Abstract
This paper outlines the process of modelling external electrooptic probes mounted on coplanar waveguides (CPW). The techniques used to describe the electromagnetic properties of the external probes are the finite difference time domain (FDTD) method and the finite difference transmission line method (FDTLM). These full wave techniques are time domain in nature that must be Fourier transformed to describe important frequency domain characteristics such as scattering parameters. The optical retardation of the probe is related to the full wave analysis through a commonly used grid size that results in a generalized basis for a complete electrooptic system analysis including a unique definition of an electrooptic transfer function,H(ω). Following the field simulation, the properties of the probe (invasiveness, retardation, signal distortion and group delay) are presented. Procedures for optimizing models for probe tips are discussed and related to a first-order model that has been developed. The results indicate that these probes can be simulated successfully on moderately sized Unix work stations and that the optimization of probe models must include the full wave simulation in the definition of the necessary gradients for the optimization process.
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M.SHINAGAWA and T.NAGATSUMA,IEEE Trans. Instrumentation & Measurement 43 (1994) 843.
J. A.VALDMANIS, G.MOUROU and C. W.GABEL,Appl. Phys. Lett. 41 (1982) 211.
K. J.WEINGARTEN, M. J. W.RODWELL and D. M.BLOOM,IEEE J. Quantum Electron. QE-24 (1988) 198.
D.CONN, X.WU, J.SONG and K.NICKERSON, inIEEE MTT-S International Microwave Symp. Dig. (Institute of Electrical and Electronic Engineers, MTT, Atlanta, GA, 1993) p. 221.
K. S.YEE,IEEE Trans. Antennas Propagat. AP-14 (1966) 302.
R. H.VOELKER and R. J.LOMAX,IEEE Trans. Microwave Theory Technol. 38 (1990) 302.
X.WU, D.CONN, J.SONG and K.NICKERSON,IEEE/OSA J. Lightwave Technol. 11 (1993) 448.
A.YARIV and P.YEH,Optical Waves in Crystals (Wiley, New York, 1982).
D. M.POZAR,Microwave Engineering (Addison-Wesley, Massachusetts, 1990).
M. Y.FRANKEL, S.GUPTA, J. A.VALDMANIS and G. A.MOUROU,IEEE Trans. Microwave Theory Technol. 39 (1991) 910.
G.HASNAIN, A.DIENES and J. R.WINNERY,IEEE Trans. Microwave Theory Technol. 34 (1986) 738.
S. S.BEDAIR and I.WOLFF,IEEE Trans. Microwave Theory Technol. 40 (1992) 41.
J. M.WIESENFELD,IBM J. Res. Develop. 34 (1990) 141.
K. Y.FORSYTH,SPIE 795 (1987) 317.
M. Y.FRANKEL, J. K.WHITAKER, G. A.MOUROU and J. A.VALDMANIS,IEEE Microwave & Guided Wave Lett.1 (1991) 60.
M. Y.FRANKEL, J. F.WHITAKER, G. A.MOUROU and J. A.VALDMANIS,Solid-State Electron. 35 (1992) 325.
D.CONN, X.WU, J.SONG and K.NICKERSON, inIEEE MIT-S International Microwave Symp. Dig. (Institute of Electrical and Electronic Engineers, MTT, Albuquerque, NM, 1992) p. 665.
M.MORGAN and K. K.MEI,IEEE Trans. Antennas Propagat. AP-36 (1988) 1096.
R. F.HARRINGTON,Field Computation by Moment Methods (Macmillan, New York, 1968).
X.ZHANG and K. K.MEI,IEEE Trans. Microwave Theory Technol. 36 (1988) 1775.
G. C.LIANG, Y. W.LIU and K. K.MEI,IEEE Trans. Microwave Theory Technol. 37 (1989) 1949.
X.ZHANG, J. Y.FANG, K. K.MEI and Y. W.LIU,IEEE Trans. Microwave Theory Technol. 36 (1988) 263.
J.LITVA, C.WU, K. L.WU, and J.CHEN,IEEE Microwave and Guided Wave Lett. 3 (1993) 438.
C.WU, K. L.WU, Z. Q.BI and J.LITVA,IEEE Trans. Antennas Propagat. 40 (1992) 526.
B.ENGQUIST and A.MAJDA,Math. Comp. 31 (1977) 629.
G.MUR,IEEE Trans. Microwave Theory Technol. 29 (1981) 1073.
X.WU, D.CONN, J.SONG and K.NICKERSON,Electron. Lett. 28 (1992) 2229.
X.WU, D.CONN, J.SONG and K.NICKERSON, inAP International Symposium, URSI Meeting and EMP Meeting Joint Symposia (Institute of Electrical and Electronic Engineers, Chicago, IL, July 1992) p. 49.
P. B.JOHNS and R. L.BEURLE,Proc. IEE 118 (1971) 1203.
S.AKHTARZAD and P. B.JOHNS,Proc. IEE 122 (1975) 1344.
S.AKHTARZAD and P. B.JOHNS,IEEE Trans. Microwave Theory Technol. MTT-23 (1975) 990.
W. J. R.HOEFER,IEEE Trans. Microwave Theory Technol. MTT-33 (1985) 882.
P. B.JOHNS and M.O'BRIEN,The Radio and Electronic Engineer 50 (1980) 59.
H.JIN and R.VAHLDIECK,IEEE Trans. Microwave Theory Technol. 40 (1992) 2207.
P.RUSSER, P. P. M.SO and W. J. R.HOEFER,IEEE Microwave and Guided Wave Lett. 1 (1991) 10.
M.ZHANG, Z.BI and J.LITVA, inAP Second International Symposium Technical Digest (Institute of Electrical and Electronic Engineers, Ann Arbor, MI, June 1993), p. 550.
A.YARIV,Optical Electronics, 4th edn (Saunders College, Philadelphia, 1991).
T.NAGATSUMA, T.SHIBATA, E.SANO and A.IWATA,J. Appl. Phys. 66 (1989) 4001.
M.SHINAGAWA and T.NAGATSUMA,Electron. Lett. 26 (1990) 1341.
J. A.VALDMANIS and S. S.PEI,Picosecond Electronics and Optoelectronics II (Springer-Verlag, New York, 1987).
M. S. HEUTMAKER, G. T. HARVEY, D. G. CRUICKSHANK and P. E. BECHTOLD, inDigest of the 17th International Conference on Quantum Electronics (IQEC, 1990) p. 50.
B. H.KOLNER and D. M.BLOOM,IEEE J. Quantum Electron. QE-22 (1986) 79.
B. P.LATHI,Signals, Systems and Controls, (Index Educational Publishers, New York, 1974).
B. P.LATHI,Engineering Optics (Spring-Verlag, Heidelberg, 1985).
J.SONG, D.CONN, X.WU and K.NICKERSON,Microwave and Optical Technol. Lett. 6 (1993) 493.
J. W.BANDLER and S. H.CHEN,IEEE Trans. Microwave Theory Technol. 36 (1988) 424.
J. W.BANDLER, R. M.BIERNACKI, S. H.CHEN, D. G.SWANSONJR and S.YE,IEEE Trans. Microwave Theory Technol. 42 (1994) 1353.
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Conn, D., Wu, H.X. & Zhang, M. Full wave electromagnetic simulation of electrooptic high-speed probes. Opt Quant Electron 28, 765–782 (1996). https://doi.org/10.1007/BF00820148
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DOI: https://doi.org/10.1007/BF00820148