Wolfram|Alpha

Computing...

Input information:

helical antenna |  \nhelix circumference | 4 cm  (centimeters)\nhelix pitch angle | 10 turns\nnumber of turns | 10\ncenter wavelength | 3.75 cm  (centimeters)


Formulas:

p = (L\/lambda)\/(S\/lambda+(2 N+1)\/(2 N)) | HP = (52 °)\/((C sqrt((N S)\/lambda))\/lambda)\nD = (15 (C\/lambda)^2 N S)\/lambda | AR = (2 N+1)\/(2 N)\nR_in = (140 C)\/lambda | S = C tan(alpha)\nL = sqrt(C^2+S^2) |   |  \nC | helix circumference\nN | number of turns\nalpha | helix pitch angle\nlambda | center wavelength\np | velocity factor\nHP | half-power beamwidth\nD | directivity\nAR | axial ratio\nR_in | input impedance


Results:

p | 0.874838\nHP | 35.55°  (degrees)\nD | 32.0993\nAR | 1.05\nR_in | 149.3 Omega  (ohms)


Radiation pattern:

\n(axial mode of operation, valid for dimesions:wavelength ~ helix circumference )