TELLURIC ANOMALIES CAUSED BY SHALLOW STRUCTURES: ELLIPSOIDAL APPROXIMATIONS

Geophysics ◽  
1977 ◽  
Vol 42 (1) ◽  
pp. 97-102 ◽  
Author(s):  
Tien‐Chang Lee
Keyword(s):  
Analytical Solution ◽  
Electric Field ◽  
Resistivity Ratio ◽  
Semiinfinite Medium ◽  
Ellipsoidal Approximations

An analytical solution for the electric field near an ellipsoid immersed in a semiinfinite medium is obtained to estimate the effect of shallow structures on telluric measurements. The determinant J of the Jacobean, which transforms telluric field from base to roving stations, may change across the boundary of different media by a factor equal to their resistivity ratio. At distances beyond one length of the intermediate axis from the edge of the ellipsoid, both the J-anomaly and the polarization of the normalized telluric field become negligible.

STARK EFFECT IN A FINITE REGION FOR A 1D COULOMB POTENTIAL

2002 ◽  
Vol 09 (05n06) ◽  
pp. 1827-1830 ◽  
Author(s):  
G. J. VÁZQUEZ ◽  
C. AVENDAÑO ◽  
J. A. REYES ◽  
M. DEL CASTILLO-MUSSOT ◽  
H. SPECTOR
Keyword(s):  
Hydrogen Atom ◽  
Analytical Solution ◽  
Electric Field ◽  
Stark Effect ◽  
Strong Field ◽  
Strong Electric Field ◽  
Electronic States ◽  
Finite Region ◽  
Electric Field Effects ◽  
One Dimensional

We calculate the states of a one-dimensional hydrogen atom under the effect of an electric field (Stark effect) in the strong field regime being the field confined in a finite region of width 2a (capacitor region). We find numerically the solution inside the capacitor and match it to an analytical solution outside the capacitor. Although the electric field tends to separate the two opposite charges particles, the total energy of the system decreases with increasing electric field strength. Our results are useful as a guideline to study strong electric field effects in electronic states of impurities or excitons in 1D systems.

Dynamic Response of an Electro-Rheological Sandwich Beam with Different Elastic Layers Subjected to Simultaneous Impact Loads

2012 ◽  
Vol 232 ◽  
pp. 117-121 ◽  
Author(s):  
M. Sepehrinour ◽  
M. Nezami
Keyword(s):  
Analytical Solution ◽  
Electric Field ◽  
Dynamic Response ◽  
Material Properties ◽  
Transverse Vibration ◽  
Sandwich Beam ◽  
Impact Loads ◽  
Governing Equations ◽  
Simultaneous Impact ◽  
Elastic Layers

Dynamic response of an electro-rheological sandwich beam subjected to simultaneous Impact loads will be considered. Analytical solution will be used to draw FRF diagram of the beam for different electric field. Upper and lower layers of the beam have different material properties. Coupled governing equations derived from Hamilton Principle will be solved in frequency domain to find transverse vibration of the beam.

Analytical Solution for the Electric Field Inside Dynamically Harmonized FT-ICR Cell

2019 ◽  
Vol 30 (5) ◽  
pp. 778-786 ◽  
Author(s):  
Anton Lioznov ◽  
Gökhan Baykut ◽  
Evgeny Nikolaev
Keyword(s):  
Analytical Solution ◽  
Electric Field ◽  
Ft Icr

scholarly journals Geometrically Tunable Transverse Electric Field in Multilayered Structures

2017 ◽  
Vol 2017 ◽  
pp. 1-4
Author(s):  
Roland H. Tarkhanyan ◽  
Dimitris G. Niarchos
Keyword(s):  
Electric Field ◽  
Composite Structures ◽  
Transverse Electric ◽  
Orientation Angle ◽  
Transverse Component ◽  
Transverse Electric Field ◽  
Tuning Parameter ◽  
Multilayered Structures ◽  
Resistivity Ratio ◽  
Micrometer Scale

Appearance of a transverse component in dc electric field with respect to the applied current is investigated in periodic multilayer composite structures made of nanometer-to-micrometer scale alternating layers of two different homogeneous and isotropic conducting materials. Dependence of the transverse electric field on geometrical orientation of the layers is examined using the coordinate transformation approach. Electric field bending angle as a function of the layers’ resistivity ratio is studied in detail. It is shown that both the direction and the magnitude of the field can be changed using orientation angle of the layers as a tuning parameter.

Interaction of Spherical Nanoparticles with a Highly Focused Beam of Light

2007 ◽  
Vol 1055 ◽  
Author(s):  
Ibrahim Kursat Sendur ◽  
William Challener ◽  
Oleg Mryasov
Keyword(s):  
Analytical Solution ◽  
Electric Field ◽  
Spherical Particle ◽  
Three Dimensional ◽  
Spherical Nanoparticles ◽  
Polarized Beams ◽  
Half Angle ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element ◽  
Focused Beam

ABSTRACTInteraction of a highly focused beam of light with spherical nanoparticles is investigated for various incident field polarizations. First, an analytical solution is obtained to calculate the interaction of a highly focused beam of light with a spherical particle. To accurately express the incident electric field near the focus of an aplanatic lens, the technique established by Richards and Wolf is used. Using this analytical solution, electric field distributions of various spherical nanoparticles made of silver are investigated for highly focused linearly and radially polarized beams. The effect of the half angle of the focused beam is investigated. In addition a three-dimensional finite element method based solution is obtained and compared with the analytical solution for problems involving a highly focused beam of light interacting with a spherical particle.

Analytical Investigation of Microwave Heating

2010 ◽  
Author(s):  
Mohammad Robiul Hossan ◽  
Prashanta Dutta
Keyword(s):  
Temperature Distribution ◽  
Analytical Solution ◽  
Electric Field ◽  
Microwave Heating ◽  
Analytical Investigation ◽  
The Body ◽  
Limiting Factor ◽  
Cylindrical Shape ◽  
Closed Form Analytical Solution ◽  
Poynting Theorem

Microwave heating is very popular and widely used for warming up foodstuffs quickly. However, non-uniform temperature distribution obtained from microwave heating is a major limiting factor for its application outside the food industry. The rapid decay of incident microwave and the potential existence of standing wave are responsible for non-uniform heating. Therefore, it is important to study the coupling between microwave propagation and energy transfer in the system to predict temperature distribution. In this paper, a closed-form analytical solution is presented to predict the temperature distribution within a cylindrical shape foodstuff under microwave heating by solving an unsteady energy equation. The simplified Maxwell’s equation is solved for electric field distribution; Poynting theorem is employed to calculate microwave power from electric field. The results show that the temperature in the body is very sensitive to size and time. This analytical solution can be used to investigate the influence of various parameters on microwave heating.

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