Substring search in RavenDB

I have a set of objects of type Idea

public class Idea
{
    public string Title { get; set; }
    public string Body { get; set; }
}

I want to search this objects by substring. For example when I have object of title "idea", I want it to be found when I enter any substring of "idea": i, id, ide, idea, d, de, dea, e, ea, a.

I'm using RavenDB for storing data. The search query looks like that:

var ideas = session
              .Query<IdeaByBodyOrTitle.IdeaSearchResult, IdeaByBodyOrTitle>()
              .Where(x => x.Query.Contains(query))
              .As<Idea>()
              .ToList();

while the index is following:

public class IdeaByBodyOrTitle : AbstractIndexCreationTask<Idea, IdeaByBodyOrTitle.IdeaSearchResult>
{
    public class IdeaSearchResult
    {
        public string Query;
        public Idea Idea;
    }

    public IdeaByBodyOrTitle()
    {
        Map = ideas => from idea in ideas
                       select new
                           {
                               Query = new object[] { idea.Title.SplitSubstrings().Concat(idea.Body.SplitSubstrings()).Distinct().ToArray() },
                               idea
                           };
        Indexes.Add(x => x.Query, FieldIndexing.Analyzed);
    }
}

SplitSubstrings() is an extension method which returns all distinct substrings of given string:

static class StringExtensions
{
    public static string[] SplitSubstrings(this string s)
    {
        s = s ?? string.Empty;
        List<string> substrings = new List<string>();
        for (int i = 0; i < s.Length; i++)
        {                
            for (int j = 1; j <= s.Length - i; j++)
            {
                substrings.Add(s.Substring(i, j));
            }
        }            
        return substrings