Mathematical model antennas, based on modulated plazmon-polariton structures
Presents a review of development of the theory of plasmon-polariton structures and nanoantennas based on them. It shows the method for solving the problem of excitation of impedance structures, modulated by multiple periodic sequences of impulse functions by an external source of electromagnetic fie...
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| Опубліковано в: : | Вопросы атомной науки и техники |
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| Дата: | 2015 |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2015
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| Цитувати: | Mathematical model antennas, based on modulated plazmon-polariton structures / V.V. Hoblyk // Вопросы атомной науки и техники. — 2015. — № 4. — С. 70-75. — Бібліогр.: 30 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1860181210210238464 |
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| author | Hoblyk, V.V. |
| author_facet | Hoblyk, V.V. |
| citation_txt | Mathematical model antennas, based on modulated plazmon-polariton structures / V.V. Hoblyk // Вопросы атомной науки и техники. — 2015. — № 4. — С. 70-75. — Бібліогр.: 30 назв. — англ. |
| collection | DSpace DC |
| container_title | Вопросы атомной науки и техники |
| description | Presents a review of development of the theory of plasmon-polariton structures and nanoantennas based on them. It shows the method for solving the problem of excitation of impedance structures, modulated by multiple periodic sequences of impulse functions by an external source of electromagnetic field. The algorithm and the recurrence formula are proposed for the construction of mathematical models of a wide class of elements of infocommunication systems based on structures with N-fold periodicity. A comparative analysis is provided of the influence of the form of impulse sequences on the formation of spatial distribution of radiation field. Parameters for the design of nanoantennas, spatial filters, interferometers, commutators, superlenses and supercollimators have been calculated.
Запропонована теорія наноантен на основі плазмон-поляритонних структур. Наведено метод розв’язування задач збудження стороннім джерелом електромагнітного поля імпедансних структур, модульованих накладеними одна на одну періодичними послідовностями імпульсних функцій. Запропоновано алгоритм і рекурентну формулу для побудови математичних моделей широкого класу елементів інфокомунікаційних систем на основі структур з N-кратною періодичністю. Досліджено вплив форми імпульсних функцій на формування поля такими структурами.
Предложена теория наноантенн на основе модулированных плазмон-поляритонных структур. Приведён метод решения задач возбуждения сторонним источником электромагнитного поля импедансных структур, модулированных наложенными друг на друга периодическими последовательностями импульсных функций. Предложен алгоритм и рекуррентная формула для построения математических моделей широкого класса элементов инфокоммуникационных систем на основе структур с N-кратной периодичностью. Исследовано влияние формы импульсных функций на формирование поля такими структурами.
|
| first_indexed | 2025-12-07T18:02:19Z |
| format | Article |
| fulltext |
ISSN 1562-6016. ВАНТ. 2015. №4(98) 70
MATHEMATICAL MODEL ANTENNAS, BASED ON MODULATED
PLAZMON-POLARITON STRUCTURES
V.V. Hoblyk
National University “Lviv Polytechnic”, Lviv, Ukraine
E-mail: viktor_hoblyk@mail.ru
Presents a review of development of the theory of plasmon-polariton structures and nanoantennas based on them.
It shows the method for solving the problem of excitation of impedance structures, modulated by multiple periodic
sequences of impulse functions by an external source of electromagnetic field. The algorithm and the recurrence
formula are proposed for the construction of mathematical models of a wide class of elements of info-
communication systems based on structures with N-fold periodicity. A comparative analysis is provided of the in-
fluence of the form of impulse sequences on the formation of spatial distribution of radiation field. Parameters for
the design of nanoantennas, spatial filters, interferometers, commutators, superlenses and supercollimators have
been calculated.
PACS: 02.30.Rz; 52.40.Fd; 52.40.Hf.; 71.36.+C
1. INTRODUCTION
1.1. PREREQUISITES FOR DEVELOPMEN
SUBSECTIONT OF ANTENNAS BASED
OF PLASMONIC STRUCTURES
An increased interest one can observe today in the
development of the elements of infocommunication
systems based on plasmon-polariton structures [1]. This
can be explained by several reasons.
