如何使用eloquent基于数据库关系返回json响应

我对Laravel很新 . 我正在考虑与Eloquent合作 .

假设我有2个表：类别和产品 . 这两个表有一对多的关系 . 1类可以有很多产品 .

我想返回一个JSON响应，该响应由一系列类别组成，其中每个类别都有一系列产品 . 它应该如下所示：

[
   {"name":"Category 1", "products": [
                                        {"name":"Product 1","price":"2.50"},
                                        {"name":"Product 2","price":"2.50"}
                                     ]
   },
   {"name":"Category 2", "products": [
                                        {"name":"Product 1","price":"1.95"},
                                        {"name":"Product 2","price":"2.15"}
                                     ]
   }
]

Models:

Category.php

<?php

class Category extends Eloquent{

    protected $table = 'categories';

    public function products(){
        return $this->hasMany('Product');
    }
}

Product.php

<?php

class Product extends Eloquent {

    protected $table = 'products';

    public function categories(){
        return $this->belongsTo('Category');
    }
}

Database tables:

create_categories_table：

<?php

use Illuminate\Database\Schema\Blueprint;
use Illuminate\Database\Migrations\Migration;

class CreateCategoriesTable extends Migration {

    public function up()
    {
        Schema::create('categories', function(Blueprint $table) {
            $table->increments('id');
            $table->string('name')->unique();
            $table->timestamps();
        });
    }

    ...
}

create_products_table：

<?php

use Illuminate\Database\Schema\Blueprint;
use Illuminate\Database\Migrations\Migration;

class CreateProductsTable extends Migration {

    public function up()
    {
        Schema::create('products', function(Blueprint $table) {
            $table->increments('id');
            $table->string('name')->unique();
            $table->string('price');
            $table->unsignedInteger('category_id');
            $table->foreign('category_id')->references('id')->on('categories');
            $table->timestamps();
        });
    }

    ...
}

Controller:

class ApiController扩展BaseController {

public function getIndex(){

    $categories = Category::all();

    return Response::json(array('data' => $categories));
}

}

我知道如何返回所有类别或产品或只返回类别的名称，但我似乎无法找到上面提到的json响应示例的解决方案 .

如果有人知道这将是非常有帮助的 . 提前致谢 .