By Everitt

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**Example text**

This situation is explicitly depicted in Fig. 7(a). As can be seen in the ﬁgure, there is a unique correspondence between each input frequency [ω x , with (ω BF ≤ ω x ≤ ω EF )] and its associated radiation angle (θ x ). Therefore, each frequency is mapped into a different angle in space. According to Eq. (15), if a CRLH LWA is excited by a modulated input pulse, as shown in Fig. 7(b), each spectral component of the signal is radiated towards a different direction Impulse-Regime Analysis of Novel Optically-Inspired Phenomena at Microwaves Impulse-Regime Analysis of Novel Optically-Inspired Phenomena at Microwaves (a) 359 (b) Fig.

13(a). Fig. 13(b) presents the input pulse train and the output pulse train at the Talbot distance z T . The reconstruction of the initial train of pulses is conﬁrmed, although a small disagreement, due to higher order terms (greater than 2) of the CRLH dispersion relation, is observed between two consecutive pulses. Fig. 13(c) and Fig. 13(d) show the input and output voltages at the fractional Talbot distances of z T /2 and z T /3, respectively. The effect of pulse multiplication is thus clearly conﬁrmed, while the distortion is smaller because less higher-order dispersion effects occur over a shorter distance of propagation.

2009b)], will be described and analyzed. In the radiative regime, the spectral-spatial decomposition property of CRLH LWAs will be exploited to characterize both, in time and in frequency, unknown fast-transient input signals. For this purpose, two different systems (namely, a real time spectrogram analyzer (RTSA) [see Gupta, Abielmona & Caloz (2009)], and a frequency resolved electrical gating (FREG) [see Gupta, Gómez-Díaz & Caloz (2009)]) will be carefully studied and simulated. In all cases, the proposed theory and phenomena will be validated by using simulation results from full-wave commercial softwares and measurements, from fabricated prototypes.