• The potential of microelectronics for solving new
problems of increasing productivity of computing
systems is running out. The inertia of electronic pro-
cesses of transfer, processing and storage of infor-
mation appeared to be an insolvable problem. Pho-
tonic processes are not inertial. Therefore, they are
coming to replace electronic processes under the
new banners: “Photonics” and “Plasmonics”.
• The theory and technological solutions for construc-
tion of the elemental base of modern infocommuni-
cation systems based on electromagnetic, including
photonic, processes were elaborated in the last cen-
tury. However, the existing technologies and the
level of manufacture in those days were not prepared
for the largescale manufacture of such systems.
• In the end of the last century and in the beginning of
this millennium key discoveries in many fields of
science and technology have been made owing to
which it became possible to study, develop and
manufacture products based on nanotechnologies on
a mass scale [2].
1.2. PLASMON-POLARITONS ASA VARIETY
OF SURFACE WAVES
Surface electromagnetic waves (SEW) as a process
that occurs at the two media interface and is guided by
that interface was first described by A. Sommerfeld in
1899 [3] and mathematically substantiated by J. Zenneck
in 1907 [4]. The first experiments with SEW in optics
were made by R. Wood in 1902 [5], and Wood anoma-
lies were explained by U. Fano [6] on the basis of the
concept of SEW (1941). These works gave an impetus
to the first wave of large-scale investigations of the pe-
culiarities of excitation and transformation of SEW
guided by two media interface [7 - 9]. The diversity of
theoretical problems being solved and the results of
their practical application in microwave and optical
wave ranges are demonstrated in a number of reviews of
the second half of the last century (Harvey [10], Miller
and Talanov [11]). The works of A.F. Chaplin,
O.N. Tereshin and their followers [12 - 23] played an
important role for the development of theory and tech-
nology of SEW antennas.
The second wave of investigations of SEW (plas-
mons) guided by the interface of nanodimensional struc-
tures emerged in the beginning of the second millenni-
um. The intensity of these investigations can be judged
from reviews of the works on SEW [24 - 26]. These
reviews cover 376 works.
Objective of this report is to present the results of
development of the theory and technology of nanoan-
tennas, based on plasmon-polariton structures with N-
fold periodicity, and the perspectives of their develop-
ment.
2. PLASMON-POLARITON STRUCTURES
WITH N-FOLD PERIODICITY
The new line of works, enveloping the works aiming
at the development of electrodynamic methods of solv-
ing the problems of excitation of structures with com-
plex impedance boundary conditions, of mathematical
and computer models for the problems of analysis and
synthesis of the construction of impedance structures,
elements of infocommunication systems based on SEW
structures and, particularly, PPS structures, was formed
in early 60's-80's of the last century [23] at Moscow
Power Engineering Institute and further developed at
Lviv Polytechnical Institute (now National University
«Lviv Polytechnic»). Over a dozen of projects have
been accomplished at the National University "Lviv
Polytechnic" to develop commercial prototypes of SEW
modulated antennas for centimetric and millimetric
waves (Fig. 1) [17 - 23]. These samples are prototypes
(macromodels) of nanoantennas based on plasmon-
polariton structures. In these structures, modulation of
construction of dielectric structures (see Fig. 1,a,b) and
structures with "artificial dielectric" rectangle structures
with "artificial dielectric" (see Fig. 1,c) with an interval
of quasi-periodic sequence (see Fig. 1,c) of rectangle
functions is used.
For the first time in such structures there has been
discovered experimentally [17] and explained theoreti-
cally [20] the effect of emission along the normal to the
ISSN 1562-6016. ВАНТ. 2015. №4(98) 71
direction of propagation of SEW fundamental spatial
harmonic. Earlier in their works Yevstropov and Ta-
lanov [8, 9] pointed at the absence of emission by such
structures along the normal to the direction of propaga-
tion of SEW fundamental harmonic ('normal effect').
a
b
c
Fig. 1. Surface-wave antennas
These works are particularly topical at present time
for the tasks of mastering the optical (nanometric)
range. However, to design superlenses, supercollima-
tors, nanoantennas, high resolution microscopes, spatial
filters, commutators, transformers of spatial harmonics
in nanometric range it is necessary to extend a great
number of laws of modulation of PPS construction pa-
rameters, investigate properties of very large arrays with
tens or hundreds of thousands of emitters [21]. To in-
vestigate electrodynamic and optical properties of such
structures in nanometric range the most affordable in
terms of economic costs are methods of mathematical
modeling. Construction of PPS mathematical models
with complex laws of modulation of their design param-
eters is based on the works of the author of the report,
accomplished during the last 30 years and continuing
development of A.F. Chaplin's works.
