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Multimode switch (MMS) allows realizing multimode optical communication enabling high-speed communication. However, to develop such an ultrafast switch for simultaneous multimode with a compact size is very challenging. In this paper, we design and demonstrate a compact multimode <inline-formula> <tex-math notation="LaTeX">$2\times 2$ </tex-math></inline-formula> MMS based on numerical simulation methods using silicon <inline-formula> <tex-math notation="LaTeX">$\Psi $ </tex-math></inline-formula>-junctions and multimode interference (MMI) couplers. The switch is controlled by thermal-optic phase shifters which is able to switch simultaneously states of the optical signal between three quasi-transverse electric modes. The MMS exhibits a low insertion loss from &#x2212;1.5 dB to &#x2212;3 dB, low crosstalk below &#x2212;22 dB, and high extinction ratio larger than 22 dB in 40-nm bandwidth in the third telecom window from 1520 to 1560 nm, respectively. With a compact footprint of <inline-formula> <tex-math notation="LaTeX">$12\,\,\mu \text{m}\,\,\times 1300\,\,\mu \text{m}$ </tex-math></inline-formula>, the MMS exhibits relatively large dimensional tolerances. Besides, the MMS provides total electric power consumption levels smaller than 103 mW at an ultrafast switching time of <inline-formula> <tex-math notation="LaTeX">$4.4~\mu \text{s}$ </tex-math></inline-formula> without the impact of the plasmonic effect. Furthermore, the conceptual principle of the proposed MMS can be reconfigurable and scalable in dimensional multifunctional on-chip mode-division multiplexing optical interconnects and promising potential for photonic large scale integration circuits in the continuum band.