Temporal and Spectral Characterization of Near-Ir Femtosecond Optical Parametric Oscillator Pulses
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MSc in Photonics PHOTONICSBCN Universitat Politècnica de Catalunya (UPC) Universitat Autònoma de Barcelona (UAB) Universitat de Barcelona (UB) Institut de Ciències Fotòniques (ICFO) http://www.photonicsbcn.eu Master in Photonics MASTER THESIS WORK TEMPORAL AND SPECTRAL CHARACTERIZATION OF NEAR-IR FEMTOSECOND OPTICAL PARAMETRIC OSCILLATOR PULSES Parisa Farzam Supervised by Dr. Majid Ebrahim-Zadeh, (ICFO, ICREA) and Dr. Lukasz Kornaszewski (ICFO) Presented on date 9th September 2009 Registered at Temporal and spectral characterization of near-IR femtosecond optical parametric oscillator pulses Parisa Farzam ICFO-Institut de Ciències Fotòniques, Nonlinear optics group, Mediterranean Technology Park, 08860 Castelldefels (Barcelona), Spain E-mail: [email protected] Abstract. Recently, there has been growing interest in ultrashort pulse measurement techniques. The aim of this work is to utilize interferometric autocorrelator in order to characterize near- IR femtosecond optical parametric oscillator (OPO) pulses. Although considerable research has been devoted to using nonlinear crystals in the autocorrelators, an attractive alternative to this approach remains two-photon absorption in photodiodes. In the setup we have used a commercial semiconductor which has several advantages to second harmonic generation technique. Conventional methods in autocorrelation analysis use secant hyperbolic square (sech2) assumption to figure out the shape of pulse; but we have developed a software to find out the pulse shape by guessing the phase. The comparison between results from phase-guessing method and sech2 assumption shows that the first method is more flexible and gives much information but it needs to be enhanced in order to find the best phase automatically. Keywords: ultrashort pulse measurement, autocorrelation, two-photon absorption, optical parametric oscillator. 1. Introduction The ultrashort pulse is a pulse whose duration is at most a few tens of picoseconds, and often in the range of femtosecond. It is usually generated by means of passive mode locking technique, but sometimes also with free electron lasers. Moreover it is possible to start with longer pulses and apply some methods of pulse compression. In dealing with ultrashort pulses new issues do arise; for instance, the shorter the pulse, the broader its spectrum [1]. The broad optical bandwidth of such pulses leads to problems such as the chromatic dispersion of lens materials, which leads to chromatic aberrations of the focusing optics unless special correction techniques are employed. Furthermore all optical components, for instance mirrors, lenses etc. should work properly in entire range of pulse bandwidth which is very wide. The other problem with ultrashort pulses is the characterization of them. As these pulses shrink in length and grow in utility, the ability to measure them becomes increasingly important. There are several reasons for this. First, precise knowledge of the pulse properties is necessary for verifying theoretical models of pulse creation. Second, in order to make even shorter pulses, it is necessary to understand the distortions that limit the length of currently available pulses. Third, in experiments using these pulses, it is always important to know at least the pulse length in order to determine the temporal resolution of a given experiment. Moreover, in many experiments additional details of the pulse’s structure play an important role in determining the outcome of the experiment. Of particular importance is the variation of frequency during the pulse, known as ‘‘chirp’’. [2] Measurement of pulse means finding intensity and phase in either time or frequency domain. In order to measure an event in time we need to use a faster event. But how can we measure the fastest event? Since no shorter event is available, we use the pulse to measure itself. [1] Temporal and spectral characterization of near-IR femtosecond optical parametric oscillator pulses Such pulses are generally characterized using auto- or cross-correlation methods which conventionally involve splitting an ultrashort laser pulse by means of beam-splitter, adding a variable relative time delay between the split pulses, and spatially overlapping the two pulses in a nonlinear crystal (with the correct crystal orientation for phase-matching) for second-harmonic generation (SHG) or third harmonic generation (THG) followed by a linear detector for example: photo-multiplier tube (PMT) or charged coupled device (CCD). [3-5] The most common method used to infer the temporal width of a pulse is based on a Michelson- type autocorrelator and the generation of a phase-matched second harmonic signal. Although, frequency-resolved optical gating (FROG) [6] and spectral-phase interferometry for direct electric-field reconstruction (SPIDER) [7] have been successfully employed for the intensity and phase measurement of femtosecond optical pulses, interferometric autocorrelation (IAC) has considerable advantages