How to show new products for a specific categories

I’m guessing the modification needs to be done in new.phml (app/design/frontend/default/default/template
/catalog/product/). Basically I’m thinking of duplicating new.phtml and calling it new_category1.phtml,
new_category2.phtml, etc and get “new” products from category id 1, category id 2 respectively.

<?php

$cat_id = 46; // category id$category = Mage::getModel('catalog/category')->load($cat_id); $todayDate  = Mage::app()->getLocale()->date()->toString(Varien_Date::DATETIME_INTERNAL_FORMAT);      
                        $products = $category->getProductCollection()->addCategoryFilter($category)->addAttributeToFilter('news_from_date', array('date' => true, 'to' => $todayDate))->addAttributeToFilter('news_to_date', array('or'=> array(
        0 => array('date' => true, 'from' => $todayDate),
        1 => array('is' => new Zend_Db_Expr('null')))
), 'left')->            addAttributeToSelect('*');

if (($_products = $this->getProductCollection()) && $_products->getSize()): ?><div class="hp-report">
    <div class="head-alt">
        <h2 class="title"><?php echo $this->__('New Products Category 46') ?></h2>
    </div>
    <table cellspacing="0" class="generic-product-grid" id="new-products-list-table">
        <tr>
        <?php $i=0; foreach ($_products->getItems() as $_product): ?>
            <?php if ($i>=4): continue; endif; ?>
      
            <td>
                <p class="product-image">
                    <a href="<?php echo $_product->getProductUrl() ?>" title="<?php echo $this->htmlEscape($_product->getName()) ?>"><img src="<?php echo $this->helper('catalog/image')->init($_product, 'small_image')->resize(170) ?>" width="170" height="170" alt="<?php echo $this->htmlEscape($_product->getName()) ?>" /></a>
                </p>
                <p><a class="product-name" href="<?php echo $_product->getProductUrl() ?>" title="<?php echo $this->htmlEscape($_product->getName()) ?>)"><?php echo $this->htmlEscape($_product->getName()) ?></a></p>
                <?php echo $this->getReviewsSummaryHtml($_product, 'short') ?>
                <?php echo $this->getPriceHtml($_product, true, '-new') ?>
                <?php if($_product->isSaleable()): ?>
                    <a href="<?php echo $this->getAddToCartUrl($_product) ?>"><img src="<?php echo $this->getSkinUrl('images/btn_add_to_cart.gif') ?>" alt="<?php echo $this->__('Add to Cart') ?>" title="<?php echo $this->__('Add to Cart') ?>" /></a>
                <?php else: ?>
                <div class="out-of-stock"><?php echo $this->__('Out of stock') ?></div>
                <?php endif; ?>
                <div class="clear"></div>
                <ul class="add-to">
                    <?php if ($this->helper('wishlist')->isAllow()) : ?>
                        <li><a href="<?php echo $this->getAddToWishlistUrl($_product) ?>" class="link-cart"><?php echo $this->__('Add to Wishlist') ?></a></li>
                    <?php endif; ?>
                    <?php if($_compareUrl=$this->getAddToCompareUrl($_product)): ?>
                        <li><a href="<?php echo $_compareUrl ?>"><?php echo $this->__('Add to Compare') ?></a></li>
                    <?php endif; ?>
                </ul>
                </td>
        <?php $i++; endforeach; ?>
        <?php for($i;$i%4!=0;$i++): ?>
                <td>&nbsp;</td>
            <?php endfor ?>
            </tr>
    </table>
    <script type="text/javascript">decorateTable('new-products-list-table');</script></div><?php endif; ?>