Abstract
A method based on Hilbert-transforms is used to reconstruct phase, group-delay and impulse response from magnitude-only information regarding the S 11 and S 21 parameters of photonic crystals (PC) constructed by periodically etching the ground plane of a microstrip line. Measurements show that for many practical cases this allows us to fully characterize the devices with a simple scalar network analyser instead of more sophisticated and expensive instrumentation, such as a vector network analyzer (VNA).
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References
Collin R.E. (2001). Foundations for Microwave Engineering. The IEEE Press Series on Electromagnetic Wave Theory, London, UK
Erro M.J., Laso M.A.G., Lopetegi T., Benito D., Garde M.J., Sorolla M. (2002). Analysis and design of electromagnetic crystals in microstrip technology using a fiber grating model. Opt. Quant. Electron 34: 297–309
Falcone F., Lopetegi T., Sorolla M. (1999). 1-D and 2-D photonic bandgap microstrip structures. Micr. Opt, Technol. Lett 22(6): 411–412
Hunter I. (2001). Theory and Design of Microwave Filters. IEE Electromagnetic Waves Series 48, London, UK
Laso M.A.G, Lopetegi T., Eno M.J., Benito D., Garde M.J., Muriel M.A., Sorolla M., Guglielmi M. (2001). Chirped delay lines in microstrip technology. IEEE Micr, Wireless Compon, Lett. 11(12): 486–488
Lopetegi T., Laso M.A.G., Erro M.J., Benito D., Garde M.J., Falcone F., Sorolla M. (2000). Novel photonic bandgap microstrip structures using network topology. Micr. Opt. Technol. Lett. 25(1): 33–36
Muriel M.A., Carballar A. (1997). Phase reconstruction from reflectivity in uniform fiber Bragg gratings. Optics Lett. 22(2): 93–95
Papoulis, A.: The Fourier Integral and its Applications. McGraw-Hill Electronic Science Series (1962)
Perry P., Brazil T.J. (1997). Hilbert-transform-derived relative group delay. IEEE Tran. on Microwave Theory Tech. 45(8): 1214–1225
Poladian L. (1997). Group-delay reconstruction for fiber Bragg gratings in reflection and transmission. Optics Lett. 22(20): 1571–1573
Qian, Y., Radisic, V., Itoh, T.: Simulation and experiment of photonic band-gap structures for microstrip circuits. Asia-Pacific Microwave Conference, pp. 585. Hong Kong (Dec. 1997)
Radisic V., Quian Y., Coccioli R., Itoh T. (1998). Novel 2-D photonic bandgap structure for microstrip lines. IEEE Microwave Guided Wave Lett. 8(2): 69–71
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Erro, M.J., Arnedo, I., Laso, M.A.G. et al. Phase-reconstruction in photonic crystals from S-parameter magnitude in microstrip technology. Opt Quant Electron 39, 321–331 (2007). https://doi.org/10.1007/s11082-007-9079-3
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DOI: https://doi.org/10.1007/s11082-007-9079-3