Wave Propagation in Random Media and Berry Phases
| Project/Area Number |
06640524
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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 | KYOTO UNIVERSITY |
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Principal Investigator |
KITANO Masao Kyoto Univ., Graduate School of Engineering, Associate Professor, 工学研究科, 助教授 (70115830)
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| Co-Investigator(Kenkyū-buntansha) |
OGURA Hisanao Kyoto Univ., Graduate School of Engineering, Professor, 工学研究科, 教授 (50025954)
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| Project Period (FY) |
1994 – 1995
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| Project Status |
Completed (Fiscal Year 1995)
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| Budget Amount *help |
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1995: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1994: ¥1,400,000 (Direct Cost: ¥1,400,000)
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| Keywords | random media / wave propagation / Berry phase |
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| Research Abstract |
We investigated the geometrical features of 1D wave propagation, whose dynamics is described by the (2+1)-dimensional Lorentz group. There found many interesting geometrical ingredients such as spinor-like behavior of wave amplitudes, gauge transformations, Bloch-type equations, and Lorentz-group Berry phases. The geometrical descriptions were found to be very useful for intuitive understanding of 1D wave phenomena. The appearance of spinor-like behavior in classical context is very interesting in the sense that the two-valued representation was believed peculiar to the quantum regime. We also propose an optical experiment to verify these effects.
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Report
(3 results)
Research Products
(5 results)
