Basics of OPTICS OF MULTILAYER SYSTEMS y O,J gn
bbDm6,
Contents oK$Krrs0&
Preface……………………………………………………………………….………..……….4 VT=gb/W6)a
Chapter 1 5?([jAOf
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: w.#z>4#3-
THEORY……………………………………………………………………………………….5 '2|P- /jU
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 _6'@#DN
1.1.1 Layered medium electromagnetic field equations………………………………...5 c27(en(
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 .rnT'""i<5
1.1.3 The Fresnel formulas ……………………………………………………………18 (h g6<`
1.1.4 Other ways of determining amplitude transmittance and reflectance of the .w'b%M
layered medium…………………………………………………………………..19 OK YbEn#
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 leI ]zDk=
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 DbX7?Jr
1.2.1 Matrix calculating method ………………………………………………………22 S\Le;,5Z
1.2.2 Description of optical coating and presentation of calculation results…………..28 He}?\C
Bo
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 o=K9\ l
1.2.4 Approximate formulas…………………………………………………………...33 A|YgA66M
1.2.5 Other recurrent methods…………………………………………………………34 'cQ,;y
1.2.6 The admittance phase plane……………………………………………………...38 %[M0TE=J
1.3 Some common properties of multilayer coatings…………………………………….46 ^:}C,lIrG
1.3.1 The relation between the characteristic matrix and spectral coefficients of a n&zEY CSI
multilayer coating ……………………………………………………………….47 S8v?H|r m
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 R. F l5B
1.3.3 Transmittance and reflectance of the combination of two multilayer 1i_%1Oip
subsystems ……………………………………………………………………....54 5X>~3 9(r
1.4 The multilayer coatings optical properties: impact of variations in the layer #y[omla8
parameters……………………………………………………………………………...58 @^ *62
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… @+S r~:K
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 78~/1-
coefficients: probability assessment method ……………………….…………...63 c~;V vYu
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ( @qS
variations ………………………………………………………………………...66 b{{ H@LTW
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 /e^) *r
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 vq O#Z
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 HavlN}h
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ~I%164 B+/
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ~(huU W
central wavelength ………………………………………………………………80 pV;0Hcy
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 x(R;xB
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Cc,V ]
1.6.1 Common expressions for spectral coefficients of filter-type systems near central -.ZP<,?@F
wavelength ………………………………………………………………………88 ,J-|.ER->
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 j3T)gFP
Chapter 2 ,4 _H{+M
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 kv, !"<
2.1 Synthesis methods based on merit function optimization …………………………...98 yXv@yn
2.1.1 Merit function selection …………………………………………………………98 1#Hr {&2
2.1.2 Merit function optimization ……………………………………………………101 v+`'%E
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 \~(kGE--+
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 +zq"dj_
2.2.1 Needle-like variations of the refractive index ………………………………….115 0Q?%B6g$m[
2.2.2 The principal idea of the method ………………………………………………119 aR('u:@jHi
2.2.3 Description of the method ……………………………………………………...124 (_CvN=A
Bibliography …...………………………………………….……………….………..……130
