Equivalent of Shared Worker Port in Service Worker?

Shared Worker uses Message Port to send messages between parent worker and Shared Worker.

Parent worker

var port = new SharedWorker('/worker.js').port;
port.onmessage = function(e){
    console.log(e.data);
};
port.start();
port.postMessage("Hello Shared Worker. I'm Mr. Tab");

Shared Worker (worker.js)

onconnect = function(e){
    var port = e.ports[0];
    port.onmessage = function(e){
        console.log(e.data);
    };
    port.start();
    port.postMessage("Hello Mr. Tab. I'm Shared Worker.");
};

What's about Service Worker? Is there anything similar to Shared Worker Port?