Basics of OPTICS OF MULTILAYER SYSTEMS S ? }@2[
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Contents `j59MSuK
Preface……………………………………………………………………….………..……….4 \jdp L1
Chapter 1 ba?]eK
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Fc;)p88[
THEORY……………………………………………………………………………………….5 6 m 5 \f
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 <!\J([NM8
1.1.1 Layered medium electromagnetic field equations………………………………...5 JF >mybB
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 =;{vfjj
1.1.3 The Fresnel formulas ……………………………………………………………18 a#=GL B_P(
1.1.4 Other ways of determining amplitude transmittance and reflectance of the w+ cI0lj
layered medium…………………………………………………………………..19 V(3udB@K
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 * xs8/?
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 {Ex0mw)T
1.2.1 Matrix calculating method ………………………………………………………22 |52VHW8 c
1.2.2 Description of optical coating and presentation of calculation results…………..28 $S$%a vRX
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 G! uQ|<(
1.2.4 Approximate formulas…………………………………………………………...33 '}c0:,5
1.2.5 Other recurrent methods…………………………………………………………34 bQk5R._got
1.2.6 The admittance phase plane……………………………………………………...38 AZ5c^c)
1.3 Some common properties of multilayer coatings…………………………………….46 E' LkoyI
1.3.1 The relation between the characteristic matrix and spectral coefficients of a #jV6w=I
multilayer coating ……………………………………………………………….47 T7YzO,b/
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 kImGSIJ
1.3.3 Transmittance and reflectance of the combination of two multilayer ushQWP)
subsystems ……………………………………………………………………....54 R|{6JsjG10
1.4 The multilayer coatings optical properties: impact of variations in the layer 3G t'<E| "
parameters……………………………………………………………………………...58 ]?U:8 %
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… H BmjB=
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Z94D<X"
coefficients: probability assessment method ……………………….…………...63 =5_8f
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 4qjY,QJ
variations ………………………………………………………………………...66 6^['g-\2
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 dL")E|\\k
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Dw{C_e
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 cGC&O%`i,\
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 _y `'T;~OY
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the |mrAvm}
central wavelength ………………………………………………………………80 0; OpT0
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 v}-'L#6
1.6.1 Common expressions for spectral coefficients of filter-type systems near central @ky5X V
wavelength ………………………………………………………………………88 k+-u 4W
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 XLFJ?$)Tro
Chapter 2 [kz <2P
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 x&)P)H0vn
2.1 Synthesis methods based on merit function optimization …………………………...98 |U$oS2U\m
2.1.1 Merit function selection …………………………………………………………98 T:wd3^.CG
2.1.2 Merit function optimization ……………………………………………………101 9n!3yZVSe
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 VX&KG G.6
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 *8"5mC ;"
2.2.1 Needle-like variations of the refractive index ………………………………….115 <H)h+?&~d
2.2.2 The principal idea of the method ………………………………………………119 $K \\ 8$Z
2.2.3 Description of the method ……………………………………………………...124 Qd]-i3^0
Bibliography …...………………………………………….……………….………..……130
