Basics of OPTICS OF MULTILAYER SYSTEMS X*9N[#wu6
hUT^V(
Contents r -q3+c^+
Preface……………………………………………………………………….………..……….4 6 %\Q*r*N
Chapter 1 4]aiT8 ))
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: #3Ej0"A@-B
THEORY……………………………………………………………………………………….5 7.e7Fi{
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 8hK P
1.1.1 Layered medium electromagnetic field equations………………………………...5 B F@5&>E
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 VwOG?5W/
1.1.3 The Fresnel formulas ……………………………………………………………18 bH\C5zt6(
1.1.4 Other ways of determining amplitude transmittance and reflectance of the E<<p_hX8R
layered medium…………………………………………………………………..19 B?#k W!wj
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ^K.u
~p
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 =%3b@}%HqS
1.2.1 Matrix calculating method ………………………………………………………22 QOV}5 0
1.2.2 Description of optical coating and presentation of calculation results…………..28 N=T.l*8
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 2\nN4WL
5.
1.2.4 Approximate formulas…………………………………………………………...33 Rj} o4s2x
1.2.5 Other recurrent methods…………………………………………………………34 2T@L{ ql
1.2.6 The admittance phase plane……………………………………………………...38 k]Alp;hVd
1.3 Some common properties of multilayer coatings…………………………………….46 rXY ;m-
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Z%+BWS3YqY
multilayer coating ……………………………………………………………….47 `D)Lzm R
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 nJl eef9
1.3.3 Transmittance and reflectance of the combination of two multilayer | /;U)M
subsystems ……………………………………………………………………....54 %0yS98']g
1.4 The multilayer coatings optical properties: impact of variations in the layer 1^L`)Up
parameters……………………………………………………………………………...58 p"[O#*p
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… dCZ\ S91q
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral @q&|MML t
coefficients: probability assessment method ……………………….…………...63 =9pw uH
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter G` , u40a
variations ………………………………………………………………………...66 79SqYe=&uy
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 n w0L1TP/J
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 (S
k#x
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ,M) k7t :
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 wqlcLIJPR
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the BrJ
o!@<
central wavelength ………………………………………………………………80 aXdf>2c{JD
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 OGJ=VQA
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 [dj5 $l|
1.6.1 Common expressions for spectral coefficients of filter-type systems near central X"[dQ_o
wavelength ………………………………………………………………………88 6ORY`Pe7P|
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 Mlv<r=E
Chapter 2 =s'X R@
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 4E=0qbt8
2.1 Synthesis methods based on merit function optimization …………………………...98 a-]hW=[
2.1.1 Merit function selection …………………………………………………………98 'aD6>8/Hj
2.1.2 Merit function optimization ……………………………………………………101 +7Yu ^&
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 e,f ;
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 {r={#mO;p
2.2.1 Needle-like variations of the refractive index ………………………………….115 l80bHp=
2.2.2 The principal idea of the method ………………………………………………119 =- $!:W~
2.2.3 Description of the method ……………………………………………………...124 Bx(yu'g|a
Bibliography …...………………………………………….……………….………..……130
