Basics of OPTICS OF MULTILAYER SYSTEMS 7x9YA$IE
} 3:TPW5S
Contents <)Kjf/ x
Preface……………………………………………………………………….………..……….4 A# 1aO
Chapter 1 UkN C|#l)
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: H?40yu2m5
THEORY……………………………………………………………………………………….5 sLbz@5 4
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ABhza|
1.1.1 Layered medium electromagnetic field equations………………………………...5 F&lc8
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 WbH/K]/1)h
1.1.3 The Fresnel formulas ……………………………………………………………18 % n}fk j'
1.1.4 Other ways of determining amplitude transmittance and reflectance of the a }E8A DyC
layered medium…………………………………………………………………..19 l[G ,sq"
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 nq/xD;q
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 `k\]I |6
1.2.1 Matrix calculating method ………………………………………………………22 pI(FUoP ^
1.2.2 Description of optical coating and presentation of calculation results…………..28 /UyW&]nK
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 q*{"6"4(
1.2.4 Approximate formulas…………………………………………………………...33 Cy6[p
1.2.5 Other recurrent methods…………………………………………………………34 BqZLqGO Ku
1.2.6 The admittance phase plane……………………………………………………...38 .E;6Xx_+r
1.3 Some common properties of multilayer coatings…………………………………….46 qx0o,oZN!
1.3.1 The relation between the characteristic matrix and spectral coefficients of a N0
? O*a
multilayer coating ……………………………………………………………….47 I]SR .Yp%
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 fY%Sw7ql<
1.3.3 Transmittance and reflectance of the combination of two multilayer ] v_xEH}T
subsystems ……………………………………………………………………....54 0 SKt8pL`
1.4 The multilayer coatings optical properties: impact of variations in the layer R<UjhCvx.
parameters……………………………………………………………………………...58 l '16B^
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… w5|@vB/pj
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral vy|}\%*r~
coefficients: probability assessment method ……………………….…………...63 eA4*Be;9e
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter vMRKs#&8
variations ………………………………………………………………………...66 jHz]
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 4QI vxH
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 r456M-~
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Q ;k_q3
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 82/iVm1
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the *DNH_8m
central wavelength ………………………………………………………………80 *c3 o&-ke9
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 6@F Z,e
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 }f-rWe{gs>
1.6.1 Common expressions for spectral coefficients of filter-type systems near central p$9N}}/c
wavelength ………………………………………………………………………88 *;gi52tM
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 m9e$ZZG$
Chapter 2 q"5 2-42
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 Y(A?ib~K
2.1 Synthesis methods based on merit function optimization …………………………...98 J7cqn j
2.1.1 Merit function selection …………………………………………………………98 uwQ4RYz
2.1.2 Merit function optimization ……………………………………………………101 fZ
%ZV
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 IB;y8e,
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 \pPq ]k
2.2.1 Needle-like variations of the refractive index ………………………………….115 4P:vo $Cy
2.2.2 The principal idea of the method ………………………………………………119 J| DWT+$#Z
2.2.3 Description of the method ……………………………………………………...124 lJYv2EZ
Bibliography …...………………………………………….……………….………..……130
