(

a) When in a proceeding falling within the provisions of

Section of the Government Code a person is not represented by a public defender acting pursuant to

Section of the Government Code or other counsel and he is unable to afford the services of counsel, the court shall appoint the State Public Defender to represent the person except as follows:

(1) The court shall appoint counsel other than the State Public Defender when the State Public Defender has refused to represent the person because of conflict of interest or other reason.

(2) The court may, in its discretion, appoint either the State Public Defender or the attorney who represented the person at his trial when the person requests the latter to represent him on appeal and the attorney consents to the appointment. In unusual cases, where good cause exists, the court may appoint any other attorney.

(3) A court may appoint a county public defender, private attorney, or nonprofit corporation with which the State Public Defender has contracted to furnish defense services pursuant to Government Code

Section 15402.

(4) When a judgment of death has been rendered the Supreme Court may, in its discretion, appoint counsel other than the State Public Defender or the attorney who represented the person at trial. (

b) If counsel other than the State Public Defender is appointed pursuant to this section, he may exercise the same authority as the State Public Defender pursuant to

Chapter 2 (commencing with

Section 15420) of Part of Division of Title of the Government Code.