## Stored Energy and Quality Factor of Spherical Wave Functions–in Relation to Spherical Antennas With Material Cores

Publication: Research - peer-review › Journal article – Annual report year: 2012

### Standard

**Stored Energy and Quality Factor of Spherical Wave Functions–in Relation to Spherical Antennas With Material Cores.** / Hansen, Troels V.; Kim, Oleksiy S.; Breinbjerg, Olav.

Publication: Research - peer-review › Journal article – Annual report year: 2012

### Harvard

*I E E E Transactions on Antennas and Propagation*, vol 60, no. 3, pp. 1281-1290., 10.1109/TAP.2011.2180330

### APA

*I E E E Transactions on Antennas and Propagation*,

*60*(3), 1281-1290. 10.1109/TAP.2011.2180330

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### MLA

*I E E E Transactions on Antennas and Propagation*. 2012, 60(3). 1281-1290. Available: 10.1109/TAP.2011.2180330

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### Author

### Bibtex

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### RIS

TY - JOUR

T1 - Stored Energy and Quality Factor of Spherical Wave Functions–in Relation to Spherical Antennas With Material Cores

AU - Hansen,Troels V.

AU - Kim,Oleksiy S.

AU - Breinbjerg,Olav

PY - 2012

Y1 - 2012

N2 - We present closed-form expressions for central properties of spherical wave functions of arbitrary order in relation to arbitrarily sized spherical antennas with lossless solid material cores. These properties are the electric or magnetic spherical surface current distribution radiating a spherical wave, the excitation coefficients for the internal and external spherical waves, the radiated power, the internal and external stored electric and magnetic energies, the difference of total electric and total magnetic energy, the cavity and radiating resonance conditions, and the quality factor. We investigate the variation of the internal/external and electric/magnetic stored energies with the electrical size of the antenna to study their relative significance for the quality factor.

AB - We present closed-form expressions for central properties of spherical wave functions of arbitrary order in relation to arbitrarily sized spherical antennas with lossless solid material cores. These properties are the electric or magnetic spherical surface current distribution radiating a spherical wave, the excitation coefficients for the internal and external spherical waves, the radiated power, the internal and external stored electric and magnetic energies, the difference of total electric and total magnetic energy, the cavity and radiating resonance conditions, and the quality factor. We investigate the variation of the internal/external and electric/magnetic stored energies with the electrical size of the antenna to study their relative significance for the quality factor.

U2 - 10.1109/TAP.2011.2180330

DO - 10.1109/TAP.2011.2180330

M3 - Journal article

VL - 60

SP - 1281

EP - 1290

JO - I E E E Transactions on Antennas and Propagation

T2 - I E E E Transactions on Antennas and Propagation

JF - I E E E Transactions on Antennas and Propagation

SN - 0018-926X

IS - 3

ER -