Leading Scientific Fellow at VE Lashkaryov Institute of Semiconductor Physics
SPIE Involvement:
Author
Area of Expertise:
Physical optics. Photonic crystals. ,
Photonic metamaterials. Metamirror structures. ,
Channel projecting optics. Channel imaging systems. ,
All-optical signal processing. Optical computing and logical ,
Electron transport in nanostructures. Quantum molecular brid ,
Phonon and heat transport in nanostructures.
The ideology of a photonic crystal resonator covered with optically nonlinear layers is proposed for
binary adder and logic gates of various kinds. The all-optical way to transform a physically added sequence of signals
into the logical sequence with corresponding shift of digital units is based on the nonlinear band shift effect. In this
work, the electromagnetic field structure for optically linear 1D porous silicon photonic crystal is investigated. The
optical parameters of a 1D photonic crystal resonator built on layered porous silicon covered with a nonlinear layer are
calculated for various nonlinear materials. An approximate design of an all-optical adder based on 1D porous silicon
resonator is considered. The adder heating by powered optical pulses and energy distribution inside the device are
analyzed and the problem solution with the use of special semitransparent redirecting mirrors is proposed. It was
found that from the point of view of heating the R-scheme of signal processing is more optimal.
Photonic membranes are widely used kind of 2D photonic crystals in signal processing. We develop the
approach uniting both in-plane and out-of-plane geometries as well as resonator properties of membrane-like
photonic crystals (MPC). The resonator standing modes are excited by an external source through the special
inputs and may be controlled due to nonlinear coating. We study typical 1D and 2D photonic membrane
resonators of rectangular form with nonlinear inclusions as an important element of logical devices. The drastic
change of the reflectivity due to so-called nonlinear band shift effect is investigated and two main signal
processing schemes are analyzed for Si/SiO2 MPC covered with nonlinear doped glasses. General design of alloptical
logic gates and adder design are discussed. Novel calculation method based on the analytical basis of
resonator's eigenstates is used to obtain dependencies for reflectivity, modal spectrum and field distribution for
chosen working frequencies.
The photonic crystal (PhCr) sample of a proper shape can exhibit good resonator properties with extremely high
Q-factor. The resonator standing modes may be excited by an external source through the special inputs and be
controlled due to nonlinear coating. We study typical 1D and 2D photonic resonators of rectangular form with
nonlinear inclusions as an important element of logical devices. Depending on the beam intensity and chosen
working point near the photonic band edge, the reflectivity may drastically change thus performing the logic
operations. The seeming nonlinear band shift effect arises in linear PhCr's total internal reflection area due to
nonlinear covering layer. Two main signal processing schemes exist in logic devices made on the base of
photonic resonators. We analyze theoretically the resonator parameters for CdS/CdSe and CdS/SiO2 photonic
crystals covered with nonlinear doped glasses and preferring processing scheme for IR wavelengths. General
design of logic gates and adder design are discussed. Novel calculation method based on 1D resonator's
eigenstates analytical basis is used to obtain 2D spectrum.
A new kind of metamaterials based on hierarchically organized mirror channels with semitransparent
walls, metamirror structures (MMS) is investigated theoretically and experimentally. Unusual optical properties
of MMS like back reflection, negative refraction and some others are close to that exhibited by left-handed
materials though the physical mechanisms are different. Being mechanically solid materials due to relatively
small cell sizes (from one to tens microns), the MMS may have abnormal optical properties in wide wavelength
range. The ray tracing is considered for different MMS geometries and types. It is shown that one reflection 2D
MMS's based on rectangular elementary cells being properly curved possess lens properties and MMS lens
generalized law is derived. Also, the MMS membranes may serve as filters of radiation both in reflection and
transmission.
The perturbation theory (PT) for electromagnetic eigenwaves in finite-finite 2D metamaterials is developed. A
simple procedure to find the essential part of full solution for electromagnetic field 2D photonic crystals (PhCr)
is proposed. The existance of PT small parameter for electromagnetic modes in finite 2D PhCr is proven if sizes
are sufficiently big. The spectrum and amplitude distribution for several types of 2D states: band, waveguide,
surface and pure local states are considered for PhCr binary samples counting several hudred elementary cells in
both directions. Ways of controlled field redistribution inside the structure are analyzed for glass, silicon and
silicon-glass 2D PhCr.
Switching effect based on controlled field redistribution inside the structure is analyzed for
glass, silicon and Si/SiO2 linear photonic crystals covered with Kerr nonlinear film. The spectrum and
amplitude distribution for several types of 1D states: band, surface and pure local states are for Si/SiO2
photonic structures are studied. The nonlinear shift of bandgap position in Si/SiO2 linear photonic
crystals covered with Kerr nonlinear film is investigated. Two schemes of all-optical signal processing
are considered.
