scholarly journals Spectral Properties of Transmission Amplitude Gratings

2018 ◽  
Vol 1 (1) ◽  
Author(s):  
Runming Pan ◽  
Chengwei Ji ◽  
Kaifeng Cao
Keyword(s):  
Mathematical Reasoning ◽  
Monochromatic Light ◽  
Specific Expression ◽  
Spectral Pattern ◽  
One Dimensional ◽  
Transmission Amplitude ◽  
Core Components ◽  
Grating Design ◽  
Important Basis ◽  
Full Consideration

The core components of the precision instruments such as spectroscope and spectrograph is grating. And one-dimensional multi-slot transmission amplitude grating is the most simple, and its basic theory is also an important basis used as reference when perform grating design, this shows the important status of transmission amplitude grating in spectroscopy study. In this paper, the theory of Fraunhofer Diffraction in optics was used in introducing the basic conclusion and spectral pattern characteristics, with the concrete experiment the spectral pattern of transmission amplitude grating in the monochromatic light and complex light is showed, then the theoretical analysis was done by mathematical reasoning and numerical simulation, the specific expression of spectral characteristic parameters in transmission amplitude was study to confirm the effects of these parameters on the produced spectral, results show that these parameters are independently. Through these studies, we understand that in the design of gratings should pay attention to the full consideration of these parameters and how to specifically improve the performance of the grating.

On quantum scattering by δ'(x)} and quasi δ'(x) distributions

2007 ◽  
Vol 85 (9) ◽  
pp. 967-979
Author(s):  
R K Dubey ◽  
V J Menon ◽  
M K Pandey ◽  
D N Tripathi
Keyword(s):  
Quantum Scattering ◽  
Length Scale ◽  
Range Interaction ◽  
One Dimensional ◽  
Transmission Amplitude ◽  
Reflection Amplitude ◽  
Scattering Wave ◽  
Zero Range ◽  
Ordinary Point ◽  
The One

The zero-range interaction U(x) occurring in the one-dimensional, time-independent Schrödinger equation is regarded as a smoothed distribution characterized by a tiny length scale b such that the origin becomes an ordinary point. A neighbourhood around the origin is scanned by defining inner demarcation points a±≡ ±b/N and outer demarcation points b±≡ ±Nb with N >> 1. Then a sequence of simple Lemmas permits (i) construction of a systematic procedure for simultaneously solving the scattering wave function ψ(0) at the origin, its derivative ψ'(0) there, the transmission amplitude B, as well as the reflection amplitude D; and (ii) unambiguous application to scattering by the previously known δ'(x) and newly proposed quasi δ'(x) potentials in the Cauchy representation of various distributions.PACS No.: 03.65.Nk

scholarly journals Analytical and Numerical Solutions of Pollution Concentration with Uniformly and Exponentially Increasing Forms of Sources

2020 ◽  
Vol 2020 ◽  
pp. 1-9 ◽  
Author(s):  
N. Manitcharoen ◽  
B. Pimpunchat
Keyword(s):  
Source Term ◽  
Numerical Solutions ◽  
Pollution Source ◽  
Suitable Model ◽  
One Dimensional ◽  
Analytical And Numerical Solutions ◽  
Advection Dispersion ◽  
Pollutant Sources ◽  
Important Basis ◽  
Incremental Concentration

The study of pollution movement is an important basis for solving water quality problems, which is of vital importance in almost every country. This research proposes the motion of flowing pollution by using a mathematical model in one-dimensional advection-dispersion equation which includes terms of decay and enlargement process. We are assuming an added pollutant sources along the river in two cases: uniformly and exponentially increasing terms. The unsteady state analytical solutions are obtained by using the Laplace transformation, and the finite difference technique is utilized for numerical solutions. Solutions are compared by relative error values. The result appears acceptable between the analytical and numerical solutions. Varying the value of the rate of pollutant addition along the river (q) and the arbitrary constant of exponential pollution source term (λ) is displayed to explain the behavior of the incremental concentration. It is shown that the concentration increases as q and λ increase, and the exponentially increasing pollution source is a suitable model for the behavior of incremental pollution along the river. The results are presented and discussed graphically. This work can be applied to other physical situations described by advection-dispersion phenomena which are affected by the increase of those source concentrations.

