Skip to main content
SpringerLink
Log in

Propagation of electromagnetic wave in coaxial conical transverse electromagnetic wave cell

  • Published:
Chinese Journal of Mechanical Engineering Submit manuscript

Abstract

In order to solve the problem of broadband field probes calibration with only selected discrete frequencies above 1 GHz, a sweep-frequency calibration technology based on a coaxial conical(co-conical) cell is researched. Existing research is only qualitative because of the complexity of theoretical calculations. For designing a high performance cell, a mathematic model of high-order modes transmission is built according to the geometrical construction of co-conical. The associated Legendre control functions of high-order modes are calculated by using recursion methodology and the numerical calculation roots are presented with different half angles of inner and outer conductor. Relationship between roots and high-order modes transmission is analyzed, when the half angles of inner conductor and outer conductor are θ 1=1.5136° and θ 2=8° respectively, the co-conical cell has better performance for fewer transmitting high-order modes. The propagation process of the first three transmitting modes wave is simulated in CST-MWS software from the same structured co-conical. The simulation plots show that transmission of high-order modes appears with electromagnetic wave reflection, then different high-order mode transmission has different cut-off region and each cut-off region is determined by its cut-off wavelength. This paper presents numerical calculation data and theoretical analysis to design key structural parameters for the co-conical transverse electromagnetic wave cell(co-conical TEM cell).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Standards Development Committee of the IEEE Electromagnetic Compatibility Society, American National Standards Institute. IEEE Std 1309TM -2005 IEEE Standard for Calibration of Electromagnetic Field Sensors and Probes, Excluding Antennas, from 9 kHz to 40 GHz[S]. New York: The Institute of Electrical and Electronics Engineers Inc., 2005.

    Google Scholar 

  2. LUCA Ziberit, ORIANO B, MARIO C, et al. On the use of TEM cells for the calibration of power frequency electric field meters[J]. Measurement, 2010, 43(3): 1282–1290.

    Google Scholar 

  3. MORIOKA T. Probe response to a non-uniform e-field in a TEM cell[C]//Conference on Precision Electromagnetic Measurements, Daejeon, Korea, June 13–18, 2010: 327–328.

    Google Scholar 

  4. KANG Noweon, KANG Jinseob. Characterization method of electric field probe by using transfer standard in GTEM cell[J]. IEEE Transaction on Intrumentation and Measurement, 2009, 58(4): 1109–1113.

    Article  Google Scholar 

  5. WEIL C M, NOVOTNY D R, JOHNK R T, et al. A new broadband RF field standard using a coaxial transmission line of conical geometry: progress report[C]//Proceedings of 23rd AMTA Meeting, Denver, USA, October, 2001: 14–19.

  6. WEIL C M, NOVOTNY D R, JOHNK R T, et al. Calibration of broadband RF field probes using a coaxial conical transmission line[C]//Proceedings of 14th International Conference on Microwaves Radar and Wireless Communicationse, Boulder, USA, May 20–22, 2002: 404–407.

  7. WEIL C M, RIDDLE B F, NOVOTNY D R, et al. Modal cutoff in coaxial transmission lines of conical and cylindrical geometries[C]//IEEE MTT-S International Microwave Symposium Digest, Boulder, USA, May 20–25, 2001: 1229–1232.

  8. MARCUVITZ N. Waveguide handbook[M]. London: Peter Peregrinus Press, 1986.

    Book  Google Scholar 

  9. BLADEL J V. The ϕ 0 constant mode in free-space and conical waveguides[J]. IEEE Transactions on Microwave Theory and Techniques, 2002, 50(10): 1233–1237.

