Numerical and analytical characteristic modes for conducting elliptic cylinders

Temporal Modal Analysis of Small Radiators

“…For the sake of conciseness, interested readers may refer to Ref. [16] for the CMA results of the narrow plate in the frequency domain.…”

“…() gives very strict constrain on , but it has been proved that eigencurrents of some canonical structures conform to Eq. (), such as spheres, infinitely long cylinders with a circular or elliptic cross section [ 5,17 ] . It is also shown that eigencurrents of arbitrarily shaped structures hardly vary with frequency if the structures are electrically small [ 18 ] .…”

“…Similar as the normal modes of the vibrating string in Eq. ( 2), the eigencurrents of a narrow plate approximately equal to [16] Jn (x, jω) = x sin (k…”

Temporal Modal Analysis of Small Radiators

“…For the sake of conciseness, interested readers may refer to Ref. [16] for the CMA results of the narrow plate in the frequency domain.…”

“…() gives very strict constrain on , but it has been proved that eigencurrents of some canonical structures conform to Eq. (), such as spheres, infinitely long cylinders with a circular or elliptic cross section [ 5,17 ] . It is also shown that eigencurrents of arbitrarily shaped structures hardly vary with frequency if the structures are electrically small [ 18 ] .…”

“…Similar as the normal modes of the vibrating string in Eq. ( 2), the eigencurrents of a narrow plate approximately equal to [16] Jn (x, jω) = x sin (k…”

Systematic design of antennas using the theory of characteristic modes

“…Figure 3.29 illustrates the normalized current distribution of the first five modes of this loop at first resonance (f =370MHz). As demonstrated in [88], these currents correspond with even and odd angular Mathieu functions. Like in the circular loop, a special inductive mode, J 0 , with nearly uniform current appears.…”

Analysis and design of antennas for wireless communications using modal methods

“…In [49], characteristic modes for a conducting elliptic cylinder were analytically derived, but only for the TM case. In this case, the two-dimensional Green's function can be expressed in terms of elliptic harmonics as follows [18]: …”

Temporal Modal Analysis of Small Radiators

“…For the sake of conciseness, interested readers may refer to Ref. [16] for the CMA results of the narrow plate in the frequency domain.…”

“…() gives very strict constrain on , but it has been proved that eigencurrents of some canonical structures conform to Eq. (), such as spheres, infinitely long cylinders with a circular or elliptic cross section [ 5,17 ] . It is also shown that eigencurrents of arbitrarily shaped structures hardly vary with frequency if the structures are electrically small [ 18 ] .…”

“…Similar as the normal modes of the vibrating string in Eq. ( 2), the eigencurrents of a narrow plate approximately equal to [16] Jn (x, jω) = x sin (k…”

Systematic design of antennas using the theory of characteristic modes

“…Figure 3.29 illustrates the normalized current distribution of the first five modes of this loop at first resonance (f =370MHz). As demonstrated in [88], these currents correspond with even and odd angular Mathieu functions. Like in the circular loop, a special inductive mode, J 0 , with nearly uniform current appears.…”

Analysis and design of antennas for wireless communications using modal methods

“…In [49], characteristic modes for a conducting elliptic cylinder were analytically derived, but only for the TM case. In this case, the two-dimensional Green's function can be expressed in terms of elliptic harmonics as follows [18]: …”

Temporal Modal Analysis of Small Radiators

“…For the sake of conciseness, interested readers may refer to Ref. [16] for the CMA results of the narrow plate in the frequency domain.…”

“…() gives very strict constrain on , but it has been proved that eigencurrents of some canonical structures conform to Eq. (), such as spheres, infinitely long cylinders with a circular or elliptic cross section [ 5,17 ] . It is also shown that eigencurrents of arbitrarily shaped structures hardly vary with frequency if the structures are electrically small [ 18 ] .…”

“…Similar as the normal modes of the vibrating string in Eq. ( 2), the eigencurrents of a narrow plate approximately equal to [16] Jn (x, jω) = x sin (k…”

Systematic design of antennas using the theory of characteristic modes

“…Figure 3.29 illustrates the normalized current distribution of the first five modes of this loop at first resonance (f =370MHz). As demonstrated in [88], these currents correspond with even and odd angular Mathieu functions. Like in the circular loop, a special inductive mode, J 0 , with nearly uniform current appears.…”

Analysis and design of antennas for wireless communications using modal methods

“…In [49], characteristic modes for a conducting elliptic cylinder were analytically derived, but only for the TM case. In this case, the two-dimensional Green's function can be expressed in terms of elliptic harmonics as follows [18]: …”