AWS SES SendEmail specifying a name gives 403 Forbidden response - php

Question

I am trying to set up a mail system with Amazon SES service. All is good and working if I use only the email address in "Source" parameter. If I try to add a name, I get a 403 Forbidden HTTP error.
In my PHP code I use AWS SDK:
$client = Aws\Ses\SesClient::factory(array(
'key' => 'MYAWSKEYXXXXXXXXXX',
'secret' => 'MYAWSSECRETXXXXXXXXXXX',
'version'=> 'latest',
'region' => 'us-east-1'
));
$request = array();
$request['Source'] = "sender#example.com";
$request['Destination']['ToAddresses'] = array("receiver#example.com");
$request['Message']['Subject']['Data'] = 'Mail Subject';
$request['Message']['Body']['Html']['Data'] = 'mail body in HTML: <b>Hello!</b>';
try {
$result = $client->sendEmail($request);
$messageId = $result->get('MessageId');
$message = "Email sent! Message ID: $messageId";
} catch (Exception $e) {
$message = "The email was not sent. Error message: ";
$message .= $e->getMessage();
}
This code works great, because I have correctly set up my email source in the AWS console with the correct policy. So "sender#example.com" in this example can correctly send the email.
Then, if I try to add a name to the "Source" param, I don't have any success. I tried:
$request['Source'] = "My Name <sender#example.com>";
OR
$request['Source'] = "'My Name' <sender#example.com>";
OR
$request['Source'] = "'My Name'<sender#example.com>";
OR
$request['Source'] = "'My Name <sender#example.com>'";
OR
$request['Source'] = '"My Name" <sender#example.com>';
OR
$request['Source'] = '"My Name"<sender#example.com>';
OR
$request['Source'] = '"My Name <sender#example.com>"';
None of the above work.
Does anybody have any idea on how to use SES sendEmail with email names?
Some answers I saw here, like this one, simply don't work. I need to use sendEmail and PHP SDK.