Ohio Rev. Code § 145.035
Notwithstanding section 145.03 of the Revised Code, an individual employed by, or otherwise compensated with state funds appropriated to, the department of development who is principally located outside of the United States and is or intends to become a member of a foreign government's retirement or social security system in lieu of becoming a member of the public employees retirement system may choose to be exempted from membership in the public employees retirement system by signing a written application for exemption within the first month after being employed and filing such application with the public employees retirement board. The application, when approved as to form by the board and filed with the employer, shall be irrevocable while the individual is continuously employed as described in this section and such individual shall forever be barred from claiming or purchasing membership rights or credit for the particular period covered by the exemption. Any individual who is or becomes a member of the public employees retirement system shall continue the membership as long as he is a public employee, even though he may be in or transferred to employment described in this section.
R.C. §145.035