2.1. THEORY
Theory of nanoantennas based on modulated PPS
includes cylindrical (see Fig. 1,a), disk (see Fig. 1,b),
planar (Fig. 1,c) and other metal-dielectric structures,
whose dielectric permeability varies in compliance with
the law, resulting from overlapping of multiple periodic
sequences of impulse functions. The form of impulse
functions (IF) can be rectangular, triangular, trapezoidal
and may also have the form of Gaussian functions, half-
period cosine curve, delta function. PPS can be excited
by arbitrary distribution of external sources of electric
or magnetic currents: by filament, strip of electric cur-
rent, lattice of strips of electric or magnetic currents,
plane wave incident at an arbitrary angle in two-
dimensional problem for the plane interface between
two media. The theory of nanoantennas, rectennas, col-
limators, superlenses, interferometers, spatial harmonics
filters, super-resolution microscopes, transmission lines,
attenuators, splitters, commutators, routers, digital fil-
ters and logic elements as well as other elements of in-
focommunication systems is based on the effective
mathematical models (MM). These models have been
developed on the basis of analytical solutions with a
rigorous statement of a number of problems of electro-
magnetic excitation of PPS, one of the design parame-
ters of which (dielectric or magnetic permeability,
thickness of dielectric layer) have an N-fold periodicity.
Examples of twofold periodicity are shown in Fig. 2.
NZ
y
NZ
y
NZ
y
Fig. 2. Examples of twofold periodicity of PPS
Examples of threefold periodicity of PPS modula-
tion are shown in Fig. 3.
a
b
c
Fig. 3. Threefold periodicity of modulation
of cylindrical (a) and disk (b) PPS
2.2. DEVELOPMENT OF А.F. CHAPLIN
METHOD OF ANALYSIS OF PERIODIC
STRUCTURES
In his work [14] (1981) A.F. Chaplin published the
method of rigorous solution of the problem of excitation
of periodically heterogeneous impedance structures in
case of modulation of impedance plane by one- and
twofold periodic sequences of delta functions. A modi-
fied method of A.F. Chaplin for solving the problems of
excitation of periodically heterogeneous impedance
structures in case of modulation of impedance plane by
N-fold periodic sequences of rectangle IF similar to
delta function was presented in the work [20] (1984).
There was obtained an asymptotic solution of the prob-
lem, whose accuracy grew with the transition of rectan-
gular impulse into delta function. Solution of the prob-
lem for the case of modulation of impedance plane by
ISSN 1562-6016. ВАНТ. 2015. №4(98) 72
N-fold periodic sequences of triangular IF, similar to
delta functions was found in this paper.
2.2.1. PROBLEM STATEMENT. DERIVATION
OF FUNDAMENTAL RELATIONS
Let us assume that the infinite plane (Fig. 4) is the in-
terface between two media (1) and (2) and allows a de-
scription by impedance boundary condition (1) [11, 16]:
0)(/)()( == zxyE yHyEyZ , (1)
where Ey and Hx – components of intensity of electric
and magnetic fields. Suppose, distribution of the exter-
nal sources of the field in volume V′с with cross-section
value ),( zyS ′′ does not depend on the coordinate x,
values of surface іmpedance (SI) ZE(y) do not depend
on coordinate x. This allows to use presentation presen-
tation of the field in the upper half-space (z ≥ 0) as a
superposition of two-dimensional electric and magnetic
waves [14].
