Extension of method of lines to unbounded regions by using co-ordinate transformation

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Extension of method of lines to unbounded regions by using co-ordinate transformation

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© The Institution of Electrical Engineers
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By using a co-ordinate transformation, the method of lines is extended to unbounded regions. The principle and formulas for the method are presented. For verification of the effectiveness of the method, the dispersion characteristics of open microstrip lines are calculated. They are in good agreement with the results of other methods.

Inspec keywords: dispersion (wave); strip lines; antenna theory; waveguide theory

Other keywords: method of lines; lines method; dispersion characteristics; unbounded regions; co-ordinate transformation; open microstrip lines

Subjects: Waveguides and microwave transmission lines; Waveguide and cavity theory; Antenna theory

References

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      • R. Pregla , W. Pascher , T. Itoh . (1989) The method of lines, Numerical techniques for microwave and millimeter wave passive structures.
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      • M. Kobayashi , F. Ando . Dispersion characteristics of open microstrip lines. IEEE Trans. , 101 - 105
    3. 3)
      • S.B. Worm . Full-wave analysis of discontinuities in planar waveguides by the method of lines using a source approach. IEEE Trans. , 1510 - 1514
    4. 4)
      • R.E. Collin . (1960) , Field theory of guided waves.
    5. 5)
      • U. Schulz , R. Pregla . A new technique for the analysis of the dispersion characteristics of planar waveguides. AEÜ , 84 - 88
    6. 6)
      • F.J. Schmuckle , R. Pregla . The method of lines for the analysis of lossy planar waveguides. IEEE Trans. , 1473 - 1479
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