In our work, we investigate photonic bandgap (PBG) structures coated by nonlinear covering as systems that are of
interest for possible applications in the all-optical adders and logical gates. Two principal schemes of an all-optical adder
based on the 1D PBG materials containing optically nonlinear layers are discussed. It is shown that the only nonlinear
layer covering linear photonic crystal gives effective signal control and signal processing. Theoretical estimations of the
adder cell parameters are made for Si/SiO2 photonic crystals covered with layers made from nonlinear doped glasses.
The calculated angular-frequency diagrams exhibited extremely sensitive areas inside the total reflection range, where
the weak nonlinearity leads to dramatic change in light reflection and transmission.
The idea of image formation using a new kind of metamaterials based on hierarchically organized mirror channels with semitransparent walls, metamirror structures (MMS) is analyzed. In case the MMS's have relatively small cell sizes from one to tens microns they are mechanically solid materials having abnormal optical properties in wide wavelength region beginning with visual and even near infrared wavelengths up to hard UV and soft X-ray diapason. The ray transmission and reflection is considered for various MMS geometries and types. It is shown that one-step reflection 2D MMS's based on rectangular elementary cells being properly curved possess lens properties and MMS lens generalized law is derived. Properties of a mirror lens prototype with finite meta-focus position made from one layer 2D and 3D MMS with reflecting walls are evaluated theoretically. Micro-machine mirror systems and modified macroporous structures are discussed as mirror lens devices.
In our work, we considered theoretically 1D and 2D photonic bandgap (PBG) systems containing nonlinear
covers with short response time in femtosecond area. The short signal passing through the PBG system the
angular total reflection area was calculated by FDTD, transfer matrix and perturbation theory methods. The
photonic structure vs intensity behaviour was investigated for a few systems consisting of periodically layered
structures covered with an optically nonlinear material. Theoretical estimations of the logical gate parameters
were made for linear 2D Si-SiO2 , Si-air and Ge-Se photonic crystals covered with the nonlinear doped glass. It
was shown that the beam angular-frequency diagrams contain extremely sensitive areas inside the total reflection
range, where the weak nonlinearity leads to dramatic change in light reflection and transmission. Two principal
schemes of all-optical logical devices were analyzed and possible applications in all-optical adders and logical
gates were discussed.
We propose two principal schemes of all-optical adders and logical gates based on the dependence of
electromagnetic spectra in photonic bandgap materials containing optically nonlinear layers on the light signal
intensity. The photonic structure behavior with changing intensity is investigated for system consisting of
periodical layered structure covered with optically nonlinear material. The theory of photonic band and local
states dynamics is developed for linear 1D and 2D Si-SiO2 and Ge-Se photonic crystals coated with the nonlinear
doped glass. It is shown that the beam angular-frequency diagrams contain extremely sensitive areas inside the
total reflection range, where the weak nonlinearity leads to dramatic change in light reflection and transmission.
An overview of suitable nonlinear materials and PBG structures is made to evaluate logical device parameters
for different frequencies of laser sources.
Optical properties of a new kind of metamaterials based on hierarchically organized mirror channels
with semitransparent walls, metamirror structures (MMS) are considered. Despite the difference in physical
mechanisms, some properties of MMS i.e. transmission and reflection are close to that exhibited by left-handed
materials. The ray tracing is considered for different MMS geometries and types. It is shown that one-step
reflective 2D MMS based on rectangular elementary cells being properly curved possess lens properties and
MMS lens generalized law is derived. Properties of a mirror lens prototype with the finite meta-focus position
made from one layer 2D MMS with reflecting walls are evaluated theoretically and experimentally. Micro-machine
mirror systems and modified macroporous structures are discussed as mirror lens devices.
The study is devoted to closed and transferred electromagnetic field in one-dimensional both transparent photonic crystals and crystals containing layers which absorb irradiation alternated by transparent layers. General theory of irrdiation closed inside the crystal is developed both in case transparent and adsorbing metallic photonic crystals in wide frequency range. True or absolute photonic gaps existing in the total reflection angle range are analyzed on the base of internal problem's analytical solution for 1D layered superlattices. We have investigated the frequency-angle diagrams for TM and TE photonic spectra trapped inside the whole reflection range for mesoscopic and macroscopic hierarchical 1D photonic crystals of varied topologies, geometry and materials. The effects of double refraction in binary multi-layered system and photon localization in finite periodic layered structures are investigated analytically and numerically. Energy storage and energy decay time in photonic crystals are considered with account for field amplitudes distribution inside the structure and angular band kinetics. The effect of sharp focusing of the butt-end emission for closed electromagnetic waves in 1D photonic crystals is discussed.
The system of one-dimensional photonic crystals combined with fiber waveguides, splitters and amplifiers is proposed as an optical binary signal's adder. We consider two or more angle distributed many-positional external binary signals hitting into the photonic crystal through the fiber entrances. Such kind of entrance construction due to spherical end of fiber allows external illumination to penetrate directly inside the range of total intrinsic reflection and populate photonic eigenmodes. Each component of complex signal hits into the 1D crystal at a fixed angle corresponding to mode angle at given frequency. The output sum signal is distributed onto the same fibers' angles. Physical principles and parameters of sub-picosecond infrared fiber-photonic processor are discussed.
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