(b) Any judge retiring after July 7, 1960, who has or shall become entitled to credit for service as a judge of a court of record prior to the inclusion of the judges of those courts, or of all of those courts, under the Judges’ Retirement Law, or as a “judge of an excluded court” as defined by Section 75029, or as a “constitutional officer” or “public legal officer” as defined by Section 75030.5, without having contributed therefor to the Judges’ Retirement Fund, may at any time prior to retirement contribute for all or any part of that service by paying into the fund a sum of money computed by applying to the rate of salary which he or she actually received during his or her first year of service as a judge the rate of deduction first applicable to his or her salary as a judge after the inclusion of the judges of his or her court under the Judges’ Retirement Law, multiplied by the period of service for which contributions are elected to be made, plus interest at 3 percent a year to the date of his or her payment upon the amounts of the deductions and from the respective dates they would have been made if he or she had been the holder of a judicial office subject to the provisions of the Judges’ Retirement Law at the time of the rendition of the services for which he or she has received or hereafter receives that credit.

The amount of any contribution authorized by this subdivision and interest thereon shall be determined by the Judges’ Retirement System in accordance with this subdivision.