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Polar field on a planar surface with its texture described by m̂(x, y) = cos ϕ x̂ + sin ϕ ŷ, with ϕ(r, θ) = qDθ. Shown are patterns corresponding to (a)qD = +1, (b)qD = −1, (c)qD = +2, (d)qD = −2, (e)qD = +3, and (f)qD = −3.