Cassegrain antenna for a laser diode source using an E-A system to improve the transmission efficiency

Xinru Zhang; Huajun Yang; Ping Jiang; Miaofang Zhou; Weinan Caiyang; Yan Qin; Biao Cao; Biao Cao

doi:10.1364/AO.430954

Applied Optics
Vol. 60,
Issue 23,
pp. 6829-6836
(2021)
•https://doi.org/10.1364/AO.430954

Cassegrain antenna for a laser diode source using an E-A system to improve the transmission efficiency

Xinru Zhang, Huajun Yang, Ping Jiang, Miaofang Zhou, Weinan Caiyang, Yan Qin, and Biao Cao

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Xinru Zhang, Huajun Yang, Ping Jiang, Miaofang Zhou, Weinan Caiyang, Yan Qin, and Biao Cao, "Cassegrain antenna for a laser diode source using an E-A system to improve the transmission efficiency," Appl. Opt. 60, 6829-6836 (2021)

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Abstract

To solve the serious loss problem for central energy of the Cassegrain antenna, this paper designs a beam-shaping system, named E-A system, to convert the elliptical divergent beam with astigmatism from a laser diode into an annular collimation beam. This E-A system, comprised only of lenses with quadratic surfaces, can simultaneously realize four functions, i.e., aberration correction, beam circularization, beam collimation, and dark hollow beam generation. By adjusting the parameters, the E-A system can be used to shape elliptical astigmatic beams with different parameters. Further, the E-A system can maintain good performance at wavelengths from 500 to 1647 nm. After considering various practical factors, the transmission efficiency of the entire transmitting system can be increased to 93.91% at a wavelength of 1550 nm.

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Data Availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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	Surface Equations
Part 1	$F_{1} (x, y, z) = (1 + k_{1}) (z - z_{01})^{2} - \frac{2}{c_{1}} (z - z_{01}) + (y - y_{01})^{2} = 0$
Part 2	$F_{2} (x, y, z) = (1 + k_{2}) (z - z_{02})^{2} - \frac{2}{c_{2}} (z - z_{02}) + (x - x_{02})^{2} + (y - y_{02})^{2} = 0$
	Parameters
Part 1	$x_{01} = y_{01} = z_{01} = 0, k_{1} = \frac{y_{a}^{2}}{z_{a}^{2}} - \frac{2 y_{a}}{z_{a} \tan α} - 1, c_{1} = \frac{z_{a} \tan α}{y_{a}^{2} \tan α - y_{a} z_{a}},$
Part 2	$x_{02} = y_{02} = 0, z_{02} = d_{1} + d_{2}, k_{2} = - n^{2}, c_{2} = \frac{1}{d_{O^{'}} (n - 1)}$

	Surface Equations
Primary mirror	$F_{3} (x, y, z) = 4 f_{1} (z - z_{03}) - (x - x_{03})^{2} - (y - y_{03})^{2} = 0$
Secondary mirror	$F_{4} (x, y, z) = 4 f_{2} (z - z_{04}) - (x - x_{04})^{2} - (y - y_{04})^{2} = 0$
	Parameters
Primary mirror	$x_{03} = y_{03} = 0, z_{03} = d_{1} + d_{2} + d_{3}, y_{1} = L + L_{1}, y_{3} = \frac{{(L + L_{1})}^{2}}{L_{1}}, f_{1} = \frac{L + L_{1}}{L_{1}} f_{2}$
Secondary mirror	$x_{04} = y_{04} = 0, z_{04} = d_{1} + d_{2} + d_{3} + \frac{L}{L_{2}} f_{2}, y_{2} = L + L_{1}, y_{e} = L_{1}$

	Surface Equations
E-A system	$F_{1} (x, y, z) = - 0.9071 z^{2} - 0.4414 z + y^{2} = 0 F_{2} (x, y, z) = 1.4186 z^{2} - 96.6952 z + 1012.0446 - x^{2} - y^{2} = 0$
Antenna	$F_{3} (x, y, z) = 960 (z - 71.11) - x^{2} - y^{2} = 0 F_{4} (x, y, z) = 320 (z - 231.11) - x^{2} - y^{2} = 0$
	Parameters
Incident beam	$λ = 1550 n m, Δ f = 0.424 m m, θ_{x} = 0.1745 r a d, θ_{y} = 0.4887 r a d$
E-A system	$\begin{array}{l} n = 1.5552, d_{0} = 0.18 m m, d_{1} = 5 m m, d_{2} = 50.25 m m, d_{3} = 15.86 m m, k_{1} = - 1.9071, \\ c_{1} = 4.5309, k_{2} = - 2.4186, c_{2} = 0.0333, θ = 0.7854 r a d, d = 10 m m, L = 20 m m, \\ r_{c} = 0.5 m m, y_{d} = 0.3536 m m \end{array}$
Antenna	$f_{1} = 240 m m, f_{2} = 80 m m, y_{1} = y_{2} = 30 m m, y_{3} = 90 m m, y_{e} = 10 m m$

	Surface Equations
Part 1	$F_{1} (x, y, z) = (1 + k_{1}) (z - z_{01})^{2} - \frac{2}{c_{1}} (z - z_{01}) + (y - y_{01})^{2} = 0$
Part 2	$F_{2} (x, y, z) = (1 + k_{2}) (z - z_{02})^{2} - \frac{2}{c_{2}} (z - z_{02}) + (x - x_{02})^{2} + (y - y_{02})^{2} = 0$
	Parameters
Part 1	$x_{01} = y_{01} = z_{01} = 0, k_{1} = \frac{y_{a}^{2}}{z_{a}^{2}} - \frac{2 y_{a}}{z_{a} \tan α} - 1, c_{1} = \frac{z_{a} \tan α}{y_{a}^{2} \tan α - y_{a} z_{a}},$
Part 2	$x_{02} = y_{02} = 0, z_{02} = d_{1} + d_{2}, k_{2} = - n^{2}, c_{2} = \frac{1}{d_{O^{'}} (n - 1)}$

	Surface Equations
Primary mirror	$F_{3} (x, y, z) = 4 f_{1} (z - z_{03}) - (x - x_{03})^{2} - (y - y_{03})^{2} = 0$
Secondary mirror	$F_{4} (x, y, z) = 4 f_{2} (z - z_{04}) - (x - x_{04})^{2} - (y - y_{04})^{2} = 0$
	Parameters
Primary mirror	$x_{03} = y_{03} = 0, z_{03} = d_{1} + d_{2} + d_{3}, y_{1} = L + L_{1}, y_{3} = \frac{{(L + L_{1})}^{2}}{L_{1}}, f_{1} = \frac{L + L_{1}}{L_{1}} f_{2}$
Secondary mirror	$x_{04} = y_{04} = 0, z_{04} = d_{1} + d_{2} + d_{3} + \frac{L}{L_{2}} f_{2}, y_{2} = L + L_{1}, y_{e} = L_{1}$

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Equations (19)

Applied Optics