Basics of OPTICS OF MULTILAYER SYSTEMS RjG=RfB'V
_n!W4zwi
Contents U$6(@&P!
Preface……………………………………………………………………….………..……….4 2~W8tv0^b2
Chapter 1 Nvj KB)J
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: |&0 Cuwt
THEORY……………………………………………………………………………………….5 )gKX +'
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 u~j&g
1.1.1 Layered medium electromagnetic field equations………………………………...5 Ve|=<7%%S
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 _{0 IX
1.1.3 The Fresnel formulas ……………………………………………………………18 <FU1|
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 'Fmn lC1
layered medium…………………………………………………………………..19 v\Xy z
)
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 E9PD1ADR
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ?8@EBPpC
1.2.1 Matrix calculating method ………………………………………………………22 *d,Z ?S/
1.2.2 Description of optical coating and presentation of calculation results…………..28 PR yzUG&
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 s7na!A[
1.2.4 Approximate formulas…………………………………………………………...33 ]s^Pw>/`
1.2.5 Other recurrent methods…………………………………………………………34 d<afO?"
1.2.6 The admittance phase plane……………………………………………………...38 ]MV=@T^8#
1.3 Some common properties of multilayer coatings…………………………………….46 |C.[eHe&D
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ?wbf)fbq
multilayer coating ……………………………………………………………….47 LP5@ID2G
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 \kVi&X=q :
1.3.3 Transmittance and reflectance of the combination of two multilayer $|!@$A j
subsystems ……………………………………………………………………....54 u75(\<{
1.4 The multilayer coatings optical properties: impact of variations in the layer g , "" j`
parameters……………………………………………………………………………...58 @N+6 q O}
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 5TVA1
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral [[VB' Rs
coefficients: probability assessment method ……………………….…………...63 * odwg$
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Ox}a\B 8
variations ………………………………………………………………………...66 'mU7N<Q$qQ
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 |s*tRag
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Bq#B+JwX
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 (eF "[,z
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 j+Q E~L
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Xmaj7*f>p
central wavelength ………………………………………………………………80 '7/c7m/$X<
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 A&( $ X)t
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 #tQ__ V
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 5Ak6 q(\
wavelength ………………………………………………………………………88 '"o&B mF
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 6`sS8Ar&u
Chapter 2 =/L;}m)7
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 %L eZd}v
2.1 Synthesis methods based on merit function optimization …………………………...98 ?D`h[ai
2.1.1 Merit function selection …………………………………………………………98 t {Xf3.
2.1.2 Merit function optimization ……………………………………………………101 ,)7y? *D}
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 o<nkK+=Afm
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 t {RdqAF
2.2.1 Needle-like variations of the refractive index ………………………………….115 m #}%l3$
2.2.2 The principal idea of the method ………………………………………………119 = s$UU15
2.2.3 Description of the method ……………………………………………………...124 y9)Rl)7-:
Bibliography …...………………………………………….……………….………..……130
