Input impedance characteristics of double barrier structures

Authors

DOI:

https://doi.org/10.20535/RADAP.2014.58.112-120

Keywords:

resonant passing, resonant tunneling, double barrier structure, delta-barrier

Abstract

Introduction. Double barrier structures (DBSs) are widely used in different technical areas. In the paper the features of input impedance characteristics of DBS are investigated and conditions of resonant passing, including resonant tunneling, of waves are set.
Delta-model of double barrier structure. A model of DBS in the form of two impedance delta-barriers in quantum-mechanical, electromagnetic and acoustic media is considered. Analytical expressions for the input impedance characteristics are received. Impedance conditions of resonance passing of waves through DBS are obtained. New condition of resonance passing through DBS is set.
Electromagnetic and acoustic double barrier structures. Dependences of input impedance active and reactive components and transfer coefficient of DBS are given. Accordance of DBS characteristics with finite size barriers and its delta-model is analysed. The analogy of DBS and parallel oscillatory circuit is set.
Quantum-mechanical double barrier structure. Dependences of input impedance and transfer coefficient of quantum-mechanical DBS are given. Character of active component dependence is similar to transfer coefficient characteristic. Resonance transfer characteristics have very high quality factor.
Conclusions. Input impedance characteristics of DBS allow to analyse wave properties of such structures, set the conditions of resonant passing, including resonant tunneling, waves. By analysing the input impedance characteristics conditions of resonant passing for DBS, located between media with different wave impedances, were determined.

Author Biographies

O. V. Mikolaychik, National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

B.S.

M. V. Vodolazka, National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

M.S., Postgraduate student

E. A. Nelin, National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

Doc. of Sci. (Techn.), Prof.

References

Перелік посилань

Markos P. Wave Propagation From Electrons to Photonic Crystals and Left-Handed Materials / P. Markos, C. M. Soukoulis. — Princeton and Oxford: Princeton University Press, 2008. – 352 p.

Nguyen H. S. Realization of a double-barrier resonant tunneling diode for cavity polaritons / H. S. Nguyen, D. Vishnevsky, C. Sturm et al. // Phys. Rev.Lett. – 2013. – Vol. 110. – 236601.

Seo K. C. Spin filtering in an electromagnetic structure / K. C. Seo, G. Ihm, K.-H. Ahn et al. // J. Appl. Phys. – 2004. – Vol. 95, No. 11. – pp. 7252—7254.

Hayashi S. Observation of resonant photon tunneling in photonic double barrier structures / S. Hayashi, H. Kurokawa, H. Oga // Opt. Rev. – 1999. – Vol. 6, No. 3. – P. 204-210.

Qiu C. Mode-selecting acoustic filter by using resonant tunneling of two-dimensional double phononic crystals / C. Qiu, Z. Liu, J. Mei et al. // Appl. Phys. Lett. – 2005. – Vol. 87, No. 10. – pp. 104101-104103.

Городецкий М. Л. Основы теории оптических микрорезонаторов / М. Л. Городецкий. – М. : МГУ, 2010. – 203 с.

Khondker A. N. Transmission line analogy of resonance tunneling phenomena: The generalized impedance concept / A. N. Khondker, M. R. Khan, A. F. M. Anwar // J. Appl. Phys. – 1988. – Vol. 63, No. 10. – P. 5191;5193.

Нелин Е. А. Импедансная модель для “барьерных” задач квантовой механики / Е. А. Нелин // УФН. – 2007. – Т. 177, №3. – С. 307-313.

Нелін Є. А. Квантово-механічні структури з дельта-функціональним потенціалом / Є. А. Нелін, М. В. Водолазька // Наукові вісті НТУУ «КПІ». – 2013. – № 4(90). – С. 137—144.

Зернов Н. В. Теория радиотехнических цепей / Н. В. Зернов, В. Г. Карпов. – Л. : Энергия, 1972. – 816 с.

Водолазская М. В. Модель импедансных дельта-неоднородностей для микро- и наноструктур / М. В. Водолазская, Е. А. Нелин // Известия вузов. Радиоэлектроника. – 2014. – Т. 57, №5. – С. 25–34.

References

Markos P. and Soukoulis C. M. (2008) Wave Propagation From Electrons to Photonic Crystals and Left-Handed Materials. Princeton and Oxford: Princeton University Press, 352 p.

Nguyen H. S., Vishnevsky D., Sturm C., Tanese D., Solnyshkov D., Galopin E., Lemaître A., Sagnes I., Amo A., Malpuech G. and Bloch J. (2013) Realization of a double-barrier resonant tunneling diode for cavity polaritons. Phys. Rev. Lett., Vol. 110, pp. 236601.

Seo K. C., Ihm G., Ahn K.-H. and Lee S. J. (2004) Spin filtering in an electromagnetic structure. J. Appl. Phys., Vol. 95, No. 11, pp. 7252-7254.

Hayashi S., Kurokawa H. and Oga H. (1999) Observation of resonant photon tunneling in photonic double barrier structures. Opt. Rev., Vol. 6, No. 3, pp. 204-210.

Qiu C., Liu Z. and Mei J. (2005) Mode-selecting acoustic filter by using resonant tunneling of two-dimensional double phononic crystals. Appl. Phys. Lett., Vol. 87, No. 10, pp 104101-104103.

Gorodetskii M. L. (2010) Osnovy teorii opticheskikh mikrorezonatorov [Fundamentals of the theory of optical microcavities]. Moscow, MHU, 203 p.

Khondker A. N., Khan M. R. and Anwar A. F. M. (1988) Transmission line analogy of resonance tunneling phenomena: The generalized impedance concept. J. Appl. Phys., Vol. 63, No. 10, pp. 5191—5193.

Nelin E.A. (2007) Impedance model for quantum-mechanical barrier problems. Physics-Uspekhi, Vol. 50, No. 3, pp. 293-299.

Nelin E. A. and Vodolazka M. V. (2013) Kvantovo-mekhanichni struktury z del'ta-funktsional'nym potentsialom [Quantum-mechanical structures with delta-functional potential]. Naukovi visti NTUU «KPI», no. 4, pp. 137-144.

Zernov N. V. and Karpov V. G. (1972) Teorija radiotehnicheskih cepej [Radio circuits theory]. Leningrad, Energiya Publ., 816 p.

Vodolazka M. V. and Nelin E. A. (2014) Model of impedance delta-inhomogeneities for micro- and nanostructures. Radioelectronics and Communications Systems, Vol. 57, No. 5, pp. 208-216.

Published

2014-10-03

How to Cite

Миколайчик, О. В., Водолазька, М. В. and Нелін, Є. А. (2014) “Input impedance characteristics of double barrier structures”, Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, 0(58), pp. 112-120. doi: 10.20535/RADAP.2014.58.112-120.

Issue

Section

Functional Electronics. Micro- and Nanoelectronic Technology

Most read articles by the same author(s)

1 2 > >>