利用多薄片晶體產生之超連續光譜(MPC)提供一種簡便且穩定的展頻方式，透過這種分散式的晶體擺放，操作在高能量範圍之超連續光譜可以避免均勻光束裂變成多個局部光束。在這種分散式的架構中，展頻效果主要來自數片薄晶體的疊加，而在空氣中光束則重新聚焦。然則在這種多介面結構中，其展頻之機制相當複雜，在實驗上，晶體擺放之位置係由經驗法則觀察光束展頻效果決定之，因此，若想應用此方法在不同光源情形中，透徹的數值模擬及分析相當必要。在本論文中，我們成功利用包含了光致遊離現象的非線性薛丁格方程式，模擬在中心波長分別為800及1030奈米的超連續光譜在多薄片晶體中之生成，我們也分別比較計算結果及模擬數據並透過調整參數找到最佳之結果，而詳細的展頻過程則能透過脈衝更迭之視覺圖像去了解。另一方面，這種高階非線性之機制容易產生相位的變動不定，因此，一套單發脈衝之量測能夠評估發與發之間的穩定性，在本論文中，我們透過單發式的頻域分辨光學開關法(FROG)去量測經壓縮之超連續光譜並且成功紀錄僅有單發之自譜圖。透過多發間的比較，我們成功證明在多薄片晶體中產生之超連續光譜的穩定性。

Multi-plate continuum (MPC) is a compact technique for generating an octave-spanning supercontinuum that could be further compressed to an isolated pulse. The discontinuity of medium distribution prevents the formation of multifilamentation which destroys the beam quality for high power applications. With the distributed scheme, the pulse is spectrally broadened gradually in the thin solid plates and refocuses in the free space intervals. The complex nonlinear interactions, however, cannot be predicted intuitively so that the plates are placed empirically. Therefore, a thorough numerical analysis is vital for applications. In this dissertation, we demonstrate the numerical simulation by utilizing the extended nonlinear schrodinger equation for ionized media. By finely tuning the physical parameters, the optimized results of MPC at the center wavelength of 800 nm and 1030 nm are calculated and compared with the measured data respectively. Moreover, the illustrations of pulse evolution in time domain and frequency domain facilities the understanding of detailed nonlinear processes. On the other hand, the phase fluctuations could be severe in the process of high nonlinearities. A shot-to-shot characterization is necessary for evaluating the stability of MPC. Here we demonstrate the single-shot measurement by single-shot polarization-gating crossed frequency-resolved optical gating (PG XFROG) and record the preliminary results of single-shot FROG trace for nearly transform-limited MPC compressed by chirped mirrors. The comparison over traces indicates the robustness of MPC.

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