Multichannel Fourier Transform Spectroscopy Using Two-Dimensional Detection of the Interferogram and its Application to Raman Spectroscopy

1993 ◽  
Vol 47 (7) ◽  
pp. 863-868 ◽  
Author(s):  
Satoshi Takahashi ◽  
Jeung Sun Ahn ◽  
Shuji Asaka ◽  
Teizo Kitagawa
Keyword(s):  
Fourier Transform ◽  
Fringe Pattern ◽  
Principal Axis ◽  
Monochromatic Light ◽  
Fourier Transform Spectroscopy ◽  
Present System ◽  
The Novel ◽  
Two Dimensional ◽  
One Dimensional ◽  
Ccd Detector

A system for multichannel Fourier transform spectroscopy was constructed by using a CCD detector and an interferometer consisting of Savart plate held between two polarizers, and practical problems associated with its application to Raman experiments were investigated. The novel idea of the present system lies in avoiding the aliasing distortion, seen in the spectrum measured with a one-dimensional multichannel detector, by arranging the principal axis of the sensitized plane of the CCD detector so that it is not coincident with the direction of the fringe pattern of the interferogram. The observed interferogram suffered geometrical distortion due to incompleteness of the Savart plate. In order to circumvent this problem, an algorithm for correcting this distortion by referring to the interferogram of appropriate monochromatic light was successfully developed. The resolution of a Raman spectrum obtained for indene was ∼40 cm−1, in agreement with the theoretical value expected for this system.

scholarly journals Defining the function of SUMO system in pod development and abiotic stresses in Peanut

2019 ◽  
Vol 19 (1) ◽  
Author(s):  
Yiyang Liu ◽  
Jiao Zhu ◽  
Sheng Sun ◽  
Feng Cui ◽  
Yan Han ◽  
...  
Keyword(s):  
Abiotic Stresses ◽  
Developmental Process ◽  
Expression Patterns ◽  
Rna Seq ◽  
Specific Expression ◽  
Genome Wide ◽  
Pod Development ◽  
Core Components ◽  
Arachis Duranensis ◽  
New Strategies

Abstract Background Posttranslational modification of proteins by small ubiquitin like modifier (SUMO) proteins play an important role during the developmental process and in response to abiotic stresses in plants. However, little is known about SUMOylation in peanut (Arachis hypogaea L.), one of the world’s major food legume crops. In this study, we characterized the SUMOylation system from the diploid progenitor genomes of peanut, Arachis duranensis (AA) and Arachis ipaensis (BB). Results Genome-wide analysis revealed the presence of 40 SUMO system genes in A. duranensis and A. ipaensis. Our results showed that peanut also encodes a novel class II isotype of the SCE1, which was previously reported to be uniquely present in cereals. RNA-seq data showed that the core components of the SUMOylation cascade SUMO1/2 and SCE1 genes exhibited pod-specific expression patterns, implying coordinated regulation during pod development. Furthermore, both transcripts and conjugate profiles revealed that SUMOylation has significant roles during the pod development. Moreover, dynamic changes in the SUMO conjugates were observed in response to abiotic stresses. Conclusions The identification and organization of peanut SUMO system revealed SUMOylation has important roles during stress defense and pod development. The present study will serve as a resource for providing new strategies to enhance agronomic yield and reveal the mechanism of peanut pod development.

One-dimensional density of states and the phase of the transmission amplitude

1985 ◽  
Vol 32 (4) ◽  
pp. 2674-2676 ◽  
Author(s):  
Y. Avishai ◽  
Y. B. Band
Keyword(s):  
Density Of States ◽  
One Dimensional ◽  
Transmission Amplitude

scholarly journals Brain Cytoplasmic RNAs in Neurons: From Biosynthesis to Function

Biomolecules ◽  
2020 ◽  
Vol 10 (2) ◽  
pp. 313
Author(s):  
Younghoon Lee ◽  
Hee-Seung Lee ◽  
Meehyein Kim ◽  
Heegwon Shin
Keyword(s):  
Brain Function ◽  
Signal Transmission ◽  
Therapeutic Agents ◽  
Brain Diseases ◽  
Specific Expression ◽  
Control Of Gene Expression ◽  
Active Research ◽  
High Level ◽  
Important Basis ◽  
Cytoplasmic Rnas