z
y
0 +∞-∞ 2
1
S(y',z')
P
( ) ( ) ( )yHyEyZ xyE
=
θ°
Fig. 4. Modulated impedance plane
Let us examine the field of electric waves
(Е-waves). We shall write impedance boundary condi-
tion (2) as the initial relation for the total field of E-
waves, consisting of the field of external sources and the
field reflected from the plane (Fig. 1), as follows [15]:
[ ]
[ ]∫
∫
∞
∞−
χ−
∞
∞−
χ−
χ
−χχ
χ+χ
χ
χ
χ−χ
ε′ω
=
d
k
eFf
deFf
iyZ yi
e
yi
e
a
E
221
1
)()(
)()(
)( , (2)
where )(χeF – spectral density of the function of dis-
tribution of external sources for E-waves; )(1 χf – spec-
tral density of reflected field; k – wave number for free
space ( λπ= /2k ); λ − wavelength; aak µ′ε′ω= 22 – gener-
alized spatial number (dimensionality rad/m); ω – circu-
lar frequency (rad/s); T/2π=ω ; T – period of source
electromagnetic oscillations; aε′ and aµ′ – medium die-
lectric and magnetic permeability; )(χeF – determined
by external field sources filling volume V′ [15]:
2 2
2 22
1( )
4
e ,
м
z y xе
a a
S
i y k z
k
j i j j
i iF
dy dzχ χ
χχ χ
ωε ωεχ
π
∋ ∋
′ ′−
± − − + →
′ ′ =
′ ′→ ∗
∫
(3)
м
x
э
y
э
z jjj ,, – the given distributions of external electric
and magnetic currents.
Analysis problem statement. Let distribution of SI
)(yZE be described by the following mathematical
model:
∑
∞
−∞=
−
+=
n
ME
ndytripulsZZyZ )()( 1
0 1 ∆
, (4)
where ∆ – IF width; d1 – sequence period of IF; n – in-
finite sequence of whole numbers;
1MZ – amplitude of
triangular IF; Z0 – SI constant component; tripuls –
plays the role of operator setting the form of triangular
IF. The law of SI distribution is presented in Fig. 5 in
the form of the graph.
y
0
( )yZE
0Z
M
Z
Δd1
2
Δ
2
Δ
−
+
Δ
dyZZ 1
M0
-tripuls
( )ΔyZZ M0 tripuls +
Fig. 5. The law of impedance distribution
It is necessary to find E-waves field in upper half-
space of plane (z y 0), that satisfies impedance boundary
condition (2).
2.2.2. SOLUTION OF FORMULATED PROBLEM
To solve the problem we shall present equation (2)
in identical form:
∫
∞
∞−
χ− =→χχξε′ω deyZi yi
Ea )()( 1
2 2
1[ ( ) 2 ( )] ,e i yk e dχχ ξ χ χ χ
∞
−
−∞
→ − − − Φ∫ (5)
where 2 2
1 1( ) ( ) ( ) ,ef F kξ χ χ χ χ χ = + −
χχ=χ )()( eFΦ . (6)
Here )(1 χξ – unknown spectral density of electric
surface currents (6), distributed along axis y. Substitute
expression (4) in (5) and apply to the derived equation
Fourier transform (FT) of the form
1( ) ( ) .
2
i yf f y e dyχχ
π
∞
−∞
= ∫ (7)
Then, applying convolution theorem to FT, we shall
proceed to the following equation:
10 1 ,
2 2
1
( ) ( )
( ) 2 ( ) ,
a a T
e
i Z i
k
ωε ξ χ ωε ξ χ
χ ξ χ χ
∆′ ′+ =→
− − + Φ
(8)
where
∑
∞
−∞=
−χξπ=χξ
1
11
)()2/(sin
2
)( 11111
1
,
n
MT Tndnc
d
Z ∆∆
∆ –
function that describes influence of modulation of SI on
the field propagating over impedance surface;
11
11
11 2/
)2/()2/(
dn
dninsdnincs
∆
∆∆
π
π
=π ; 11 /2 dT π= .
