## A general method for designing circular array antennas to obtain quasi-omnidirectional patterns |

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0.5 dB fluctuation 2.0 dB fluctuation ASSUMED ELEMENT PATTERNS Bessel function center of array CIRCULAR ARRAY ANTENNAS circumference in wavelengths circumferential slot Cockrell and W. F. coefficients conducting cylinder criteria curve criteria plots criterion equation criterion is established cross plot Croswell and Knop dB or less derivatives of Jg(Z DESIGNING CIRCULAR ARRAY determining the number equa far-field pattern fluctuations far-field point finite Fourier cosine fluctu Fourier cosine series half-power beam width Hence higher derivatives illuminated rectangular aperture Jq(Z Knop ref Langley Research Center less fluctuation NASA number of sources number of terms obtain a quasi-omnidirectional OBTAIN QUASI-OMNIDIRECTIONAL PATTERNS obtain small far-field omnidirectional antenna patterns optimum number particular circumference pattern from equation pattern is expressible pattern is known physically realizable sources quasi-omnidirectional antenna pattern radians relate the number shown in figure small far-field pattern small fluctuations source patterns considered sources needed term of equation two-term cosine series width of approximately