A perspective classifies angular dispersion into differentiable and non-differentiable forms and argues that the latter underlies the unusual free-space behavior of space-time wave packets.
By requiring that ω = ωo propa- gate along z (ϕo =0◦ and ka =ko), then kz =ko + (ω− ωo)/ev, whereupon ϕ(Ω)≈ q 2(1−en) Ω ωo ∝ √ Ω, which is not differ- entiable at Ω = 0
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Universality and non-differentiability: A new perspective on angular dispersion in optics
A perspective classifies angular dispersion into differentiable and non-differentiable forms and argues that the latter underlies the unusual free-space behavior of space-time wave packets.