From equation (8) we shall find )(1 χξ :
)()()()( ,01 1
χξχ−χξ=χξ ∆TG , (9)
with denoted:
)(/)(2)( 00 χβχ=χξ Φ – solution of formulated problem
for the case of absence of SI modulation:
)0(
1
=MZ ; )(/)( 0 χβε′ω=χ aiG ;
0
22
0 )( Zik aε′ω+−χ=χβ . (10)
ISSN 1562-6016. ВАНТ. 2015. №4(98) 73
To determine the unknown function )(,1
χξ ∆T we
shall multiply the left and the right sides of equation (9)
by expression:
[ ]4/)(
21
∆∆
η−χincsZM
and then apply to the left and the right sides of derived
equation FT of the form:
∫
∞
∞−
χ− χχ= defdmf dim 11)(~)( 11 . (11)
The reform we shall obtain the following relation:
[ ] =→∆−
∆ −
∞
∞−
∫ χηχχξ χdecZ dim
M
11
1
4/)(sin)(
2 1
{ }∫
∞
∞−
→×χξχ−χξ→ )()()(
2 ,11 ∆
∆
T0M GZ
χη−χ→ χ− dec dim 11]4/)[(sin ∆ . (12)
Multiplying then both sides of the equation (12) by
multiplier )exp( 11 ηdim and, summing up both of these
sides by m1 from – ∞ to ∞, we proceed to equation:
∑
∞
−∞=
=→ηξ=−ηξπ
1
11
)()()2/(
2 ,11111
1 n
TM Tndnincs
d
Z ∆∆∆
{ }1 1
1
0 1 1 1 1 , 1 1
1
1 1
( ) ( ) ( )
2
sin ( / 2 ).
M T
n
Z n T G n T n T
d
c n d
ξ η η ξ η
π
∞
∆
=−∞
∆
= − − − − →
→× ∆
∑ (13)
In transition from equation (9) to equation (13) rela-
tion [15] was used:
∑∑
∞
−∞=
∞
−∞=
χ−η −χ−ηδ=
11
11 )( 111
)(
nm
dim TnTe ; 11 /2 dT π= .
Then, bearing in mind existence of the following ex-
pression
)()()(
111 ,
0
11,
0
χξ=χξ=−χξ
→→
TTT limTnlim ∆
∆
∆
∆
,
we find from equation (13) expression for the function
)(,1
χξ ∆T :
)(,
)2/(sin)(
2
)(
1
0
11110
10
1
1
1 χ
π−χξ
=χξ
→
∞
−∞=→
∑
∆
∆
∆
∆∆
Dlim
dncTn
d
Zlim
n
M
T ,
where
1
1
1
1 1 1 1 1
1
, ( ) 1 ( )sin ( / 2 ).
2
n
M
n
D Z G n T c n d
d
χ χ π
=∞
∆
=−∞
∆
= + − ∆∑ (14)
Relation (9) with formulas (14) taken into account
gives solution of formulated problem in analytical form.
1
1
1 0
0 1 1 1 1
1
1
( ) ( ) ( )
( )sin ( / 2 )
2
. (15)
, ( )
M
n
G
Z n T c n d
d
D
ξ χ ξ χ χ
ξ χ π
χ
∞
=−∞
∆
≅ − →
∆
− ∆
→∗
∑
The first term of formula (15) describes spectral density
of the field reflected from the plane with constant im-
pedance Z0. The analysis of this field can be found in
monograph [15]. The second term of formula (15) de-
scribes spectral density of the field, appearing through
the effect of periodic modulation on the fundamental
surface wave.
Modified A. Chaplin’s method was generalized in
the works [20, 21, 29, 30] for the case of electromagnet-
ic waves and more complex laws of modulation of sur-
face impedance, that represent the sum of constant
component Z0 and superimposed one on the other
N-fold periodic sequences of IF of rectangular, triangu-
lar, trapezoidal and impulses other forms without limita-
tion on their amplitude
iMZ (i= 1, 2, 3,…N) provided,
however, that the width λ<<∆ .
2.2.3. GENERALIZED SOLUTION OF THE
PROBLEM, RECURRENCE FORMULA
We shall set N-fold periodicity of triangular form
impulses, to the following ММ:
∑∑
∞
−∞== ∆
−
+=
n
i
N
i
ME
ndytripulsZZyZ
i
)()(
1
0
∏
=
=
N
i
iN pdd
1
1 , (16)
where d1 – value of the shortest period (a random
nonnegative number), pi – sequence of integers. Recur-
rence formula to construct solutions of the problems of
SEW structures excitation by a random source of the
field has the following form [20]:
→−≅ − )()()( 1 χχξχξ GNN
1
1
1 ,
1
( )sin ( / 2 )
2
,
, ( ) ( )
NM N N N N N
nN
N
m
m
Z n T c n d
d
D D
ξ χ π
χ χ
∞
−
=−∞
∆ ∆
=
∆
− ∆
→∗
∑
∏
(17)
→
∆
+=∆
N
MN d
ZD
N 2
1)(, χ
)2/(sin
)(
)(
1
,1
NN
n
N
m
NNm
NN dnc
TnD
TnG
N
∆
∆
π
−χ
−χ
∗→ ∑
∏
∞
−∞=
=
−
.
