E (ω) = \int_{- \infty}^{\infty} E (t) \exp (- i ω t) d t = \int_{- τ / 2}^{τ / 2} E_{0} \exp [i (ω_{0} - ω) t] d t

${E(\omega) = \int_{-\infty}^\infty E(t) \exp(-i \omega t) dt = \int_{-\tau/2}^{\tau/2} E_0 \exp[i(\omega_0 - \omega)t] dt}$

Error