International Journal of Antennas and Propagation

Research Article

Circular Antenna Array Synthesis Using Multiverse Optimizer

Table 3

Amplitude and position values of array elements for design examples.


		[d₁, d₂, d₃, …, d_N] in λ′s
		[I₁, I₂, I₃, …, I_N]

Figure 3	MVO	0.3285, 0.6531, 0.2366, 0.6674, 0.6277, 0.7766, 0.7634, 0.3403
		0.6649, 0.2609, 0.2650, 0.8362, 1, 0.2546, 0.8236, 0.2229
	MMVO	0.3233, 0.7422, 0.8153, 0.6103, 0.6470, 0.2177, 0.7008, 0.3244
		1, 0.3581, 0.8332, 0.7690, 0.1326, 0.3330, 0.9277, 0.1107

Figure 5	MVO	0.3012, 0.2732, 0.6967, 0.4202, 0.9751, 0.5266, 0.9490, 0.8571, 0.5480, 0.3182
		0.8811, 0.1196, 0.2380, 0.4808, 0.6397, 0.7434, 0.4745, 0.2438, 1, 0.1999
	MMVO	0.1903, 0.1571, 0.9053, 0.4085, 0.9862, 0.5522, 0.9654, 0.4765, 0.8877, 0.3308
		0.3621, 0.7931, 0.4929, 0.2722, 0.9545, 0.8882, 0.3011, 0.5697, 1, 0.2856

Figure 6	MVO	0.3204, 0.7554, 0.7360, 0.6310, 0.9008, 0.4192, 0.9589, 0.1723, 0.7213, 0.3601, 0.9386, 0.2339
		0.9903, 0.4331, 0.6986, 0.4033, 1, 0.9938, 0.7948, 0.1214, 0.2272, 0.5110, 0.9336, 0.5467
	MMVO	0.3159, 0.7274, 0.7454, 0.6109, 0.1259, 0.7763, 0.4936, 0.9420, 0.8175, 0.4464, 0.8833, 0.2628
		0.6145, 0.3664, 0.6626, 0.1591, 0.1449, 0.9212, 1, 0.7296, 0.2799, 0.4902, 0.6086, 0.6184

Figure 7	MVO	0.2479, 0.4334, 0.9496, 0.7325, 0.6853, 0.5666, 0.9143, 0.5344, 0.1350, 0.3199, 0.1926, 0.4758, 0.7640, 0.2852, 0.4629, 0.7318, 0.5492, 0.9961, 0.5618, 0.1188
		0.5082, 0.7995, 0.7677, 0.6978, 0.5223, 0.7467, 0.6694, 0.7362, 0.7616, 0.8147, 0.6043, 0.3239, 0.7624, 0.2968, 1, 0.8843, 0.9138, 0.6642, 0.9445, 0.8043
	MMVO	0.3013, 0.4719, 0.8251, 0.1155, 0.6402, 0.8880, 0.3553, 0.9541, 0.5113, 0.1000, 0.2801, 0.4103, 0.8738, 0.2270, 0.6347, 0.7450, 0.6127, 0.9866, 0.4472, 0.2223
		0.7599, 0.2832, 0.1555, 0.6541, 0.3102, 0.5869, 0.9399, 0.3185, 1, 0.1036, 0.5827, 0.7808, 0.1381, 0.4406, 0.6412, 0.7885, 0.5329, 0.5145, 0.9146, 0.4414

Figure 8	MVO	0.1008, 0.1130, 0.4527, 0.4436, 0.9314, 0.2575, 0.2372, 0.3995, 0.8275, 0.9908, 0.3814, 1.0813, 0.9903, 0.3910, 0.3395, 0.8914, 0.4817, 0.4714, 0.1111, 0.1069
		0.5859, 0.5800, 0.9237, 0.6956, 0.7435, 0.8154, 0.3572, 0.7263, 0.9135, 0.7137, 0.9515, 0.7478, 0.7961, 0.7528, 1, 0.6600, 0.9821, 0.3981, 0.7731, 0.5785
	MMVO	0.6364, 0.3793, 0.9334, 0.5274, 0.3513, 0.9207, 0.4730, 0.1859, 0.5125, 0.3305, 0.5517, 0.3355, 0.8594, 0.5929, 0.3201, 0.6699, 0.2335, 0.5339, 0.3883, 0.2644
		0.7025, 0.7391, 0.2558, 0.3866, 0.8487, 0.5303, 0.2365, 0.7463, 1, 0.8262, 0.1349, 0.9108, 0.1730, 0.7486, 0.6675, 0.2566, 0.7451, 0.2617, 0.6425, 0.6143