Introduction to Blind Vias and Buried Vias
In the world of printed circuit board (PCB) design, vias play a crucial role in connecting different layers of a multilayer board. While through-hole vias are the most common type, extending from the top to the bottom layer of the PCB, blind vias and buried vias offer unique advantages in terms of space-saving and signal integrity. This article will explore the intricacies of blind and buried vias, their manufacturing process, advantages, limitations, and best practices for incorporating them into your PCB designs.
What are Blind Vias?
Blind vias are a type of via that starts from either the top or bottom layer of a PCB and terminates at one of the inner layers, without reaching the opposite side of the board. In other words, blind vias are “blind” because they are not visible from one side of the PCB.
Types of Blind Vias
There are two main types of blind vias:
Top Layer Blind Via : This type of blind via starts from the top layer and terminates at an inner layer.
Bottom Layer Blind Via : This type of blind via starts from the bottom layer and terminates at an inner layer.
Advantages of Blind Vias
Blind vias offer several advantages over through-hole vias:
Space-saving : By terminating at an inner layer, blind vias free up valuable real estate on the Outer Layer s of the PCB, allowing for denser component placement and more compact board designs.
Improved Signal Integrity : Blind vias reduce the distance that high-speed signals need to travel, minimizing the risk of signal degradation and cross-talk.
Enhanced Design Flexibility : Blind vias enable designers to create more complex board layouts and route signals more efficiently, especially in high-density designs.
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” 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What are Buried Vias?
Buried vias are another type of via that connects two or more inner layers of a PCB without extending to either the top or bottom layer. Buried vias are completely hidden within the board, making them invisible from the outside.
Advantages of Buried Vias
Buried vias offer similar advantages to blind vias, with a few additional benefits:
Increased Routing Density : By connecting inner layers without occupying space on the outer layers, buried vias allow for even denser routing and component placement.
Improved Mechanical Strength : Since buried vias are completely encased within the board, they contribute to the overall mechanical strength of the PCB.
Enhanced Security : Buried vias are hidden from view, making it more difficult for potential attackers to reverse-engineer or tamper with the board.
Manufacturing Process for Blind and Buried Vias
The manufacturing process for blind and buried vias is more complex than that of through-hole vias, requiring specialized equipment and techniques.
Laser Drilling
One of the most common methods for creating blind vias is laser drilling. A high-precision laser is used to drill holes through the outer layer(s) and into the desired inner layer(s). Laser drilling offers several advantages:
High Precision : Laser drilling can create holes with diameters as small as 50 microns, enabling the creation of high-density blind via arrays.
Minimal Damage : Unlike mechanical drilling, laser drilling does not cause delamination or other damage to the surrounding material.
Flexibility : Laser drilling can be used to create blind vias in a variety of materials, including standard FR-4, high-frequency laminates, and flexible substrates.
Sequential Lamination
Buried vias are typically created using a process called sequential lamination. In this process, the inner layers containing the buried vias are first laminated together, and then the outer layers are added in a second lamination step. The key steps in sequential lamination are:
Inner Layer Formation : The inner layers are patterned and etched, with the buried vias being formed during this stage.
Inner Layer Lamination : The inner layers are laminated together, with the buried vias connecting the desired layers.
Outer Layer Lamination : The outer layers are added to the laminated inner layers, completing the PCB stack-up.
Challenges in Manufacturing Blind and Buried Vias
While blind and buried vias offer numerous advantages, they also present some challenges during the manufacturing process:
Increased Cost : The specialized equipment and additional processing steps required for creating blind and buried vias make them more expensive than through-hole vias.
Limited Layer Count : The number of layers that can be connected using blind and buried vias is limited by the capabilities of the manufacturing process and the thickness of the PCB.
Design Constraints : Blind and buried vias have specific design rules that must be followed to ensure manufacturability, such as minimum hole size, aspect ratio, and via-to-via spacing.
Best Practices for Designing with Blind and Buried Vias
To ensure the successful incorporation of blind and buried vias in your PCB designs, consider the following best practices:
Communicate with your Manufacturer : Engage with your PCB Manufacture r early in the design process to understand their capabilities and design rules for blind and buried vias.
Consider the Cost-Benefit Ratio : While blind and buried vias offer many advantages, they also increase the cost of fabrication. Carefully consider whether the benefits justify the added expense.
Optimize Via Placement : Place blind and buried vias strategically to maximize their benefits, such as reducing signal path length or increasing component density.
Follow Design Rules : Adhere to the manufacturer’s design rules for blind and buried vias, including minimum hole size, aspect ratio, and spacing requirements.
Plan for Testing : Blind and buried vias can complicate PCB Testing , as they are not accessible from the surface. Plan for appropriate testing methods, such as flying probe testing or boundary scan testing.
Frequently Asked Questions (FAQ)
1. What is the difference between a blind via and a buried via?
A blind via starts from either the top or bottom layer of a PCB and terminates at an inner layer, while a buried via connects two or more inner layers without extending to the outer layers.
2. What are the advantages of using blind and buried vias in PCB design?
Blind and buried vias offer several advantages, including space-saving, improved signal integrity, enhanced design flexibility, increased routing density, improved mechanical strength, and enhanced security.
3. How are blind vias typically manufactured?
Blind vias are typically manufactured using laser drilling, which allows for high precision, minimal damage, and flexibility in terms of materials.
4. What is sequential lamination, and how is it used to create buried vias?
Sequential lamination is a process in which the inner layers containing the buried vias are first laminated together, and then the outer layers are added in a second lamination step. This allows for the creation of buried vias that connect the desired inner layers.
5. Are there any limitations or challenges associated with using blind and buried vias?
Yes, blind and buried vias have some limitations and challenges, such as increased manufacturing cost, limited layer count, and specific design constraints. It is essential to communicate with your PCB manufacturer and carefully consider the cost-benefit ratio when incorporating blind and buried vias into your designs.
Conclusion
Blind and buried vias are essential tools in the PCB designer’s toolkit, offering numerous advantages in terms of space-saving, signal integrity, and design flexibility. By understanding the manufacturing process, best practices, and limitations associated with these specialized vias, designers can effectively incorporate them into their designs to create high-performance, compact, and reliable PCBs. As technology continues to advance and the demand for denser, faster, and more complex PCBs grows, blind and buried vias will undoubtedly play an increasingly important role in the future of PCB design.
Via Type
Description
Advantages
Manufacturing Process
Blind Via
Starts from the top or bottom layer and terminates at an inner layer
Space-saving, improved signal integrity, enhanced design flexibility
Laser drilling
Buried Via
Connects two or more inner layers without extending to the outer layers
Increased routing density, improved mechanical strength, enhanced security
Sequential lamination
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