Isoscattering Microwave Networks - The Role of the Boundary Conditions

• Authors: M. Ławniczak , S. Bauch , A. Sawicki , M. Kuś , L. Sirko
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

03.65.Nk; 05.45.Ac

Discipline

• 03.65.Nk: Scattering theory
• 05.45.Ac: Low-dimensional chaos

• Journal: Acta Physica Polonica A
• Year: 2013
• Volume: 124
• Issue: 6
• Pages: 1078-1081

Dates

published

2013-12

Contributors

author

M. Ławniczak

• Institute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland

author

S. Bauch

• Institute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland

author

A. Sawicki

• Center for Theoretical Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland
• School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK

author

M. Kuś

• Center for Theoretical Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland

author

L. Sirko

• Institute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland

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Identifiers

DOI

10.12693/APhysPolA.124.1078