1993 Fiscal Year Final Research Report Summary
Development of Unified Analysis Method for Quantum Devices by using both Vector and Scalr Protentials
| Project/Area Number |
04805031
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
物理学一般
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| Research Institution | Hokkaido University |
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Principal Investigator |
YOSHIDA Norinobu Hokkaido Univ. Fac.of Eng. Associate Prof., 工学部, 助教授 (90002055)
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| Co-Investigator(Kenkyū-buntansha) |
YOSHIDA Norinobu Hokkaido Univ. Fac.of Eng. Associate Prof. (90002055)
YOSHIDA Norinobu Hokkaido Univ. Fac.of Eng. Associate Prof. (90002055)
YOSHIDA Norinobu Hokkaido Univ. Fac.of Eng. Associate Prof. (90002055)
YOSHIDA Norinobu Hokkaido Univ. Fac.of Eng. Associate Prof. (90002055)
YOSHIDA Norinobu Hokkaido Univ. Fac.of Eng. Associate Prof. (90002055)
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| Project Period (FY) |
1992 – 1993
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| Keywords | Vector potential / Scalar potential / Lorentz gauge condition / Spatial network method / Finite-defference time-domain method / Orientation polarization / Resonance absorption polarization / Inducced emission |
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| Research Abstract |
The achievements from 1992 to 1994 by the project of Grant-in-Aid for Scientific research concernedare as follows.
(1) The fundamental analysis method for analyzing unificately the vector and scalar potentials involving medium conditions is induced under the Lorentz gauge condition.
(2) The Meisner effect can be easily analyzed by using the caracteristic equation presented with the vector potentaial.
(3) The treatment of the medium conditions expressed by the polarization in each lattice point in this method is applied to the orientation polarization, the resonance absprption polarization, and the non-magnetized plazma. It is shown that the formulation by the vector potential is simpler than that by the electromagnetic variables and brings about the saving of both the memory storages and computation times.
**The contents in (2) and (3) show the relization of the direct expression of medium conditions by the vector potential and the resultant effectiveness of the proposed method.
(4) It is s
… More
hown that the treatment for the resonance absorption in (3) can be immediately applied to the active induced emission property by introducing negative polarizability. This formulation enables to simulate the maser and laser mechanisms.
**These treatments of resonance absorption and indeced emission properties gives the funamental interaction between electromagnetic fields and the device properties including quantum effects. On the quantum theory, these aborption and emission properties of electromagnetic energy is explained by the transition mechanism between energy bands. Therefore, the strict introduction of the quantum effect to the proposed method can be performed by adopting the adequate formulas such the Schrodinger equation for estimating the transition mechanism with external electromagnetic field conditions.
(5) In addition to the Spatial Network Method (SNM) in which the rigid proof for the formulation can be performed, the application to the Finite-Difference and Time-Domain method (FD-TD) which shows the advantage in performing efficient computation for some cases of problems.
(6) To increase the generality of the method, the application to the Hertz vector is also achieved. Less
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Research Products
(4 results)
