How to allow anonymous along with windowsAuthenticated to access the WebApplication

Question

Is it possible to allow access to webapplication both windowsAuthenticated and anonymous users? So if user windowsAuthenticated I will receive not empty HttpContext.Current.User.Identity.Name, but if user not windowsAuthenticated (anonymous) access will be allowed too (with an empty HttpContext.Current.User.Identity.Name).

I used such a web.config system.web part:

<system.web>
    <compilation debug="true" targetFramework="4.5" />
    <httpRuntime targetFramework="4.5" />
    <authentication mode="Windows" />
    <authorization>
      <allow users="*,?"/>
    </authorization>
</system.web>

Server is windowsAuthentication enabled=true and anonymousAuthentication enabled=true. WebApplication is no MVC or such things - plain .aspx.

Currently a have anonymous access, but for windowsAuthenticated users there is HttpContext.Current.User.Identity.Name not always contains user name. Sometimes I need to press F5 in browser several times to get HttpContext.Current.User.Identity.Name filled.