在超快光學領域中接近單載波週期的脈衝可以應用於高階諧波產生出孤立的單發埃秒脈衝以及其他相關的技術應用，而發光範圍涵蓋在可見光到近紅外光的轉換極限(TL)脈衝恰好滿足單光學週期的特性。時至今日已經發展出幾種方法來量測這樣的超連續譜單光學週期脈衝，例如：偏振閘互相關頻率解析光閘(PG-XFROG)，二倍頻色散掃描(SHG D-scan)等等的方式。
起初我們使用修正場自相關干涉量測法(MIFA)來量測由多片薄晶體展頻法(MPC)產生的近單光學週期且超八度頻寬(octave-spanning, 大約450奈米到920奈米)的脈衝。實驗上我們應用四倍焦距的脈衝塑形器架構給予一個特定頻譜相位使輸入脈衝變為兩發相同的複製脈衝並具有指定的時間差 ，之後再用厚度為10微米的偏硼酸鋇晶體(BBO)來得到不完全的二倍頻頻譜圖(spectrogram)。基於先前的修正場自相關干涉量測法理論我們僅需二倍頻軌跡圖中的任意相鄰兩頻率軌跡即可完整還原出脈衝的資訊，然而這樣的小結論根據實驗及模擬的結果來看可能是有誤的。我們透過傅立葉關係以及二倍頻在光學上的形成來解釋唯有選擇靠近基頻譜算術平均中心頻率的相鄰兩二倍頻頻率才可一次完整還原出脈衝的資訊。

In the ultrafast optics field, quasi-single carrier cycle pulse can apply to high order harmonic generation to induce isolated attosecond pulse and other relative technical applications. The transform limited (TL) pulse in visible-to-near infrared band can just reach the near single optical cycle. Up to now, there have been developed several ways to characterize these pulses, such as attosecond streaking, polarization-gating cross-correlation frequency-resolved optical gating (PG-XFROG), second harmonic generation dispersion-scan (SHG D-scan), and so on.
Originally, we use modified interferometric field autocorrelation (MIFA) to characterize the near single cycle pulse with octave-spanning spectral range (rough 450 nm ~ 920 nm), which is generated by multiple-plates continuum (MPC) method. In the experiment, we apply 4f pulse shaper for giving the well-known spectral phase to the TL MPC and creating pulse replica with assigned delays , and then use 10 m BBO crystal to get an incomplete SHG spectrogram. Based on previous MIFA theory, it claims that selecting any one pair of two nearby SHG frequency traces can completely retrieve the pulse information; however, we find the small conclusion may be wrong according to the result of this experiment and simulation. The selected two nearby traces had better approach the SHG frequencies of the arithmetic mean of fundamental frequencies and we explain the result by the Fourier relation and SHG source in optics.

ACKNOWLEDGEMENTS……………………………………………………3
CHAPTER 1 INTRODUCTION…………………………………………10
CHAPTER 2 THEORIES………………………………………………13
2.1 Fourier analysis for pulse……………………………14
2.1.1 Pulse properties…………………………………14
2.1.2 Sampling theorem…………………………………19
2.2 4f pulse shaper………………………………………….23
2.2.1 Setup design………………………………………23
2.2.2 Shaper-assisted measurement………………….31
2.3 Modified interferometric field autocorrelation
(MIFA)…………………………………………………….35
2.3.1 Original MIFA theory……………………………35
2.3.2 Revised MIFA theory…………………………….42
CHAPTER 3 EXPERIMENTS………………………………………….45
3.1 System preparation………………………………………45
3.1.1 Multiple-plates continuum (MPC)…………….46
3.1.2 PG-XFROG and compressor……………………….48
3.1.3 Crystal thickness……………………………….51
3.2 Experimental results……………………………………53
CHAPTER 4 CONCLUSIONS AND PERSPECTIVE…………………….60
REFERENCES………………………………………………………….62
APPENDIX…………………………………………………………….65

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