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2.1 Ultrafast solid-state lasers - ETH - the Keller Group

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Ref. p. 134] <strong>2.1</strong> <strong>Ultrafast</strong> <strong>solid</strong>-<strong>state</strong> <strong>lasers</strong> 77<br />

For high pulse repetition rate an even simpler cavity design has been used. In <strong>the</strong> 1-μm spectral<br />

region, Nd:YVO 4 has been found to be a particularly suitable gain medium for very high repetition<br />

rates, as already discussed in Sect. <strong>2.1</strong>.3.1. For repetition rates of 40 GHz and above, a quasimonolithic<br />

design [99Kra2] is useful, where <strong>the</strong> output-coupler mirror is a dielectric coating directly<br />

fabricated on a curved and polished side of <strong>the</strong> laser crystal, while <strong>the</strong> SESAM is attached to <strong>the</strong><br />

o<strong>the</strong>r side of <strong>the</strong> crystal (see Fig. <strong>2.1</strong>.7b). The crystal may be anti-reflection-coated on <strong>the</strong> flat<br />

side, or just uncoated. Note that with a reflecting coating on this side, <strong>the</strong>re is a cavity effect:<br />

Depending on <strong>the</strong> exact size of <strong>the</strong> air gap between crystal and SESAM, <strong>the</strong> optical field can<br />

more or less penetrate <strong>the</strong> SESAM structure, and accordingly <strong>the</strong> effective modulation depth and<br />

saturation fluence of <strong>the</strong> SESAM are modified. In this case for optimum performance, one has<br />

to manipulate <strong>the</strong> width of <strong>the</strong> air gap. A quasi-monolithic cavity design has also been used for<br />

Q-switched microchip <strong>lasers</strong> (Fig. <strong>2.1</strong>.6) and described in more detail in Sect. <strong>2.1</strong>.3.1.<br />

Counterpropagating waves overlap in <strong>the</strong> crystal, leading to <strong>the</strong> phenomenon of spatial hole<br />

burning, which can have significant influence on <strong>the</strong> mode-locking behavior [95Bra2, 95Kae3,<br />

01Pas2]. In particular, it allows for shorter pulses, although often with some amount of chirp,<br />

because gain narrowing is effectively eliminated: even without a mode-locker, such <strong>lasers</strong> tend to<br />

run with a significant emission bandwidth, and <strong>the</strong> mode-locker more or less only has to lock <strong>the</strong><br />

phases of <strong>the</strong> running cavity modes.<br />

<strong>2.1</strong>.3.3.2 Typical femtosecond <strong>lasers</strong><br />

Most femtosecond <strong>lasers</strong> are based on an end-pumped laser setup, with a broad-band laser medium<br />

such as Ti 3+ :sapphire, Cr 3+ :LiSAF, Nd:glass or Yb 3+ :glass (see Sect. <strong>2.1</strong>.3.1 for an overview). In<br />

<strong>the</strong> case of Ti 3+ :sapphire, <strong>the</strong> pump source can be ei<strong>the</strong>r an Ar ion laser or a frequency-doubled<br />

<strong>solid</strong>-<strong>state</strong> laser. In any case, one typically uses a few watts of pump power in a beam with<br />

good transverse beam quality, because <strong>the</strong> mode radius in <strong>the</strong> Ti 3+ :sapphire rod is usually ra<strong>the</strong>r<br />

small. O<strong>the</strong>r gain media like Cr 3+ :LiSAF, Nd:glass or Yb 3+ :glass are typically pumped with highbrightness<br />

diode <strong>lasers</strong>, delivering a few watts with beam-quality factor M 2 in <strong>the</strong> order of 10 in<br />

one direction and < 5 in <strong>the</strong> o<strong>the</strong>r direction, which allows for diffraction-limited laser output with<br />

typically a few hundred milliwatts.<br />

The typical laser cavities (see Fig. <strong>2.1</strong>.7c as an example) contain two curved mirrors in a<br />

distance of a few centimeters on both sides of <strong>the</strong> gain medium. The pump power is usually injected<br />

through one or both of <strong>the</strong>se mirrors, which also focus <strong>the</strong> intracavity laser beam to an appropriate<br />

beam waist. One of <strong>the</strong> two “arms” of <strong>the</strong> cavity ends with <strong>the</strong> output coupler mirror, while <strong>the</strong><br />

o<strong>the</strong>r one may be used for a SESAM as a passive mode-locker. One arm typically contains a<br />

prism pair (Sect. <strong>2.1</strong>.5.2.3), GTI (Sect. <strong>2.1</strong>.5.<strong>2.1</strong>) or chirped mirrors (Sect. <strong>2.1</strong>.5.2.4) for dispersion<br />

compensation, which is necessary for femtosecond pulse generation. In most cases, femtosecond<br />

<strong>lasers</strong> operate in <strong>the</strong> regime of negative overall intracavity dispersion so that soliton-like pulses are<br />

formed.<br />

Instead of a SESAM, or in addition to it, <strong>the</strong> Kerr lens in <strong>the</strong> gain medium can be used for<br />

mode-locking (Sect. <strong>2.1</strong>.4.4). In most cases, soft-aperture KLM is used. Here, <strong>the</strong> cavity design<br />

is made so that <strong>the</strong> Kerr lens reduces <strong>the</strong> mode area for high intensities and thus improves <strong>the</strong><br />

overlap with <strong>the</strong> (strongly focused) pump beam. This is achieved by operating <strong>the</strong> laser cavity near<br />

one of <strong>the</strong> stability limits of <strong>the</strong> cavity, which are found by varying <strong>the</strong> distance between <strong>the</strong> above<br />

mentioned curved folding mirrors, or some o<strong>the</strong>r distance in <strong>the</strong> cavity.<br />

For <strong>the</strong> shortest pulse durations around 5–6 fs, <strong>the</strong> strong action of KLM as an effective fast<br />

saturable absorber is definitely required. Also double-chirped mirrors (Sect. <strong>2.1</strong>.5.2.4) are required<br />

for precise dispersion compensation over a very broad bandwidth. Typically, several dispersive<br />

mirrors are used in <strong>the</strong> laser cavity, and additional mirrors may be used for fur<strong>the</strong>r external<br />

compression. A broadband SESAM allows for self-starting mode-locking.<br />

Landolt-Börnstein<br />

New Series VIII/1B1

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