Add-Type -Path "C:\Program Files\Microsoft\Exchange\Web Services\2.2\Microsoft.Exchange.WebServices.dll"
$schema = [Microsoft.Exchange.WebServices.Data.ExchangeVersion]::Exchange2010
$exchangeService.Credentials = New-Object -TypeName Microsoft.Exchange.WebServices.Data.WebCredentials -ArgumentList $mailboxName, $mailboxPassword
$exchangeService.Url = "https://myfqdn.to.mail.server/ews/exchange.asmx"
$inboxFolderName = [Microsoft.Exchange.WebServices.Data.WellKnownFolderName]::Inbox
$inboxFolder = [Microsoft.Exchange.WebServices.Data.Folder]::Bind($exchangeService,$inboxFolderName)
$Sfir = new-object Microsoft.Exchange.WebServices.Data.SearchFilter+IsEqualTo([Microsoft.Exchange.WebServices.Data.EmailMessageSchema]::IsRead, $true)
$Sfha = new-object Microsoft.Exchange.WebServices.Data.SearchFilter+IsEqualTo([Microsoft.Exchange.WebServices.Data.EmailMessageSchema]::HasAttachments, $false)
$sfCollection = new-object Microsoft.Exchange.WebServices.Data.SearchFilter+SearchFilterCollection([Microsoft.Exchange.WebServices.Data.LogicalOperator]::And)
$sfCollection.add($Sfir)
$sfCollection.add($Sfha)
$itemView = new-object Microsoft.Exchange.WebServices.Data.ItemView(20)
$frFolderResult = $inboxFolder.FindItems($sfCollection,$itemView)
$view = New-Object -TypeName Microsoft.Exchange.WebServices.Data.FolderView -ArgumentList 1
$view.Traversal = [Microsoft.Exchange.WebServices.Data.FolderTraversal]::Deep;
$filter = New-Object -TypeName Microsoft.Exchange.WebServices.Data.SearchFilter+IsEqualTo([Microsoft.Exchange.WebServices.Data.FolderSchema]::DisplayName, $folderName)
$results = $exchangeService.FindFolders([Microsoft.Exchange.WebServices.Data.WellKnownFolderName]::Inbox, $filter, $view)
if($results.TotalCount -eq 1)
{
    $dstFolder = [Microsoft.Exchange.WebServices.Data.Folder]::Bind($exchangeService, $results.Folders[0].Id)
    $attachmentCounter = 0
    $emailCounter = 0
    foreach ($miMailItems in $frFolderResult.Items)
    {
        $emailCounter++
        $miMailItems.Load()
        $miMailItems
    }
}