Abstract
The paper introduces the theoretical background of the mechanism of electromagnetic energy and power accumulation and its focusing in narrow pulses travelling along a transmission line with material parameters variable in one space dimension and time. This mechanism may be implemented due to a special material geometry, namely, a distribution of two different dielectrics in a spatiotemporal checkerboard. We concentrate on practically reasonable means to bring this mechanism into action in a device that may work both as energy generator and energy storage. The basic ideas discussed below appear to be fairly general; we have chosen their electromagnetic implementation as an excellent framework for the entire concept.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Berezovski, M., Berezovski, A.: Numerical simulation of energy localization in dynamic materials. In: dell’Isola, F., Eremeyev, V.A., Porubov A. (eds.) Advances in Mechanics of Microstructured Media and Structures, pp. 75–83. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-73694-5_5
Blekhman, I.I., Lurie, K.A.: On dynamic materials. Proc. Russian Acad. Sci. (Doklady) 37, 182–185 (2000). https://doi.org/10.1134/1.171720
Krylov, S., Ilic, B.R., Schreiber, D., Seretensky, S., Craighead, H.: Pull-in behavior of electrostatically actuated bistable microstructures. J. Micromech. Microeng. 18(5), 055026 (2008). https://doi.org/10.1088/0960-1317/18/5/055026
Krylov, S., Gerson, Y., Nachmias, T., Keren, U.: Excitation of large amplitude parametric resonance by the mechanical stiffness modulation of a microstructure. J. Micromech. Microeng. 20(1), 015041 (2010). https://doi.org/10.1088/0960-1317/20/1/015041
Krylov, S., Lurie, K.A.: Compliant structures with time-varying moment of inertia and non-zero average momentum and their applications in angular rate microsensors. J. Sound. Vib. 330(20), 4875–4895 (2011). https://doi.org/10.1016/j.jsv.2011.04.032
Lurie, K.A.: An Introduction to the Mathematical Theory of Dynamic Materials. Advances in Mechanics and Mathematics, vol. 15. Springer, New York (2007, Second Edition 2017). https://doi.org/10.1007/978-3-319-65346-4
Lurie, K.A., Weekes, S.L.: Wave propagation and energy exchange in a spatio-temporal material composite with rectangular microstructure. J. Math. Anal. Appl. 314(1), 286–310 (2006). https://doi.org/10.1016/j.jmaa.2005.03.093
Lurie, K.A., Weekes, S.L., Onofrei, D.: Mathematical analysis of the waves propagation through a rectangular material structure in space-time. J. Math. Anal. Appl. 355(1), 180–194 (2009). https://doi.org/10.1016/j.jmaa.2009.01.031
Morgenthaler, F.R.: Velocity modulation of electromagnetic waves. IRE Trans. Microw. Theory Tech. 6(4), 167–172 (1958). https://doi.org/10.1109/tmtt.1958.1124533
Oohira, F., Iwase, M., Matsui, T., Hosogi, M., Ishimaru, I., Hashiguchi, G., Mihara, Y., Iino, A.: Self-hold and precisely controllable optical cross-connect switches using ultrasonic micro motors. IEEE J. Sel. Top. Quantum Electron. 10(3), 551–557 (2004). https://doi.org/10.1109/jstqe.2004.830618
Pelesko, J.A., Bernstein, D.H.: Modeling of MEMS and NEMS. CRC Press, New York (2002). https://doi.org/10.1201/9781420035292
Rozenberg, Y.I., Rosenberg, Y., Krylov, V., Belitsky, G., Shacham-Diamand, Y.: Resin-bonded permanent magnetic films with out-of-plane magnetization for MEMS applications. J. Magn. Magn. Mater. 305(2), 357–360 (2006). https://doi.org/10.1016/j.jmmm.2006.01.026
Xiao, Y., Maywar, D.N., Agrawal, G.P.: Reflection and transmission of electromagnetic waves at a temporal boundary. Opt. Lett. 39(3), 574–577 (2014). https://doi.org/10.1364/ol.39.000574
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Berezovski, M., Elektrov, S., Lurie, K. (2019). A Design of a Material Assembly in Space-Time Generating and Storing Energy. In: Berezovski, A., Soomere, T. (eds) Applied Wave Mathematics II. Mathematics of Planet Earth, vol 6. Springer, Cham. https://doi.org/10.1007/978-3-030-29951-4_13
Download citation
DOI: https://doi.org/10.1007/978-3-030-29951-4_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-29950-7
Online ISBN: 978-3-030-29951-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)