ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Galishnikov A. A., Kozhevnikov A. V., Filimonov Y. A. Rectangular pulse compression in linear dispersive media. Izvestiya VUZ. Applied Nonlinear Dynamics, 2005, vol. 13, iss. 1, pp. 63-78. DOI: 10.18500/0869-6632-2005-13-1-63-78

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Rectangular pulse compression in linear dispersive media

Galishnikov Aleksandr Aleksandrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Kozhevnikov Aleksandr Vladimirovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Filimonov Y. A., Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences

Based on the parabolic differential equation solution behaviour of the pulse width at half-height in linear second order dispersion media was analyzed. It was shown that rectangular non-chirped pulse width varies non-monotonously with distance and reaches 50–60% initial width at compression length that is equal to 0.44 dispersive length. This compression was shown to be caused by dispersive pulse-edges perturbations that lead to frequency chirp on pulse top. The results of experiment with non-chirped rectangular surface magnetostatic wave pulses in yttrium iron garnet film are presented and are in qualitative agreement with the theoretical results.

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  1. Vinogradova MB, Rudenko OV, Sukhorukov AP. Wave Theory. Moscow: Nauka; 1990. 384 p. (in Russian).
  2. Akhmanov SA, Vysloukh VA, Chirkin AS. Optics of Femtosecond Laser Pulses. New York: American Institute of Physics; 1992. 366 p.
  3. Sukhorukov AP. Ultra short pulse optics. Soros Educational Journal. Physics. 1997;(7):81–86 (in Russian).
  4. Vainshtein LA. Propagation of pulses. Sov. Phys. Usp. 1976;19(2):189–205. DOI: 10.1070/PU1976v019n02ABEH005138.
  5. Agrawal GP, Potasek MJ. Effect of frequency chirping on the performance of optical communication systems. Optics Letters. 1986;11(5):318–320. DOI: 10.1364/OL.11.000318.
  6. Anderson D, Lisak M. Propagation characteristics of frequency-chirped super-Gaussian optical pulses. Optics Letters. 1986;11(9):569–571. DOI: 10.1364/OL.11.000569.
  7. Iwashita K, Nakagawa K, Nakano Y, Suzuki Y. Chirp pulse transmission through a single-mode fibre. Electronics Lett. 1982;18(20):873–874. DOI: 10.1049/el:19820592.
  8. Kalinikos BA, Kovshikov NG, Slavin AN. Observation of dipole spin wave envelope solitons in ferromagnetic films. IEEE Trans. Magn. 1990;26(5):1477–1479. DOI: 10.1109/20.104417.
  9. Kudinov EV, Shabunin AP. Signal propagation in the delay line based on magnetostatic waves (MSW). Radio Engineering Devices. Kiev Polytechnic Institute; 1987. P. 4 (in Russian).
  10. Gurevich AG, Melkov GA. Magnetization Oscillations and Waves. CRC Press; 1996. 464 p.
  11. Medvedev VV, Fetisov YK. Cybernetics. Devices and Systems. Moscow: MIREA; 1983. 171 p. (in Russian).
  12. Kostylev MP, Kovshikov NG. Excitation, generation, and propagation of soliton-like spin-wave pulses in ferromagnetic films: Numerical calculation and experiment. Tech. Phys. 2002;47(11):1350–1358. DOI: 10.1134/1.1522101.
  13. Synogach VT, Fetisov YK, Mathieu C, Patton CE. Ultra short magnetostatic surface wave pulse formation due to three magnon splitting. In: 2000 IEEE International Magnetics Conference (INTERMAG). Canada, Toronto 9-13 April 2000. IEEE; 2000. Р. 515. DOI: 10.1109/INTMAG.2000.872290.
  14. Filimonov YA, Marcelli R, Nikitov SA. Nonlinear magnetostatic surface waves pulse propagation in ferrite-dielectric-metal structure. IEEE Trans. Magn. 2002;38(5):3105–3107. DOI: 10.1109/TMAG.2002.802482.
  15. Kazakov GT, Kozhevnikov AV, Filimonov YA. Four-magnon decay of magnetostatic surface waves in yttrium iron garnet films. Physics of the Solid State. 1997;39(2):288–295. DOI: 10.1134/1.1129801.
  16. Chirkin VI, Shilnikov YR, Chelishchev NI. Excitation time of spin waves for nonlinear processes of the first and second orders. Soviet Physics, Solid State. 1968;10(6):1876 (in Russian).
  17. Zvezdin AK, Popkov AF. Towards a nonlinear theory of magnetostatic spin waves. Sov. Phys JETP. 1983;84(2):606–615 (in Russian).
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