Abstract
Based on the mode-coupling method, numerical analysis is presented to demonstrate the influence of ripple taper on coupling modes on the frequency response in a coaxial Bragg structure. Results show that the interval between the band-gaps of the competing mode and the desired working mode is narrowed by use of a positive taper, but is expanded if a negative taper is employed, and the influence of the negative taper is more obviously advantage than the positive taper. The residual side-lobes of the frequency response on coupling modes can be effectively suppressed by employing the windowing-function technique. These characteristics of a tapered coaxial Bragg structure are favorable to improvement of the performance as a reflector or a filter in its application, also favorable to the mode selectivity and further weaken the excitation of unwanted spurious modes.
Similar content being viewed by others
References
A. Yariv and M. Nakamura, “Periodic Structures for Integrated Optics”, IEEE J. Quantum Electronics, QE-13, 233-253, Apr. 1977.
H. Kogelnik and C. V. Shank, “Coupled-Wave Theory of Distributed Feedback Laser,” J. Appl. Phys., vol. 43, pp. 2327-2335, May 1972.
J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals Modeling the Flow of Light, New Jersey: Princeton University Press, 1995.
I. V. Konoplev, P. McGrane, W. He, A. Cross, A. Phelps, C. Whyte, K. Ronald, and C. Robertson, “Experimental study of coaxial free-electron maser based on two-dimensional distributed feedback,” Phys. Rev. Lett., vol. 96, pp. 035002, 2006.
V. L. Bratman, G. G. Denisov, N. S. Ginzburg and M. I. Petelin, “FEL’s with Bragg reflection resonators: Cyclotron Autoresonance Masers vesus Ubitrons,” IEEE J. Quantum Electronics, vol. QE-19, pp. 282-293, Mar. 1983.
A. J. Palmer, “Coupled-mode theory of overmoded cylindrical metal Bragg-reflectors,” IEEE J. Quantum Electronics, vol. QE-23, pp. 65-70, Jan. 1987.
R. B. McCowan, A. W. Fliflet, S. H. Gold, V. L. Granatstein, and M. C. Wang, “Design of a waveguide resonator with rippled wall reflectors for a 100 GHz CARM oscillator experiment,” Int. J. Electronics, vol. 65, pp. 463-475, 1988.
R. B. McCowan et al., “The Design of a 100-GHz CARM oscillator experiment,” IEEE Trans. on Electron Devices, vol. 36, pp. 1968-1975, Sept. 1989.
C. K. Chong et al., “Bragg reflecors,” IEEE Trans. on Plasma Sci., vol. 20, pp. 393-402, Jun. 1992.
S. Alberti et al., “Experimental Study of a 28 GHz High-Power Long-Pulse Cyclotron Autoresonance Maser Oscillator,” Phys. Rev. Lett., vol.71, pp. 2018-2021, Sept. 1993.
G. Bekefi, A. DiRienzo, C. Leibovitch and B.G Danly, "A 35 GHz Cyclotron Autoresonance Maser Amplifier", Appl. Phys. Lett., 1989, v.54, p.1302.
V.L. Bratman, G.G. Denisov, B.D. Kol'chugin, S.V. Samsonov, A.B. Volkov, "Experimental demonstration of high-efficiency Cyclotron-Autoresonance-Maser operation", Phys. Rev. Lett., 1995, v.75, no.17, p.3102.
N. S. Ginzburg et al, “The use of a hybrid resonator consisting of one-dimensional and two-dimensional Bragg reflectors for generation of spatially coherent radiation in a coaxial free-electron laser,” Phys. Plasmas, vol. 9, pp. 2798-2802, Jun. 2002.
T.S. Chu, F.V. Hartemann, B.G. Danly, R.J. Temkin ,"Single-mode operation of a Bragg Free-electron maser oscillator", Phys. Rev. Lett., 1994, v.72, no.15, p.2391.
N.S. Ginzburg, A.A. Kaminsky, A. Kaminsky, N.Yu. Peskov, S.N. Sedykh, A.P. Sergeev, A.S. Sergeev ,"High-efficiency single-mode Free-Electron Maser oscillator based on a Bragg resonator with step of phase of corrugation", Phys. Rev. Lett., 2000, v.84, p.3574.