Flexibility in signal transmission is essential for high-level brain function. This flexibility is achieved through strict spatial and temporal control of gene expression in neurons. Given the key regulatory roles of a variety of noncoding RNAs (ncRNAs) in neurons, studying neuron-specific ncRNAs provides an important basis for understanding molecular principles of brain function. This approach will have wide use in understanding the pathogenesis of brain diseases and in the development of therapeutic agents in the future. Brain cytoplasmic RNAs (BC RNAs) are a leading paradigm for research on neuronal ncRNAs. Since the first confirmation of brain-specific expression of BC RNAs in 1982, their investigation has been an area of active research. In this review, we summarize key studies on the characteristics and functions of BC RNAs in neurons.

scholarly journals Light-responsive self-assembly of semi-conducting nanoplatelets

2020 ◽  
Author(s):  
Yesica FLORES ARIAS ◽  
Rémi PLAMONT ◽  
He Huang ◽  
Alexander Ryabchun ◽  
Nathalie Katsonis ◽  
...  
Keyword(s):  
Self Assembly ◽  
Colloidal Stability ◽  
Light Emission ◽  
Monochromatic Light ◽  
Thermal Relaxation ◽  
The Self ◽  
Optical Systems ◽  
One Dimensional ◽  
Quantum Size ◽  
Dipolar Moment

Abstract CdSe nanoplatelets are a recently discovered class of colloidal semiconducting nanocrystals. Atomic control over their thickness allows achieving control over quantum size effects, and in particular, these platelets exhibit monochromatic light emission because of the confinement of photo-generated excitons only in their thickness. These nanoplatelets can self-organize into supra-particular polymers, depending on their environment, which means that their shape anisotropy can be expressed at the microscale. Here, the self-assembly of semiconducting nanoplatelets is controlled remotely by light, in a dynamic nanoparticulate system that integrates light-responsive molecular switches covalently. Azobenzene ligands were thus designed to (i) be grafted on the nanoplatelets (ii) ensure their colloidal stability in chloroform when confined on their surface in the E-configuration. Upon irradiation, the ligands isomerize into their Z-configuration, leading to a modification of the dipolar moment of the particles and to the formation of one-dimensional stacks. The self-assembly is reversible, as thermal relaxation of the ligands yields the initial dispersion back. This reversible hybrid system can be used in the design of responsive optical systems, as illustrated by photo-patterning experiments leading to controlled spatial resolution of the luminescence intensity in thin films.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

Instrumentation for detecting channelling radiation in the high-voltage electron microscope

1983 ◽  
Vol 41 ◽  
pp. 318-319
Author(s):  
J. H. Butler ◽  
C. J. Humphreys
Keyword(s):  
Monochromatic Light ◽  
Incident Beam ◽  
Laboratory Frame ◽  
Relativistic Electrons ◽  
Voltage Electron ◽  
Dipole Emission ◽  
Sinusoidal Oscillations ◽  
Pass Through ◽  
Incident Beam Energy ◽  
Increasing Function

Electromagnetic radiation is emitted when fast (relativistic) electrons pass through crystal targets which are oriented in a preferential (channelling) direction with respect to the incident beam. In the classical sense, the electrons perform sinusoidal oscillations as they propagate through the crystal (as illustrated in Fig. 1 for the case of planar channelling). When viewed in the electron rest frame, this motion, a result of successive Bragg reflections, gives rise to familiar dipole emission. In the laboratory frame, the radiation is seen to be of a higher energy (because of the Doppler shift) and is also compressed into a narrower cone of emission (due to the relativistic “searchlight” effect). The energy and yield of this monochromatic light is a continuously increasing function of the incident beam energy and, for beam energies of 1 MeV and higher, it occurs in the x-ray and γ-ray regions of the spectrum. Consequently, much interest has been expressed in regard to the use of this phenomenon as the basis for fabricating a coherent, tunable radiation source.

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