over them. For instance: easy implementation, self-calibration from interferometric fringes, and alignment confirmation through symmetry and contrast ratio, and requirement for laser pulses of much lower intensities than either FROG or SPIDER because it does not resolve spectrally the second-harmonic or sum-frequency-generated spectrum of the laser pulse. Furthermore, it can also be utilized as a real-time diagnostic of several-cycle pulses because it explicitly reveals the number of cycles, and its fringe structure is sensitive to the intensity and phase of the pulse. Although there are some limits for IAC such as absence of unique pulse retrieval and lack of obvious shape-chirp correspondence, due to these experimental advantages, IAC can become a more powerful technique for the temporal characterization of femtosecond laser pulses, as long as it is accompanied by a good phase- retrieval algorithm. [8] There are various forms of autocorrelation in optics depending on what is being measured. The simplest optical autocorrelation is that of the field autocorrelation where the electric field, E, is what we are interested in. The electric field is a function of time and so we write its autocorrelation as: ′ −∞ ∗ ′ (1) 퐴1 푡 = −∞ 퐸 푡 퐸 푡 − 푡 푑푡. Whereas 푡′ is the time delay introduced. A field autocorrelation is also referred to as a first order autocorrelation. It is related to the spectrum by a Fourier transform: 퐼 푓 = 퐹 퐴1 . (2) Overlapping of two pulses (E t and E t − t′ ) in a SHG crystal will produce light at twice the frequency of input light with a field that is given by: 푆퐻퐺 ′ 퐸푠푖푔 = 퐸 푡 퐸 푡 − 푡 . (3) This field has an intensity that’s proportional to the product of the intensities of the two input pulses: 푆퐻퐺 ′ 퐼푠푖푔 = 퐼 푡 퐼(푡 − 푡 ). (4) SHG Detectors are usually too slow to time resolve Isig , this measurement produces the time integral, which is the definition of intensity autocorrelation. ∞ ′ ′ (5) 퐴2 푡 = −∞ 퐼(푡)퐼 푡 − 푡 푑푡. In this work we deal with second order interferometric autocorrelation: ∞ ′ ′ 2 2 (6) 퐺2 푡 = −∞ 퐸 푡 + 퐸 푡 − 푡 푑푡. Temporal and spectral characterization of near-IR femtosecond optical parametric oscillator pulses ′ It can be measured experimentally. An example of measured signal of 퐺2 푡 is shown in figure1. 8 7 6 5 4 autocorrelation [a.u.] autocorrelation 3 2 1 0 -800 -600 -400 -200 0 200 400 600 800 delay [fs] Figure 1. Example of second order autocorrelation of an OPO. ′ In order to find the equations of upper and lower envelope we analyze 퐺2 푡 : ′ ∞ ′ 2 2 퐺2 푡 = −∞ 퐸 푡 + 퐸 푡 − 푡 푑푡 = ∞ ∞ + 2 퐼2(푡) 푑푡 + 4 퐼(푡)퐼 푡 − 푡′ 푑푡 + (7) − ∞ − ∞ 푘1 (푓=0) 푘2 (푓=0) ∞ ∞ + 퐸2 푡 퐸∗2 푡 − 푡′ 푑푡 + 퐸∗2 푡 퐸2 푡 − 푡′ 푑푡 + (8) − ∞ − ∞ 푘3푎 , 푘3푏 (푓=2푓0) ∞ ∞ + 2 퐸 푡 퐼(푡)퐸∗ 푡 − 푡′ 푑푡 + 2 퐸∗ 푡 퐼 푡 퐸 푡 − 푡′ 푑푡 + (9) − ∞ − ∞ 푘4푎 , 푘4푏 (푓=푓0) ∞ ∞ + 2 퐸 푡 퐼(푡 − 푡′ )퐸∗ 푡 − 푡′ 푑푡 + 2 퐸∗ 푡 퐼 푡 − 푡′ 퐸 푡 − 푡′ 푑푡. − ∞ − ∞ (10) 푘5푎 , 푘5푏 (푓=푓0) Lower envelope of interferometric autocorrelation: 푀푖푛 퐺2 = 푘1 + 푘2 − 2. ( 푘4푎 + 푘5푎 − 푘3푎 ). (11) Upper envelope of interferometric autocorrelation: 푀푎푥 퐺2 = 푘1 + 푘2 + 2. ( 푘4푎 + 푘5푎 + 푘3푎 ). (12) The equation (6) is definition of interferometric autocorrelation. 푘1 is constant and just shows background intensity. k2 is intensity autocorrelation and k3 is second harmonic autocorrelation or second harmonic interferogram. [1,9] If we apply Fourier transform on autocorrelation we will attain its spectrum. Temporal and spectral characterization of near-IR femtosecond optical parametric oscillator pulses 4000 3500 3000 k , k 1 2 2500 2000 Intensity [a.u] Intensity 1500 k , k 1000 k , k 4a 5a 4b 5b k k 3a 500 3b 0 -2f -2f 0 f 2f Frequency 0 0 0 0 ′ Figure 2. Fourier transform of 퐺2 푡 corresponding to autocorrelation pattern of figure1, the entire trace is shifted so that the center of it coincides with zero frequency. Optical autocorrelation using two-photon absorption (TPA) in commercial semiconductor devices provides a convenient, sensitive, and inexpensive alternative to standard techniques using nonlinear crystals. [9] The use of TPA for auto-correlation measurements offers several advantages over the SHG technique. [11] First, the process can be observed with low-intensity signals. Second, phase matching is not required, therefore process is available over a wide bandwidth. Third, each two-photon transition produces a carrier or photoelectron within the semiconductor that can be measured by simple direct electrical detection. Finally, compared with second-harmonic generation, two photon absorption exhibits less polarization sensitivity because it is primarily an energy transfer process. [12] 2. Measurement 2.1. Source (Titanium: sapphire, optical parametric oscillator) The source which we are going to measure the interferometric autocorrelation and spectrum of it is a femtosecond optical parametric oscillator (OPO). An OPO is a coherent light source based on parametric amplification within an optical resonator. It is similar to a laser, also using a kind of laser resonator, but based on optical gain from parametric amplification in a nonlinear crystal (in this case Periodically poled Lithium Niobate (PPLN)) rather than from stimulated emission.