A.V. Arzhannikov, N.S. Ginzburg, V.Yu. Zaslavsky, V.G. Ivanenko, I.A. Ivanov, P.V. Kalinin, A.S. Kuznetsov, S.A. Kuznetsov, N.Yu. Peskov, A.S. Sergeev, S.L. Sinitsky, V.D. Stepanov, "Production of powerful spatially coherent radiation in planar and coaxial FEM exploiting two-dimensional distributed feedback", JETP Lett., 2008, v.87, no.11, p.715.
N.S. Ginzburg, N.Yu. Peskov, A.S. Sergeev, A.D.R. Phelps, Robb G.R.M, "Mode competition and control in free electron devices with one and two dimensional Bragg resonators", IEEE Trans. on Plasma Science, 1996, v.24, no.3, p.770.
N.S. Ginzburg, N.Yu. Peskov, A.S. Sergeev, A.D.R Phelps., I.V. Konoplev, G.R.M., A.W. Robb Cross, A.V. Arzhannikov, S.L. Sinitsky ,"Theory and design of a free-electron maser with two-dimensional feedback driven by a sheet electron beam" Phys. Rev. E, 1999, v.60, no.1, p.935.
N.S. Ginzburg, A.M. Malkin, N.Yu. Peskov, A.S. Sergeev, V.Yu. Zaslavsky, K. Kamada, Y. Soga,"Tunable terahertz band planar Bragg reflectors", Appl. Phys. Lett., 2009, v.95, p.043504.
P. McGrane, I. V. Konoplev, K. Ronald, A. W. Cross and A. D. R. Phelps, “Experimental and theoretical study of constructive and destructive wave interference in a coaxial 1D Bragg structure,” in Joint 29th Int. Conf. Infrared Millimeter Waves and 12 th Int. Conf. on Terahertz Electronics Dig., Karlsruhe, pp. 177-178, 2004.
I. V. Konoplev et al, “Progress of the Strathclyde free electron maser experiment using 2D Bragg structure,” Nucl. Instr. and Meth. A, vol. 445, pp. 236-240, 2000.
I. V. Konoplev, P. McGrane, A. W. Cross, K. Ronald and A. D. R. Phelps, “Wave interference and band control in multiconductor one-dimensional Bragg structures,” J. Appl. Phys, vol. 97, pp. 073101, Mar. 2005.
I. V. Konoplev, P. McGrane, A. D. R. Phelps, A. W. Cross, and K. Ronald, “Observation of photonic band-gap control in one-dimensional Bragg structures”, Appl. Phys. Lett., vol. 87, pp. 121104, 2005.
J. J. Barroso and J. P. Leite Neto, “Design of coaxial Bragg reflectors,” IEEE Trans. on Plasma Sci., vol. 34, pp. 666-672, Jun. 2006.
Y.-X. Lai and S.-C. Zhang, “Coaxial Bragg reflector with a corrugated inner rod”, IEEE Microwave and Wireless Components Lett., vol. 17, pp. 328-331, May 2007.
S.-C. Zhang, X.-H. Chen, and Y.-X. Lai, “Effect of eccentricity on transmission in a coaxial Bragg structure”. Int. J. Infrared Millimeter Waves. Vol. 28, pp.1043–1050, 2007.
Y.-X. Lai and S.-C. Zhang, “Multiwave interaction formulation of a coaxial Bragg structure and its experimental verification”, Phys. Plasmas, vol. 14, pp. 113301, 2007.
Y.-X. Lai and S.-C. Zhang, “Separation of band-gap overlap in a coaxial Bragg structure operating in higher-order mode at Terahertz frequency”, Phys. Plasmas, vol. 15, pp.033301, 2008.
X.-H. Chen and S. C. Zhang, “Suppression of residual side-lobes in a coaxial Bragg reflector”, Int. J. Infrared Millimeter Waves. 29, 552–557, 2008.
X.-Y. Ding, S.-C. Zhang, and Y.-C. Xie, “Characteristics of frequency response in a coaxial Bragg structure with tapered ripples”, High power laser and Particle Beams, 20(12), 2051-2054, 2008.
Acknowledgements
This work was supported mainly by the National Natural Science Foundation of China (No.60871023) and the provincial Natural Science Foundation of Hainan (No. Hjsk2010-60).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ding, XY., Liu, H. & Lv, ZS. Effect of Ripple Taper on Coupling Modes in a Coaxial Bragg Structure. J Infrared Milli Terahz Waves 31, 1156–1163 (2010). https://doi.org/10.1007/s10762-010-9704-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10762-010-9704-2