Isoscattering Microwave Networks - The Role of the Boundary Conditions

被引:0
作者
Lawniczak, M. [1 ]
Bauch, S. [1 ]
Sawicki, A. [2 ,3 ]
Kus, M. [2 ]
Sirko, L. [1 ]
机构
[1] Polish Acad Sci, Inst Phys, PL-02668 Warsaw, Poland
[2] Polish Acad Sci, Ctr Theoret Phys, PL-02668 Warsaw, Poland
[3] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England
关键词
TIME-REVERSAL SYMMETRY; NON-NEWTONIAN ORBITS; HYDROGEN-ATOMS; QUANTUM GRAPHS; RESONANCE ZONE; RYDBERG ATOMS; ONE HEAR; BILLIARDS; SHAPE; STATISTICS;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The recent paper by Hul et al. (Phys. Rev. Lett. 109, 040402 (2012), see Ref. [7]) addresses an important mathematical problem whether scattering properties of wave systems are uniquely connected to their shapes? The analysis of the isoscattering microwave networks presented in this paper indicates a negative answer to this question. In this paper the sensitivity of the spectral properties of the networks to boundary conditions is tested. We show that the choice of the proper boundary conditions is extremely important in the construction of the isoscattering networks.
引用
收藏
页码:1078 / 1081
页数:4
相关论文
共 44 条
[21]   Are Scattering Properties of Graphs Uniquely Connected to Their Shapes? [J].
Hul, Oleh ;
Lawniczak, Michal ;
Bauch, Szymon ;
Sawicki, Adam ;
Kus, Marek ;
Sirko, Leszek .
PHYSICAL REVIEW LETTERS, 2012, 109 (04)
[22]  
Jones D. S., 1964, The Theory of Electromagnetism
[23]   CAN ONE HEAR SHAPE OF A DRUM [J].
KAC, M .
AMERICAN MATHEMATICAL MONTHLY, 1966, 73 (4P2) :1-&
[24]  
Kottos T., ANN PHYS, V274
[25]  
Landau L., 2013, Electrodynamics of Continuous Media
[26]  
Lawniczak M, 2009, ACTA PHYS POL A, V116, P749
[27]   Experimental investigation of the enhancement factor for microwave irregular networks with preserved and broken time reversal symmetry in the presence of absorption [J].
Lawniczak, Michal ;
Bauch, Szymon ;
Hul, Oleh ;
Sirko, Leszek .
PHYSICAL REVIEW E, 2010, 81 (04)
[28]   Experimental investigation of properties of hexagon networks with and without time reversal symmetry [J].
Lawniczak, Michal ;
Bauch, Szymon ;
Hul, Oleh ;
Sirko, Leszek .
PHYSICA SCRIPTA, 2009, T135
[29]   Experimental and numerical investigation of the reflection coefficient and the distributions of Wigner's reaction matrix for irregular graphs with absorption [J].
Lawniczak, Michal ;
Hul, Oleh ;
Bauch, Szymon ;
Seba, Petr ;
Sirko, Leszek .
PHYSICAL REVIEW E, 2008, 77 (05)
[30]   Parametric correlations of the energy levels of ray-splitting billiards -: art. no. 036211 [J].
Savytskyy, N ;
Kohler, A ;
Bauch, S ;
Blümel, R ;
Sirko, L .
PHYSICAL REVIEW E, 2001, 64 (03) :5-362115