Synthesis and analysis of ultra-wideband reflectarrays

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Abstract

The article is devoted to the problems of analysis and synthesis of dual-polarization ultra-wideband reflectarrays and is relevant for arrays of UWB elements of extended length such as Vivaldi antennas and TEM-horns. Synthesis and analysis are carried out in the approximation of a locally periodic array, when each of its elements can be assigned a Floquet cell. A review of the literature on UWB reflectarrays is carried out and it is shown that in most published works the dependence of the phase of the Floquet cell transmission coefficient on the angle of incidence and polarization of the exciting wave is not taken into account in the process of synthesis of the array. This article presents a procedure for the approximate synthesis of a dual-polarization UWB reflectarray taking into account the above effects. An approach to the analysis of the UWB RAA is proposed, based on the numerical calculation of the Floquet cell scattering matrix in combination with the successive approximations method. A comparison of the solutions at the first and second iterations is carried out, and the questions of further solution correction by increasing the order of approximation are discussed.

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About the authors

S. E. Bankov

Kotelnikov Institute of Radioengineering and Electronics RAS

Author for correspondence.
Email: sbankov@yandex.ru
Russian Federation, Mokhovaya Str., 11, build. 7, Moscow, 125009

M. D. Duplenkova

Kotelnikov Institute of Radioengineering and Electronics RAS

Email: sbankov@yandex.ru
Russian Federation, Mokhovaya Str., 11, build. 7, Moscow, 125009

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Supplementary files

Supplementary Files
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2. Fig. 1. Ray path in a reflective grating.

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3. Fig. 2. Local and global coordinate systems for the OAR synthesis procedure.

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4. Fig. 3. Schematic representation of the Floquet channel for the OAR EY.

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5. Fig. 4. The structure under study: (a) – fragment of the lattice, (b) – electrodynamic model of the lattice in the form of a Floquet channel.

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6. Fig. 5. Frequency dependence of the reflection coefficient of the Floquet channel for different angles of incidence, θ = 0° (1), 15° (2), 30° (3).

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7. Fig. 6. Dependence of the phase of the Floquet channel transmission coefficients Ф1, f1 (1) and Ф2, f2 (2) on the angle of incidence θ at φ = 0.

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8. Fig. 7. Lengths of the LZ depending on the coordinate xа at ya = 0 L1 (1, 3, 5) and L2 (2, 4, 6) at F = 200 (1, 2), F = 300 (3, 4), F = 400 (5, 6) for the cases: ΔX = 0, β = 0 (a); ΔX = –100, β = 30° (b).

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9. Fig. 8. Difference in phase shifts in L1 and L2 LZs depending on the EY coordinates at ya = 0; (a) – at F = 200 (1, 4), F = 300 (2, 5), F = 400 (3, 6) for the case (ΔX = 0, β = 0) – 1, 2, 3; (ΔX = –100, β = 30°) – 4, 5, 6; (b) – at F = 300 (β = 0, ΔX = –200) (1), (β = 0, ΔX = –100) (2), (β = 0, ΔX = 0) (3), (β = 15°, ΔX = 0) (4), (β = 30°, ΔX = 0) (5).

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10. Fig. 9. The principle of wave formation in the ports of the IE at the stage of analysis in zero approximation: (a) – incident wave E1 in port 1, (b) – reflected wave Ef1 in port f1.

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11. Fig. 10. The principle of formation of the reflected wave E ’f 1 in the port f1.

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12. Fig. 11. Dependences of radiation angles θ out (1), φ out (2) on xn at yn = 45 for OAR with F = 200 mm, ∆Х = –100 mm, β = 30° at frequencies of 7 GHz (a), 15 GHz (b), 27 GHz (c).

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13. Fig. 12. DN in the first (3, 4) and zero (1, 2) approximations for the main (1, 3) and cross-polarizations (2, 4).

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14. Fig. 13. RP for horizontal (a, c) and vertical (b, d) polarization as a function of angle at frequencies of 11 GHz (a, b) and 19 GHz (c, d): D(θ) – 1, D(φ) – 2.

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15. Fig. 14. Frequency dependences of the coefficient of heat transfer taking into account (1, 2, 3) and without taking into account (4, 5, 6) heat losses for β = 10° (1, 4), 20° (2, 5), 30° (3, 6).

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16. Fig. 15. Frequency dependences of the control and measurement parameters for β = 10° (1), 20° (2), 30° (3).

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