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Analysis and Design of Frequency Combs based on Time Varying Multimode Resonators

Samadi, Samin | 2025

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 58077 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Mehrany, Khashayar; Memarian, Mohammad
  7. Abstract:
  8. A frequency comb is a tool for precise measurement of frequency and time, characterized by an equidistant frequency spectrum in the frequency domain. This tool has numerous applications, including in medicine, spectroscopy, and the calibration of astronomical spectrometers. Over the past two decades, various methods for generating frequency combs have been investigated. Among these methods, the use of mode-locked lasers and four-wave mixing techniques are commonly mentioned. This thesis explores and analyzes a novel method for generating frequency combs based on time-variant linear structures. This method, recently developed by researchers, including the Applied Electromagnetics Group at Sharif University of Technology, has been introduced as a new approach for generating frequency combs in optical and microwave frequencies. In this research, a structure consisting of a composite resonator with a time-varying blade is examined under the illumination of an external plane wave. The primary goal is to analyze the scattering of reflected and transmitted waves to optimize the performance of the frequency comb. The proposed structure is designed with sinusoidal variations, and a key condition in its analysis is the equality of the blade’s modulation frequency with the frequency spacing between the static modes of the structure. Under these conditions, energy is transferred to a large number of modes, resulting in an output spectrum with significant amplitude levels. Additionally, various ideas for improving the quality of the output spectrum are examined, and the equivalent transmission line model of this structure is also studied to assess its feasibility and stability in practical implementation. This enables the design of a frequency comb with improved performance compared to previous structures
  9. Keywords:
  10. Frequency Comb ; Multi-Mode Resonators ; Frequency Measurement with High Precision ; Time-Varying Structure ; Time-Variant Linear System

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