Some aspects of strong inversion formulas of an SFT

Shigeyoshi Ogawa; Hideaki Uemura

doi:10.1007/s13160-017-0295-3

An Analytical Drain Current Model for Dual-material Gate Graded - channel and Dual-oxide Thickness Cylindrical Gate (DMG-GC-DOT) MOSFET

Nanoscience &Nanotechnology-Asia ◽

10.2174/2210681208666180813122145 ◽

2019 ◽

Vol 9 (2) ◽

pp. 291-297

Author(s):

Hind Jaafar ◽

Abdellah Aouaj ◽

Ahmed Bouziane ◽

Benjamin Iñiguez

Keyword(s):

Current Model ◽

Drain Current ◽

Oxide Thickness ◽

Subthreshold Current ◽

The Poisson Equation ◽

Strong Inversion ◽

Cylindrical Form ◽

Silvaco Atlas ◽

Dual Material ◽

Good Agreement

Background: A novel Dual Material Gate Graded Channel and Dual Oxide Thickness Cylindrical Gate (DMG-GC-DOT) MOSFET is presented in this paper. Methods: Analytical model of drain current is developed using a quasi-two-dimensional cylindrical form of the Poisson equation and is expressed as a function of the surface potential, which is calculated using the expressions of the current density. Results: Comparison of the analytical results with 3D numerical simulations using Silvaco Atlas - TCAD software presents a good agreement from subthreshold to strong inversion regime and for different bias voltages. Conclusion: Two oxide thicknesses with different permittivity can effectively improve the subthreshold current of DMG-GC-DOT MOSFET.

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Erdélyi–Kober fractional integrals and radon transforms for mutually orthogonal affine planes

Fractional Calculus and Applied Analysis ◽

10.1515/fca-2020-0050 ◽

2020 ◽

Vol 23 (4) ◽

pp. 967-979

Author(s):

Boris Rubin ◽

Yingzhan Wang

Keyword(s):

Fractional Integrals ◽

Radon Transforms ◽

Affine Planes ◽

Inversion Formulas ◽

Radial Functions ◽

Compactly Supported ◽

Radial Case ◽

Compactly Supported Functions

AbstractWe apply Erdélyi–Kober fractional integrals to the study of Radon type transforms that take functions on the Grassmannian of j-dimensional affine planes in ℝn to functions on a similar manifold of k-dimensional planes by integration over the set of all j-planes that meet a given k-plane at a right angle. We obtain explicit inversion formulas for these transforms in the class of radial functions under minimal assumptions for all admissible dimensions. The general (not necessarily radial) case, but for j + k = n − 1, n odd, was studied by S. Helgason [8] and F. Gonzalez [4, 5] on smooth compactly supported functions.

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Lagrange Inversion and Combinatorial Species with Uncountable Color Palette

Annales Henri Poincaré ◽

10.1007/s00023-020-01013-0 ◽

2021 ◽

Author(s):

Sabine Jansen ◽

Tobias Kuna ◽

Dimitrios Tsagkarogiannis

Keyword(s):

Lagrange Inversion ◽

Inversion Formulas ◽

Color Palette

AbstractWe prove a multivariate Lagrange-Good formula for functionals of uncountably many variables and investigate its relation with inversion formulas using trees. We clarify the cancellations that take place between the two aforementioned formulas and draw connections with similar approaches in a range of applications.

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A precise CMOS mismatch model for analog design from weak to strong inversion

2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512) ◽

10.1109/iscas.2004.1328304 ◽

2004 ◽

Cited By ~ 2

Author(s):

T. Serrano-Gotarredona ◽

B. Linares-Barranco ◽

J. Velarde-Ramirez

Keyword(s):

Analog Design ◽

Strong Inversion

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Thermal structure of intense convective clouds derived from GPS radio occultations

Atmospheric Chemistry and Physics ◽

10.5194/acp-12-5309-2012 ◽

2012 ◽

Vol 12 (12) ◽

pp. 5309-5318 ◽

Cited By ~ 34

Author(s):

R. Biondi ◽

W. J. Randel ◽

S.-P. Ho ◽

T. Neubert ◽

S. Syndergaard

Keyword(s):

Thermal Structure ◽

Deep Convection ◽

Lapse Rate ◽

Orthogonal Polarization ◽

Cold Temperatures ◽

Temperature Lapse Rate ◽

Convective Systems ◽

Convective Clouds ◽

Strong Inversion ◽

Cloud Tops

Abstract. Thermal structure associated with deep convective clouds is investigated using Global Positioning System (GPS) radio occultation measurements. GPS data are insensitive to the presence of clouds, and provide high vertical resolution and high accuracy measurements to identify associated temperature behavior. Deep convective systems are identified using International Satellite Cloud Climatology Project (ISCCP) satellite data, and cloud tops are accurately measured using Cloud-Aerosol Lidar with Orthogonal Polarization (CALIPSO) lidar observations; we focus on 53 cases of near-coincident GPS occultations with CALIPSO profiles over deep convection. Results show a sharp spike in GPS bending angle highly correlated to the top of the clouds, corresponding to anomalously cold temperatures within the clouds. Above the clouds the temperatures return to background conditions, and there is a strong inversion at cloud top. For cloud tops below 14 km, the temperature lapse rate within the cloud often approaches a moist adiabat, consistent with rapid undiluted ascent within the convective systems.

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