Basics of OPTICS OF MULTILAYER SYSTEMS q}Q G<%VR
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Contents "SMJ:g",
Preface……………………………………………………………………….………..……….4 >=0]7k;
Chapter 1 5?^#v
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: vxZ' -&;t
THEORY……………………………………………………………………………………….5 E<jajYj
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 #NFB=o JI
1.1.1 Layered medium electromagnetic field equations………………………………...5 4gen,^ Ij
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ~]-n%J $q
1.1.3 The Fresnel formulas ……………………………………………………………18 \ ivxi<SR
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ;M.Q =#;E
layered medium…………………………………………………………………..19 v Z9OJrF
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 zcP=+Y)YA
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 O.+J%],
1.2.1 Matrix calculating method ………………………………………………………22 dy_Uh)$$|g
1.2.2 Description of optical coating and presentation of calculation results…………..28 'J OCL0FP
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 #%[;v K
1.2.4 Approximate formulas…………………………………………………………...33 K;6#v%
1.2.5 Other recurrent methods…………………………………………………………34 Q'n+K5&p
1.2.6 The admittance phase plane……………………………………………………...38 ],weq s
1.3 Some common properties of multilayer coatings…………………………………….46 zpwoK&T+
1.3.1 The relation between the characteristic matrix and spectral coefficients of a A;L
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multilayer coating ……………………………………………………………….47 A&M_ J
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 2 q4p-
1.3.3 Transmittance and reflectance of the combination of two multilayer t)&U'^
subsystems ……………………………………………………………………....54 a>OYJe
1.4 The multilayer coatings optical properties: impact of variations in the layer Br!; Ac&N
parameters……………………………………………………………………………...58 <mFDC?j
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… YD[HBF)~j
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral +E</A:|}S
coefficients: probability assessment method ……………………….…………...63 *V kaFQZ$,
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter vi}16V84l
variations ………………………………………………………………………...66 U\P4ts
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 )9n W `d+
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 dNgA C){w
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 s>/Xb2 \
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 b1?^9c#0 d
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Sh(ys*y>
central wavelength ………………………………………………………………80 + Tp % *
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 c
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 M)#9Q=<
1.6.1 Common expressions for spectral coefficients of filter-type systems near central S' $;
wavelength ………………………………………………………………………88 }!_z\'u
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 _]zX W
Chapter 2 @4y?XL(n
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 F- -g?Q^
2.1 Synthesis methods based on merit function optimization …………………………...98 v ;\cM/&5
2.1.1 Merit function selection …………………………………………………………98 "<=4]Z
2.1.2 Merit function optimization ……………………………………………………101 Ef`'r))
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 W^8
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Da 7(jA+
2.2.1 Needle-like variations of the refractive index ………………………………….115 #//xOL3J
2.2.2 The principal idea of the method ………………………………………………119 HDV-qYD|O~
2.2.3 Description of the method ……………………………………………………...124 UDI\o1Rbp
Bibliography …...………………………………………….……………….………..……130
