Cassegrain antenna with a semitransparent secondary mirror

Weinan Caiyang; Huajun Yang; Ping Jiang; Wensen He; Yu Tian; Xue Chen

doi:10.1364/AO.56.005080

Applied Optics
Vol. 56,
Issue 17,
pp. 5080-5085
(2017)
•https://doi.org/10.1364/AO.56.005080

Cassegrain antenna with a semitransparent secondary mirror

Weinan Caiyang, Huajun Yang, Ping Jiang, Wensen He, Yu Tian, and Xue Chen

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Weinan Caiyang, Huajun Yang, Ping Jiang, Wensen He, Yu Tian, and Xue Chen, "Cassegrain antenna with a semitransparent secondary mirror," Appl. Opt. 56, 5080-5085 (2017)

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Abstract

With the help of the vector theory of reflection and refraction, a novel emitting Cassegrain antenna with a semitransparent secondary mirror has been proposed and analyzed for a distant point source. Based on the absorptivity valued at 3.00% and the reflectivity valued at 0.10%, this new emitting antenna can increase the transmission efficiency from 63.65% to 93.85%. In addition, an off-axis parabolic receiving antenna corresponding to the emitting antenna is designed and the 3D ray-trace simulation result is given. According to the simulation result, this receiving antenna can nicely converge the rays from the emitting antenna.

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Part	Surface Equations
Primary mirror	$F_{1} (x, y, z) = 2 p_{1} (x - x_{1}) - {(y - y_{1})}^{2} - {(z - z_{1})}^{2} = 0$ (4)
Secondary mirror	$F_{2} (x, y, z) = \frac{{(x - x_{2})}^{2}}{a_{1}^{2}} - \frac{{(y - y_{2})}^{2}}{b_{1}^{2}} - \frac{{(z - z_{2})}^{2}}{b_{1}^{2}} - 1 = 0$ (5)
Hyperbolic lens (front surface)	$F_{3} (x, y, z) = \frac{{(x - x_{3})}^{2}}{a_{2}^{2}} - \frac{{(y - y_{3})}^{2}}{b_{2}^{2}} - \frac{{(z - z_{3})}^{2}}{b_{2}^{2}} - 1 = 0$ (6)
Part	Parameters
Primary mirror	$p_{1} = 375 cm$ , $x_{1} = 187.9 cm$ , $y_{1} = 0$ , $z_{1} = 0$ , maximum half-aperture, $r_{\max} = 75 cm$ , minimum, $r_{\min} = 15 cm$
Secondary mirror	$a_{1} = 140 cm$ , $b_{1} = 125 cm$ , $x_{2} = 187.7 cm$ , $y_{2} = 0$ , $z_{2} = 0$ , radius $r_{s} = 15 cm$
Hyperbolic lens (front surface)	$a_{2} = 130.6 cm$ , $b_{2} = 147.7 cm$ , $x_{3} = 197.1 cm$ , $y_{3} = 0$ , $z_{3} = 0$ radius $r_{l} = 15 cm$ , refractive index $n = 1.51$

Point	$C$	$D$	$G$	$E$
Coordinate (cm)	(188.2, 15)	(327.7, 3.8)	(328.7, 15)	(375.4, 0)

Surface Equation	$F_{4} (x, y, z) = 2 p_{r} (x - x_{r}) + {(y - y_{r})}^{2} + {(z - z_{r})}^{2} = 0$ (13)
Parameters	$p_{r} = 187.5 cm$ , $x_{r} = 1000 cm$ , $y_{r} = 0$ , $z_{r} = - 100 cm$ , maximum half-aperture, $r_{r \max} = 175 cm$ , minimum half-aperture, $r_{r \min} = 25 cm$

Part	Surface Equations
Primary mirror	$F_{1} (x, y, z) = 2 p_{1} (x - x_{1}) - {(y - y_{1})}^{2} - {(z - z_{1})}^{2} = 0$ (4)
Secondary mirror	$F_{2} (x, y, z) = \frac{{(x - x_{2})}^{2}}{a_{1}^{2}} - \frac{{(y - y_{2})}^{2}}{b_{1}^{2}} - \frac{{(z - z_{2})}^{2}}{b_{1}^{2}} - 1 = 0$ (5)
Hyperbolic lens (front surface)	$F_{3} (x, y, z) = \frac{{(x - x_{3})}^{2}}{a_{2}^{2}} - \frac{{(y - y_{3})}^{2}}{b_{2}^{2}} - \frac{{(z - z_{3})}^{2}}{b_{2}^{2}} - 1 = 0$ (6)
Part	Parameters
Primary mirror	$p_{1} = 375 cm$ , $x_{1} = 187.9 cm$ , $y_{1} = 0$ , $z_{1} = 0$ , maximum half-aperture, $r_{\max} = 75 cm$ , minimum, $r_{\min} = 15 cm$
Secondary mirror	$a_{1} = 140 cm$ , $b_{1} = 125 cm$ , $x_{2} = 187.7 cm$ , $y_{2} = 0$ , $z_{2} = 0$ , radius $r_{s} = 15 cm$
Hyperbolic lens (front surface)	$a_{2} = 130.6 cm$ , $b_{2} = 147.7 cm$ , $x_{3} = 197.1 cm$ , $y_{3} = 0$ , $z_{3} = 0$ radius $r_{l} = 15 cm$ , refractive index $n = 1.51$

Point	$C$	$D$	$G$	$E$
Coordinate (cm)	(188.2, 15)	(327.7, 3.8)	(328.7, 15)	(375.4, 0)

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Applied Optics