Ultrashort Laser Pulse Phenomena, Second Edition by Jean-Claude Diels

By Jean-Claude Diels

Ultrashort Laser Pulse Phenomena, 2e serves as an creation to the phenomena of extremely brief laser pulses and describes how this know-how can be utilized to check difficulties in parts resembling electromagnetism, optics, and quantum mechanics. Ultrashort Laser Pulse Phenomena combines theoretical backgrounds and experimental thoughts and should function a guide on designing and developing femtosecond ("faster than electronics") structures or experiments from scratch. past the straightforward optical procedure, a number of the assets of ultrashort pulses are provided, back with emphasis at the uncomplicated techniques and the way they follow to the layout of specific resources (dye lasers, reliable kingdom lasers, semiconductor lasers, fiber lasers, and assets in response to frequency conversion).

*Provides a simple to persist with consultant via "faster than electronics" probing and detection methods
*THE guide on designing and developing femtosecond platforms and experiments
*Discusses crucial know-how for purposes in micro-machining, femtochemistry, and clinical imaging

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This is to be illustrated in more detail for Gaussian pulse profiles and Gaussian beams. As we have seen in the previous section the quadratic phase factor in Eq. 190) broadens an unchirped input pulse and leads to a (linear) frequency sweep across the pulse (chirp) although the pulse spectrum remains unchanged. In an analogous manner we can interpret Eq. 189) for the beam profile. A bandwidth-limited Gaussian beam means a beam without phase variation across the beam, which, in terms of Eq. 180), requires a radius of curvature of the phase front R = oo.

165) for the spectral phase at the output oc {^) = ^i„{^)-^b„{^-a,tf. 170) 44 Fundamentals It is interesting to investigate what happens if the linear optical element is chosen to compensate for the phase of the input field. 171) Om(^) A closer inspection of Eq. 169) shows that when Eq. 171) is satisfied, all spectral components are in phase for t-b\ = 0 , leading to a pulse with maximum peak intensity, as was discussed in previous sections. We will come back to this important point when discussing pulse compression.

71) shows that the finite memory time of matter requires not only 6, x to be frequency dependent but also that they be complex. The real and imaginary part of €, x ^re not independent of each other but related through a Kramers-Kronig relation. The consideration of a real €{Q) is justified as long as we can neglect (linear) losses or gain. This is valid for transparent samples or propagation lengths which are too short for these processes to become essential for the pulse shaping. 141) e{Q)^i€i{Q).

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