Should "Deadbeat Dads" Be Sent To Jail?

When marriages break apart, often it is the mother who is granted custodial rights to the children, and the father is instructed to pay a certain amount of his income to the family for child support. But what happens when fathers don't pay the court ordered financial support? Some men have been arrested and jailed for being "deadbeat dads." Is this really an incentive for a father to pay for his child's well being? Some fathers are bitter at mothers and choose to avoid their families because of this. Isn't fatherhood more than a paycheck? Many men don't come around their families if they are going through financial hardship. What should father's do when they just don't have the money to pay? What should we do to encourage fathers to continue to be involved in their children's lives even when the relationship between the mother and father is over?