The measured Faraday rotation curve for the 32-nm-thick YIG and 188-nm-thick Ce:YIG films coated on a silicon wafer is shown in Fig. 7. The saturated Faraday rotation value was 1905 deg/cm at 1550 nm, sufficient to provide the MO effect for the NPS-type optical isolator chip demonstration. Although the measured Faraday rotation value is lower than the maximum

of 2940 deg/cm for the 387-nm-thick Ce:YIG film, the 188-nm-thick Ce:YIG film was chosen to reduce optical loss in the given waveguide geometry because the optical waveguide loss with the MO clad increases as the Ce:YIG film thickness increases in the silicon core and stacked MO film structure. Therefore, in this study, considering the trade-off between Faraday rotation and optical loss, the 188-nm-thick Ce:YIG film was selected to demonstrate an optical isolator chip with low insertion loss.
5. Optical Isolator chip performance.
The performance of optical isolator chips based on silicon waveguides with sputter-coated 32- nm-thick YIG and 188-nm-thick Ce:YIG clad films was characterized by measuring the transmittance spectra of the forward and backward beams through the chips under an external magnetic field of about 1500 Gauss. The measured transmittance spectra are shown in Fig. 8.

The maximum optical isolation was 27.7 dB, and the minimum insertion loss was 6.4 dB. The 20-dB isolation bandwidth was about 1.1 nm. This result indicates that monolithically integrated silicon-waveguide isolator chips with a sputter-coated Ce:YIG film clad can be successfully operated in photonic integrated circuit applications.
The insertion loss of the fabricated optical isolator chip was determined by measuring the optical propagation losses of its individual waveguide sections. In Fig. 9(a), the measured propagation loss of the silicon waveguide with only SiO2 cladding is shown as a function of waveguide length. The loss was found to be approximately −3.79 dB/cm, which results in about 1.0 dB of loss over the total waveguide length of 2600 μm for the isolator chip, as shown in Fig. 10. Figure 9(b) displays the propagation loss of the MO waveguide section where YIG and Ce:YIG thin films are coated on the silicon waveguide. The measured propagation loss in this MO-clad waveguide region was around −26.68 dB/cm, corresponding to roughly 2.7 dB loss over the 1000 μm-long MO interaction section used in the isolator structure.
Besides the propagation losses in the waveguide sections, the chip includes two multimode interferometers (MMIs) that act as the optical splitter and combiner at both ends of the Mach–


ehnder interferometer setup. The excess loss from both MMIs was estimated at around 0.4 dB.
By combining these contributions, the isolator’s optical insertion loss, excluding the grating couplers, can be estimated. The silicon waveguide section with SiO2 cladding alone contributes approximately 1.0 dB, the waveguide section with MO cladding adds about 2.7 dB, and the MMI structures contribute roughly 0.4 dB of loss. Consequently, the estimated optical insertion loss of the isolator chip is around 4.1 dB.
However, the experimentally measured However, the experimentally measured insertion loss of the isolator chip was 6.4 dB, which exceeds the estimated internal loss. This discrepancy can mainly be attributed to two factors. First, the characteristics of the fabricated grating couplers were not uniform. Their insertion loss and coupling efficiency varied from chip to chip, potentially leading to inaccurate calibration of the grating coupler efficiency when determining the isolator chip’s insertion loss. Second, the fabricated chip did not meet the ideal nonreciprocal phase shift condition required for constructive interference in the forward direction of the Mach-Zehnder interferometer. If the phase shift deviates from the optimal value, some of the optical power may not be fully transferred to the output port, resulting in increased insertion loss.
Further improvements can be made by optimizing the thicknesses of the YIG and Ce:YIG films coated on the silicon waveguide and their thermal treatment conditions. An optimized silicon waveguide design, together with ideal MO film conditions, is essential for maximizing the Faraday rotation properties of the Ce:YIG-film-coated silicon waveguide and for demonstrating compact optical isolator chips.
Table 1 summarizes a comparison between the optical isolator chip implemented in this study and representative SOI-based integrated optical isolators previously reported. Previous studies achieved isolation levels of 20-30 dB and operating bandwidths exceeding several nanometers but required relatively limited integration processes such as wafer bonding or PLD. Some studies have reported very low insertion losses in isolator devices fabricated from SOI wafers with a 220-nm-thick top silicon layer. However, these insertion loss values were measured relative to the insertion loss of a silicon reference waveguide with the same dimensions but with either a SiO2 or an air cladding. Isolator devices based on SOI wafers with top MO cladding are effective for TM-mode beams. Unfortunately, silicon waveguides made with SOI wafers having a 220-nm-thick top silicon layer themselves have relatively high propagation loss for TM-mode beams. This is why SOI wafers with a 350-nm-thick top silicon layer were used in our isolator fabrication to reduce propagation loss across the entire waveguide.

This study aimed to demonstrate the feasibility of monolithically integrated MZI-type optical isolator chips with sputter-coated MO film clad. We anticipate that silicon-waveguidebased optical isolator chips with sputter-coated MO films can be further improved for compact, fully integrated PICs. There remains ample room to improve the MO properties of the YIG and Ce:YIG films, as well as the silicon waveguide devices, to achieve such high-performance isolator chips. In this study, have not considered the wideband characteristics of the MZItype optical isolators. The 20-dB isolation bandwidth can also be improved by appropriately
designing the silicon waveguide device and optimizing the MO film conditions.
6. Conclusion
In this study, we experimentally demonstrated an NPS-based integrated optical isolator by directly sputtering MO films onto a silicon waveguide. The YIG buffer and Ce:YIG MO films were sequentially deposited on a silicon waveguide structure fabricated using a standard silicon photonics foundry process. The magneto-optical properties of the Ce:YIG films were optimized via rapid thermal annealing processes.
Numerical analysis of mode confinement and NPS characteristics in TM mode confirmed that an NPS of approximately 65 deg/mm per unit length could be achieved at a waveguide width of 450 nm. In the actual fabrication of the optical isolator device, considering optical loss in the waveguide/MO stack structure, 32 nm YIG and 188 nm Ce:YIG magnetic films were used. The Ce:YIG film exhibited a Faraday rotation of 1905 deg/cm at 1550 nm.
The fabricated optical isolator achieved a maximum isolation of 27.7 dB and an insertion loss of 6.4 dB, with a 20-dB isolation bandwidth of approximately 1.1 nm. These results demonstrate that monolithically integrated optical isolators can be realized on a silicon photonics platform using a mass-producible sputtering process to deposit MO films on silicon waveguide structures. The initial chip performance exhibited relatively high insertion loss and a narrow isolation bandwidth; however, further improvements in high-performance isolator chips can be achieved by optimizing the silicon waveguide structures, the MO film coating, and the thermal treatment conditions. These monolithic optical isolator chips will enable the broad development of photonic integrated-circuit applications.
Funding. Korea Ministry of SMEs and Startups (MSS) (TIPS Program RS-2023-00302394, and RS-2024- 00447487), Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education (RS-2022-NR070869).
Acknowledgment. This work was supported partially by the Startup 1000 Project (micro DIPS #20279476) funded by the Ministry of SMEs and Startups through Seoul National University − System Semiconductor Industry Promotion Center. K.H. Kim thanks Mr. Jasper Leong at CompoundTek, Pte Ltd. for arranging collaborative foundry services.
Disclosures. The authors declare no conflicts of interest.
Data availability. Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request Supplementary Document. See Supplement 1 for supporting content.
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