Inhomogeneous lens antenna design with fan-beam radiation pattern

Mohammad Mahdi Taskhiri; Mohammad Khalaj-Amirhosseini

doi:10.3788/COL201614.121601

Journals >Chinese Optics Letters >Volume 14 >Issue 12 >Page 121601 > Article

Chinese Optics Letters
Vol. 14, Issue 12, 121601 (2016)

Inhomogeneous lens antenna design with fan-beam radiation pattern

Mohammad Mahdi Taskhiri^* and Mohammad Khalaj-Amirhosseini

Author Affiliations

School of Electrical Engineering, Iran University of Science and Technology, Tehran 1684613114, Iran

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DOI: 10.3788/COL201614.121601 Cite this Article Set citation alerts

Mohammad Mahdi Taskhiri, Mohammad Khalaj-Amirhosseini. Inhomogeneous lens antenna design with fan-beam radiation pattern[J]. Chinese Optics Letters, 2016, 14(12): 121601 Copy Citation Text

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Abstract

This Letter presents an original technique to design and synthesize an inhomogeneous asymmetrical lens resulting in a special fan-beam radiation pattern in a wide frequency bandwidth. The vertical and horizontal planes of the fan-beam radiation pattern can be determined separately. Wide angle search and detection are achievable by using this type of lens antenna because of its suitable radiation pattern. The proposed relative index profile is validated by the means of commercial CST software and an FDTD scheme.

n^{2} (ρ, z) = {\dot{ρ}}^{2} + {\dot{z}}^{2} = {(\frac{\partial ρ}{\partial t})}^{2} + {(\frac{\partial z}{\partial t})}^{2} .

(1)

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{\begin{cases} z (t) = M_{1} \sin (p \frac{t}{t_{f}}) + M_{2} \cos (p \frac{t}{t_{f}}) + M_{3} \\ ρ (t) = N_{1} \sin (q \frac{t}{t_{f}}) + N_{2} \cos (q \frac{t}{t_{f}}) + N_{3} \end{cases},

(2)

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{\begin{cases} M_{3} = - f - M_{2}, N_{3} = - N_{2} \\ M_{1} = \frac{t_{f} \cos (α)}{p}, N_{1} = \frac{t_{f} \sin (α)}{q} \end{cases},

(6)

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{\begin{cases} M_{2} = \frac{p f - t_{f} \cos (α) \sin (p)}{p (\cos (p) - 1)}, N_{2} = \frac{q (\frac{2 α}{π} d) - t_{f} \sin (α) \sin (q)}{q (\cos (q) - 1)} \\ \tan (p / 2) (t_{f} (\cos (α) + 1)) = p f, \tan (q / 2) (t_{f} \sin (α)) = q (\frac{2 α}{π} d) . \end{cases}

(7)

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Mohammad Mahdi Taskhiri, Mohammad Khalaj-Amirhosseini. Inhomogeneous lens antenna design with fan-beam radiation pattern[J]. Chinese Optics Letters, 2016, 14(12): 121601

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