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Generalized Friis Transmission Equation for Orbital Angular Momentum Radios
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- Authors
- Yong Heui Cho, Woo Jin Byun
- Issue Date
- 2019-04
- Citation
- IEEE Transactions on Antennas and Propagation, v.67, no.4, pp.2423-2429
- ISSN
- 0018-926X
- Publisher
- IEEE
- Language
- English
- Type
- Journal Article
- Abstract
- Generalization of a Friis transmission equation for orbital angular momentum (OAM) radios is rigorously formulated using the Lorentz reciprocity theorem and a near-and-far-field convolution integral (NFCI). Based on the discretization of NFCIs, we computed the generalized Friis transmission equation to obtain the power-receiving behaviors of practical helicoidal parabolic reflector antennas (HPRAs) with continuously deformed surfaces. A simplified Friis equation is also used for computing the link budget and approximate Rayleigh length of discrete uniform circular arrays (UCAs) composed of 2× 2 dipole antennas. The transmission coefficients for the given OAM modes, represented by our equations for the HPRA and UCA, agree very well with commercial numerical simulators. In addition, an m th-order NFCI, which is an orthogonal convolution integral for the m th OAM mode, is proposed to define a figure of merit for the OAM mode purity of transmitting and receiving antennas.
- KSP Keywords
- Convolution integral, Dipole antenna, Far-field, Figure of merit, Friis Equation, Link budget, Lorentz reciprocity, Mode purity, OAM modes, Orbital Angular Momentum, Rayleigh length