Formula (17) allows construction in a closed sym-
bolic form solution of the problem for N, provided that
the solution is known of the problem for N-1 number. It
is shown in the work [21, 22], that the obtained solu-
tions of electrodynamics problems in a given formula-
tion present a new class of branched continued fractions
with N-branches of branching with complex-valued
components. They are of special interest for the mathe-
matical theory of branching continued fractions, found-
ed by Professor V.Ya. Skorobogatko [21, 27, 28].
2.2.4. CALCULATION OF THE FIELD
OF NANOANTENNA BASED ON PLASMON-
POLARITON STRUCTURE
Let PPS be described by conditions (1) and excited
by current source (see Fig. 4) with coordinates
;0;0;0 === xyz
)0()(),(
0
−δ= y
b
xr e c tIyxj M
x
M
x . (18)
Substitution of (18) in (3), and then in (5) will pro-
duce expression of density of the function of distribu-
tion of the field external sources:
011 )4/()()(
0
Φ=−=−Φ=Φ πχχ M
xIiTn ;
)(s i n)( 202 χχ ∗Φ=Φ bc . (19)
Substitution of (19) in (15) taking into account (14)
for )(,1 χ∆D leads to ММ, describing generalized di-
rectivity diagram (DD) of the structure:
ISSN 1562-6016. ВАНТ. 2015. №4(98) 74
)()()( ,1001 χϕχϕ≅χξ ∆Φ , (20)
where 0 0 1, 1,( ) 2 / ( ), ( ) 1/ ( ), .Dφ χ β χ φ χ χ λ∆ ∆= = ∆ <<
Substitution of (20) 0s inθχ k= gives the following
expression for calculation of DD in MATLAB.
0
0
0
0 1
1
1
0 2
1 0
cos( )ˆ ( )
ˆ ˆ[cos( ) ](1 *
2
sin ( / 2 ) ).
ˆ(sin / ) 1
N
n N
E
Z Z
d
c n d
n d Z
θθ
θ
π
θ λ=−
=
∆
− − →
∆
→
− − −
∑
(21)
0 0
0
ˆ ( ) sin (sin( ) / )E c bφ φ λ= Φ ∗ .
Results of calculation of field distribution of PPS
modulated by periodic rectangular (Figs. 6, 8) and trian-
gular form (Figs. 7, 9) impulse sequences are shown
below for comparative analysis.
Fig. 6. Rectangular; λ63.0=d
Fig. 7. Triangular; λ63.0=d
Fig. 8. Rectangular; λ83.0=d
Fig. 9. Triangular; λ83.0=d
CONCLUSIONS
Analysis of the results of computer modeling of pe-
riodically heterogeneous plasmon-polariton structures
allows making the conclusion of a tremendous potential
of the modified method of A.F. Chaplin for develop-
ment of mathematical models of a wide class of surface
wave antennas, including nanoantennas, superarrays of
optical range, and numerous elements of infocommuni-
cation systems based on modulated nanodimensional
structures.
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Article received 01.06.2015
МАТЕМАТИЧЕСКИЕ МОДЕЛИ АНТЕНН НА ОСНОВЕ ПЛАЗМОН-ПОЛЯРИТОННЫХ
СТРУКТУР
В.В. Гоблик
Предложена теория наноантенн на основе модулированных плазмон-поляритонных структур. Приведён
метод решения задач возбуждения сторонним источником электромагнитного поля импедансных структур,
модулированных наложенными друг на друга периодическими последовательностями импульсных функ-
ций. Предложен алгоритм и рекуррентная формула для построения математических моделей широкого
класса элементов инфокоммуникационных систем на основе структур с N-кратной периодичностью. Иссле-
довано влияние формы импульсных функций на формирование поля такими структурами.
