Lightbulbs will have shadows if they are next to other lit bulbs.
The light bulb itself will, but not the light the bulb produces. Comparing a bulb to what is essentially a laser pole, for any lack of any other way of characterizing it, isn't a one to one comparison. It's comprised of very intense light, and that's about it. Try shining a beam of light perpendicular to another beam of light and see if you can get it to cast a shadow.
But what I really like is making the lightsaber have a surrounding glow, illuminating other objects. That looks really cool.