Basics of OPTICS OF MULTILAYER SYSTEMS Sq#AnD6To
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Contents }sy^e d
Preface……………………………………………………………………….………..……….4 \"]KF8c^_
Chapter 1 ;v#BguM
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Y.}"<{RQ
THEORY……………………………………………………………………………………….5 &%@e6..E x
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ++9?LH4S4
1.1.1 Layered medium electromagnetic field equations………………………………...5 W=E+/ZvPt
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Q#k Sp 8
1.1.3 The Fresnel formulas ……………………………………………………………18 PjwDth
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the @wvgMu
layered medium…………………………………………………………………..19 |uUGvIsXn
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 RIC\f_Dv
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 o7gY j\
1.2.1 Matrix calculating method ………………………………………………………22 Za[ ?CA
1.2.2 Description of optical coating and presentation of calculation results…………..28 ^$F Nu~ |K
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 0H$6_YX4 A
1.2.4 Approximate formulas…………………………………………………………...33 7Sha u%2C
1.2.5 Other recurrent methods…………………………………………………………34 _\/KI
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1.2.6 The admittance phase plane……………………………………………………...38 7pllz y
1.3 Some common properties of multilayer coatings…………………………………….46 bEQy5AX
1.3.1 The relation between the characteristic matrix and spectral coefficients of a P}`|8b1W
multilayer coating ……………………………………………………………….47 `i!BXOOV{
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 /D d.C<F
1.3.3 Transmittance and reflectance of the combination of two multilayer #}PQ !gZ
subsystems ……………………………………………………………………....54 A&?8 r c
1.4 The multilayer coatings optical properties: impact of variations in the layer 5taR[ukM
parameters……………………………………………………………………………...58 R"wBDWs
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… uOQ!av2"Rf
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral *|gY7Av*
coefficients: probability assessment method ……………………….…………...63 ]QU
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter |~K 5 ]
variations ………………………………………………………………………...66 n%faD
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 -R]Iu\
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 V),wDyi
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 GyC/39<P
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 TS_5R>R3
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the !1 b}M/Wx
central wavelength ………………………………………………………………80 I`~Giz7@
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 f]pHJVgFV
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 cp:U@Nh(
1.6.1 Common expressions for spectral coefficients of filter-type systems near central lG lh/ B%
wavelength ………………………………………………………………………88 'fK3L<$z#m
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 _2- fH
Chapter 2 Z5j\ M
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 /3`yaYkSh
2.1 Synthesis methods based on merit function optimization …………………………...98 x/p X?k
2.1.1 Merit function selection …………………………………………………………98 *M? [Gro/
2.1.2 Merit function optimization ……………………………………………………101 u Gmv`R_
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 m
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 H|Y*TI2vf8
2.2.1 Needle-like variations of the refractive index ………………………………….115 `<3%`4z/
2.2.2 The principal idea of the method ………………………………………………119 /Hs\`Kg"!
2.2.3 Description of the method ……………………………………………………...124 Iq0[Kd0.j
Bibliography …...………………………………………….……………….………..……130
