standards - Encoding properties for each point in a GeoJSON multipoint

I'm working with GeoJSON Multipoints and wondering if there's any way of encoding properties for each point in the array? I realise this is a vague question but I'm looking for suggestions as to how I might achieve this or if there's a standard I'm unaware of.

AN EXAMPLE

In the example below I would be looking for a way for point1_property to represent a value for the first point in the MultiPoint array and point2_property to represent a value for the second point.

{  
    "type":"FeatureCollection",
    "features":[
        {
            "type":"Feature",
            "geometry":
                {
                    "type": "MultiPoint",
                    "coordinates": [ 

                        [100.0, 0.0], [101.0, 1.0] 
                    ]
                },
                "properties":{  
                "point1_property":"value1",
                "point2_property":"value2"
            }
        }
    ]
}