    Article  Google Scholar 

  10. SCHELKUNOFF S A. Theory of antennas of arbirary size and shape[J]. Proceedings of the I.R.E, 1941, 29(10): 493–521.

    Article  Google Scholar 

  11. CONSTANTINE A B. Antenna theory: analysis and design[M]. New York: John Wiley and Sons, 1982.

    Google Scholar 

  12. CONSTANTINE A B. Advanced engineering electromagnetics[M]. New York: John Wiley and Sons, 2012.

    Google Scholar 

  13. SCHELKUNOFF S A. Transmission theory of sperical waves[J]. AIEE Transactions, 1938: 744–750.

    Google Scholar 

  14. SCHELKUNOFF S A. Transmission theory of plane electromagneitc waves[C]//Proceedings of the Institute of Radio Engineers, Vikis, September, 1937: 1457–1492.

    Google Scholar 

  15. SCHELKUNOFF S A. Electromagnetic waves[M]. New York: D.Van Nostrand Company, Inc., 1943:285–289.

    Google Scholar 

  16. STANIER J, HAMID M. Hybrid modes in a dielectric lined conical waveguide[J]. Electronics Letters, 1986, 22(12): 626–627.

    Article  Google Scholar 

  17. JAMES G L. On the problem of applying mode-matching techniques in analyzing conical waveguide discontinuities[J]. IEEE Transactions on Microwave Theory and Techniques, 1983, 31(9): 718–723.

    Article  Google Scholar 

  18. DIRK I L. Analysis and design of conical transmission line power combiners[D]. Cape Town: University of Stellenbosch, 2007.

    Google Scholar 

  19. CUI Furong. Research and analysis of new series of transverse electromagnetic cell[D]. Guangzhou: South China University of Technology, 2000.

    Google Scholar 

  20. CUI Furong, LAI Shengli, JI Fei, et al. Transmission characteristics of taper TEM cell[J]. Journal of Applied Sciences, 2001, 19(1): 10–13.

    Google Scholar 

  21. CUI Furong, JI Fei, LAI Shengli, et al. Conical transverse electromagnetic cell[J]. Journal of Microwaves, 2000, 16(5): 619–623.

    Google Scholar 

  22. BELL W W. Special functions for scientists and engineers[M]. New York: Dover Publications, 2013.

    Google Scholar 

  23. ZHANG Shanjie. Computation of special functions[M]. New York: John Wiley and Sons Inc., 1996.

    Google Scholar 

  24. ABRAMOWITZ M, STEGUN I A. Handbook of mathematical functions with formulas[M]. Washington DC: Graphs and Mathematical Tables, US Gov. Printing Office, 1966

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Electrical Engineering and Automation, Tianjin University, Tianjin, 300072, China

    Xingxun Liu & Tao Zhang

  2. Beijing Institute of Radio Metrology and Measurement, Beijing, 100854, China

    Xingxun Liu & Wangquan Qi

Authors
  1. Xingxun Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tao Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Wangquan Qi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xingxun Liu.

Additional information

Supported by State Administration of Science Technology and Industry for National Defense, China(Grant No. JSJC2013204B301)

LIU Xingxun, born in 1982, is currently a PhD candidate at School of Electrical Engineering and Automation, Tianjin University, China. She received her master degree from Tianjin University, China, in 2006. She joined Tianjin Institute of Metrology, China in 2006, and joined Beijing Institute of Radio Metrology and Measurement, China, in 2010. Her research interests include electromagnetic reference field, antennas and probes calibration, EMC measurement.

ZHANG Tao, born in 1964, is a professor and a doctoral tutor at Tianjin University, China. His research interests are automatic control system, fluid dynamics, and electromagnetic reference field.

QI Wanquan, born in 1975, received his PhD degree from Beihang University, China, in 2006. He is currently a senior engineer at Department of Electromagnetic Environment Effect, Beijing Institute of Radio Metrology and Measurement, China. His research interests include EMC test and calibration.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, X., Zhang, T. & Qi, W. Propagation of electromagnetic wave in coaxial conical transverse electromagnetic wave cell. Chin. J. Mech. Eng. 28, 1222–1228 (2015). https://doi.org/10.3901/CJME.2015.0410.040

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3901/CJME.2015.0410.040

Keywords

Search

Navigation