МАТЕМАТИЧНІ МОДЕЛІ АНТЕН НА ОСНОВІ ПЛАЗМОН-ПОЛЯРИТОННИХ СТРУКТУР
В.В. Гоблик
Запропонована теорія наноантен на основі плазмон-поляритонних структур. Наведено метод
розв’язування задач збудження стороннім джерелом електромагнітного поля імпедансних структур, моду-
льованих накладеними одна на одну періодичними послідовностями імпульсних функцій. Запропоновано
алгоритм і рекурентну формулу для побудови математичних моделей широкого класу елементів інфокому-
нікаційних систем на основі структур з N-кратною періодичністю. Досліджено вплив форми імпульсних
функцій на формування поля такими структурами.
|
| id | nasplib_isofts_kiev_ua-123456789-112231 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-6016 |
| language | English |
| last_indexed | 2025-12-07T18:02:19Z |
| publishDate | 2015 |
| publisher | Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| record_format | dspace |
| spelling | Hoblyk, V.V. 2017-01-18T19:53:20Z 2017-01-18T19:53:20Z 2015 Mathematical model antennas, based on modulated plazmon-polariton structures / V.V. Hoblyk // Вопросы атомной науки и техники. — 2015. — № 4. — С. 70-75. — Бібліогр.: 30 назв. — англ. 1562-6016 PACS: 02.30.Rz; 52.40.Fd; 52.40.Hf.; 71.36.+C https://nasplib.isofts.kiev.ua/handle/123456789/112231 Presents a review of development of the theory of plasmon-polariton structures and nanoantennas based on them. It shows the method for solving the problem of excitation of impedance structures, modulated by multiple periodic sequences of impulse functions by an external source of electromagnetic field. The algorithm and the recurrence formula are proposed for the construction of mathematical models of a wide class of elements of infocommunication systems based on structures with N-fold periodicity. A comparative analysis is provided of the influence of the form of impulse sequences on the formation of spatial distribution of radiation field. Parameters for the design of nanoantennas, spatial filters, interferometers, commutators, superlenses and supercollimators have been calculated. Запропонована теорія наноантен на основі плазмон-поляритонних структур. Наведено метод розв’язування задач збудження стороннім джерелом електромагнітного поля імпедансних структур, модульованих накладеними одна на одну періодичними послідовностями імпульсних функцій. Запропоновано алгоритм і рекурентну формулу для побудови математичних моделей широкого класу елементів інфокомунікаційних систем на основі структур з N-кратною періодичністю. Досліджено вплив форми імпульсних функцій на формування поля такими структурами. Предложена теория наноантенн на основе модулированных плазмон-поляритонных структур. Приведён метод решения задач возбуждения сторонним источником электромагнитного поля импедансных структур, модулированных наложенными друг на друга периодическими последовательностями импульсных функций. Предложен алгоритм и рекуррентная формула для построения математических моделей широкого класса элементов инфокоммуникационных систем на основе структур с N-кратной периодичностью. Исследовано влияние формы импульсных функций на формирование поля такими структурами. en Національний науковий центр «Харківський фізико-технічний інститут» НАН України Вопросы атомной науки и техники Релятивистская электроника Mathematical model antennas, based on modulated plazmon-polariton structures Математичні моделі антен на основі плазмон-поляритонних структур Математические модели антенн на основе плазмон-поляритонных структур Article published earlier |
| spellingShingle | Mathematical model antennas, based on modulated plazmon-polariton structures Hoblyk, V.V. Релятивистская электроника |
| title | Mathematical model antennas, based on modulated plazmon-polariton structures |
| title_alt | Математичні моделі антен на основі плазмон-поляритонних структур Математические модели антенн на основе плазмон-поляритонных структур |
| title_full | Mathematical model antennas, based on modulated plazmon-polariton structures |
| title_fullStr | Mathematical model antennas, based on modulated plazmon-polariton structures |
| title_full_unstemmed | Mathematical model antennas, based on modulated plazmon-polariton structures |
| title_short | Mathematical model antennas, based on modulated plazmon-polariton structures |
| title_sort | mathematical model antennas, based on modulated plazmon-polariton structures |
| topic | Релятивистская электроника |
| topic_facet | Релятивистская электроника |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/112231 |
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