdD
1.4 The multilayer coatings optical properties: impact of variations in the layer M`_RkDmy<
parameters……………………………………………………………………………...58 j`
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… F ?APDGAN
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral I[P43>F3
coefficients: probability assessment method ……………………….…………...63 W Dr C
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter | r|<cc#
variations ………………………………………………………………………...66 Q:nBx[%
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 q oA ?
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 aXOW +$,
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 I %4 )%
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ">-J+ST%
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ]6)~Sj$ 5
central wavelength ………………………………………………………………80 {DP% =4
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 .k_>
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 _BC%98:WP
1.6.1 Common expressions for spectral coefficients of filter-type systems near central `B1r+uTP~
wavelength ………………………………………………………………………88 B<V8:vOam
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 \:7G1_o
Chapter 2 7 IEG%FY
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 IF>dsAAI<
2.1 Synthesis methods based on merit function optimization …………………………...98 Nj p?/r
2.1.1 Merit function selection …………………………………………………………98 p'@| O q&
2.1.2 Merit function optimization ……………………………………………………101 sN"JVJXi
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 /"q
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 D]P_tJI
2.2.1 Needle-like variations of the refractive index ………………………………….115 \E}YtN#
2.2.2 The principal idea of the method ………………………………………………119 hN#A3FFo L
2.2.3 Description of the method ……………………………………………………...124 #L3heb& 9
Bibliography …...………………………………………….……………….………..……130
